Mechanical advantage is the ratio of load to effort.
Nickzom Calculator – The Calculator Encyclopedia solves for mechanical advantage alongside a bunch of other problems in Physics.
For Example: Let’s calculate mechanical advantage of a machine when the load is 200 N and the effort is 120 N.
Mechanical Advantage = Load / Effort
Load = 200 N
Effort = 120 N
Mechanical Advantage = 200 / 120 = 1.6667
Therefore, the mechanical advantage of the machine is 1.6667.
Let me show you how Nickzom Calculator solves the mechanical advantage of a machine and displays the steps too.
First and Foremost, proceed to the Calculator Map. Then, click on Machines under Physics.
Now, click on Mechanical Advantage in the Machines Page
An interface for you to enter the values of Load and Effort accordingly is displayed for you.
Enter the appropriate values
Lastly, click on Calculate
The result of the calculation alongside the formula, parameter, steps and answer is displayed for you.
You can access Nickzom Calculator (The Calculator Encyclopedia) via any of these channels:
Web – https://www.nickzom.org/calculator-plus
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
]]>What is a discrete number?
A discrete number is a standalone number. It might be a whole number or fractional number but it stands on its own with no extension or range. An example of a discrete number is 5, 12, 10.6, 17, 20
What is a continuous number?
A continuous number is a range of numbers packaged as a single entity. An example of a continuous number is 5 – 10, 20 – 30, 25 – 50.
There are two possibilities in calculating the mean of a set of discrete numbers. One can either compute the mean via the application of frequency or no frequency at all.
For Example: A set of discrete numbers such as these:
4, 5, 6, 7, 8, 9
These numbers all occur once and have a frequency of 1 per number.
Therefore, if you want to create a table for the number and frequency, it looks like this:
Number 4, 5, 6, 7, 8, 9
Frequency 1, 1, 1, 1, 1, 1
You can clearly see that there is no need for applying frequency to calculate the mean of the above set of numbers. Application of frequency on a large set of numbers makes it easier to organize and compute the mean.
Now, for a set of numbers such as these:
4, 4, 4, 2, 4, 5, 3, 3, 3, 2, 1, 1, 6, 4, 3, 2, 4, 2, 5, 2, 1
You can see that some of the discrete numbers occur more than once and this implies that application of frequency is useful and makes the computing of mean easier and comprehensive.
From the display of numbers above you can see that the number 4 occurred 6 times, the number 2 occurred 4 times, the number 5 occurred 2 times, the number 3 occurred 4 times, the number 1 occurred 3 times, the number 6 occurred 1 time.
Arranging the values in the form of a table gives us:
Number 4, 2, 5, 3, 1, 6
Frequency 6, 4, 2, 4, 3, 1
Today, I would like for us to start with how to compute the mean of a set of discrete numbers without frequencies.
Let’s say we are given a set of numbers such as 4, 5, 2, 1, 8 and our task is to find the mean or average of these numbers.
What do we do?
Obtaining the sum
sum = 4 + 5 + 2 + 1 + 8
sum = 20
The total number of numbers is 5.
Now, dividing the sum by total number of numbers (N) gives us the mean or average.
Mean or Average = 20 / 5
Mean or Average = 4
Therefore, the mean or average of 4, 5, 2, 1, 8 set of numbers is 4.
Now, let us try to calculate the mean of a set of discrete numbers with frequencies.
For Example:
Given these set of numbers 4, 4, 4, 2, 4, 5, 3, 3, 3, 2, 1, 1, 6, 4, 3, 2, 4, 2, 5, 2, 1 organize them into frequency and compute the mean.
Organizing the above set of numbers is easy and has been well explained above
Therefore, the Number – Frequency table looks thus:
Number 4, 2, 5, 3, 1, 6
Frequency 6, 4, 2, 4, 3, 1
How do we compute the mean or average?
Now, lets compute a Number-Frequency-Product table
Number 4, 2, 5, 3, 1, 6
Frequency 6, 4, 2, 4, 3, 1
Product 24, 8, 10, 12, 3, 6
Sum of the product is 28 + 8 + 10 + 12 + 3 + 6 which results to 67.
Sum of the frequencies 6 + 4 + 2 + 4 + 3 + 1 which results to 20.
Therefore, the mean or average of these set of numbers is 67 / 20 which results 3.35.
Computing Mean or Average for Continuous Numbers
For Example:
Compute the average of a continuous numbers: 31 – 40, 41 – 50, 51 – 60 with frequencies 2, 3, 4 respectively
How do we compute this mean?
To get the individual mean of a continuous number is very simple. For Example: a continuous number such as 31 – 40. You do (31 + 40) / 2. This results to 71 / 2 which finally comes up to 35.5.
Therefore,
31 – 40 is represented by 35.5
41 – 50 is represented by 45.5
51 – 60 is represented by 55.5
Table Representation
Number 31 – 40, 41 – 50, 51 – 60
Frequency 2, 3, 4
m 35.5 45.5 55.5
Now, compute the product of m (individual mean of the continuous number) and the frequency which means: 35.5 x 2, 45.5 x 3, 55.5 x 4 respectively. f.m represents the product.
Number 31 – 40, 41 – 50, 51 – 60
Frequency 2, 3, 4
m 35.5, 45.5, 55.5
f.m 71, 136.5, 222
Now, take the sum of the product of the frequency and individual mean of the continuous numbers respectively as follows: 71 + 136.5 + 222 which results 429.5. The sum of the frequencies, 2 + 3 + 4 which results to 9.
Therefore, the mean or average of the set of continuous numbers is sum of the product of the frequency and individual mean of the continuous numbers divided by the sum of frequencies which results to 429.5 / 9 which is 47.72.
I hope you had a nice lesson today learning how to solve and calculate the mean or average of a set of discrete and/or continuous numbers.
Below is a video of how Nickzom Calculator – The Calculator Encyclopedia calculates and solves mean or average for both discrete and continuous numbers with steps. Watch and Enjoy!
You can access Nickzom Calculator (The Calculator Encyclopedia) via any of these channels:
Web – https://www.nickzom.org/calculator-plus
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
]]>Let’s convert 20 Ton-Forces (metric) to Pound-Forces.
First and Foremost, proceed to the Calculator Map, click on Force Switches under Switches section.
On clicking, displays the interface for you to enter your values.
Now to perform the example above we have to select the appropriate units in From and To and enter the accurate unit value.
From the example given, the From Force Unit is Ton-Forces (metric), the Unit Value is 20 and the To Force Unit is Pound-Forces.
Finally, click on the Convert button
Here goes the result of the conversion as stated in the screenshot above.
You can access Nickzom Calculator (The Calculator Encyclopedia) via any of these channels:
Web – https://www.nickzom.org/calculator-plus
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
]]>It is true that tiny drops of water can make an ocean but time interval at which it drops and its consistency are the keys. No child becomes an adult within the space of one year. It takes several years of growth and development for that dream to become an obvious reality. One is not left in the dark on the effect of financial calculations in the economy except they’ve chosen to be intentionally blind to its truth.
The economy of a nation or a person can be affected in no small way by certain financial calculations like taxes,charges etc both positively and negatively depending on who receives and who gives. A nation involved in international trade have the responsibility of paying certain levies saddled on her shoulder, some of which might be too high and could possibly devalue her currency.
Business owners also owe it to certain government bodies to pay taxes at a fixed rate which might possibly increase with the fleeting of years and takes no consideration of the woes and fortunes of the business owner per time. Though it is a decent source of fund that can be cruel to those it is being sourced from,revenues are being generated when these funds are invested in certain sectors that have been known for wholesale delivery of bountiful returns,which in turn can serve as a means of giving back to the society and people who labour to make policies, enforce and carry it out in different strata of the working sector.
In a nation like Nigeria, housing millions of citizens, a unit naira from all of her citizen can meet the need of a widow who has a dying son needing surgery, how much more few hundreds and thousands of naira. A system can be build such that would sustain the circulation of funds in such a way that the poor are made a little less poorer and the rich,a little less richer thereby introducing a dynamic equilibrium to the system of our economy.
Financial calculations have been known to be one of the ways through which government generate funds. In as much as this strategy is essential, consideration should be taken towards stepping up and stepping down those calculations in such a way that the levied would part with a sum enough for them to bargain with the reality of their immediate environment and also towards standardizing its to vary in a way commensurate to the earnings of the levied. A growing economy is possible if rates increase with dynamic earnings other than increasing with static earnings.
Charges on transactions made with commercial banks have proved to be a threat to funds owned by several government agencies that have employed their services. A recent study revealed that from September 2015, the Federal government has saved a total of N128bn from charges imposed by banks for managing funds belonging to the ministry, departments and agencies of government by adopting the TSA (Treasury Single Account) scheme.
The amount, according to investigation, represents the various charges and account maintenance fees,which were heretofore charged by the Deposit Money Banks for holding government funds. Prior to the commencement of TSA (Treasury Single Account) scheme, the government was incurring about N4bn monthly to maintain its various accounts in banks whereas it could have been been used to meet the immediate economic needs of the nation. This situation outrightly explains how the nation loose more trying to save more and thereby introducing a gradual decline in the state of the nation’s economy as funds are indirectly channeled towards non-profit making projects as this.
The recently introduced scheme of TSA has saved government large sums that would have gone on commercial bank charges. The initiative, which commenced fully in September 2015,has been complied with by over 900 agencies of government with 20,000 bank accounts closed. In the detailed calculations of the tonne of savings this scheme has delivered to the government from September 2015 to April 2018,a total of 32 months of 4bn charge per month equals N128bn.
It is obvious that financial calculations have a way of affecting the economy entirely. In spite of the advantages it promises,its cruel disadvantages can be managed by adopting a system that can check its excesses as it cannot be ruled out out-rightly.
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The Nickzom Calculator has been in existence since 2013, launched on the 2nd of December, and has had major developments in its functionality till date with the Pro version Nickzom Calculator+ coming in place. This app is user friendly, easy navigation and requires no Internet connection after installation. Not enough, there’s more.
The Nickzom Calculator is a web, mobile and desktop platform that solves calculation problems and display the steps of the solution right to the final answer.
Now imagine you have a calculation to solve and you do not know how to go about it or you have consulted your textbook to see how various questions are solved and you’re utterly disappointed because, they solved only the simpler ones, or you don’t just get how the problem was solved. It is because of situations like this that Nickzom Calculator exists. This app solves calculations on Mathematics, Physics, Engineering, Chemistry, Finance, Accounting, Geology, Economics, Unit Conversions etcetera for quick and easy understanding.
The goal of this math app is to provide one with solutions and steps to his or her calculations, alongside a basic and scientific calculator, making that topic or assignment less complex.
Nickzom Calculator covers over 50,000 calculations in over 12 different fields. Users can click on topics of interest, input their parameters, and hit Calculate. Nickzom Calculator immediately displays the steps on how the problem was solved till the final answer, with appropriate explanations at each point. This app presents the formula, equations, parameters and operations, steps and answer to your question.
It comes with a sub-platform that allows secondary and tertiary students to post and answer assignments. It also has an instant messaging feature that enables users to communicate with each other. Cool right!
You can also reach out to the developers by clicking the “Let us help you solve that maths” banner to solve Maths problems not readily available on the platform.
While Nickzom calculator seems tailored to meet the needs of students within a learning environment, it is also important to point out that its usefulness extends beyond that.
In Engineering, it covers:
Economics (Economic Equivalence and Depreciation), Basic Electrical, Basic Electronics, Calculus (Differentiation and Integration), Laplace Transform, Linear Algebra (Matrix Arithmetic, Solutions of Linear Systems), Linear Programming (Without Artificial Variables), Mechanics (Statics and Dynamics) and more.
In Mathematics, it covers:
Algebraic Identities, Arithmetic Progression (Sequences and Series), Binomial Series, Complex Numbers, Compound Interest, Cosine Rule, Factorial, Geometric Progression (Sequences, Series and Infinite Series), Indices, Latitude and Longitude, Linear Equation, Logarithm and lots more.
So much in-depth knowledge and explanations can be gotten from the various Math laws and theorems available.
In Physics, topics like:
Elasticity, Electric Field, Electrolysis, Electro magnetism, Energy Quantization, Equilibrium Of Forces, Gas Laws, Gravitational Field, Heat Energy, Machines, Magnetic Field, Motion, Pressure, Projectile, Radioactivity, Simple A.C. Circuit are covered and more.
In Unit Conversions, Nickzom Calculator converts the following units:
Temperature Units,
Mathematical Number Bases (Binary, Decimal, Hexadecimal, Octal and Custom [3 – 9]), Coordinates Units (Cylindrical, Spherical, Rectangular or Cartesian and Polar).
If you are just looking for a simple scientific calculator, this app also works well too. Everyone can easily use this app.
The Pro version Nickzom Calculator+ has 30+ unit conversions and 30+ Chemistry calculation solutions, which is updated on a regular basis with more content and solutions to calculation problems. Though, will cost you $25.99, still worth every penny.
The Nickzom Calculator is one of the best mathematical problem solver applications, with over 10,000 installations on Google play store, and over 180 reviews from various users, with a 4.7 star rating.
Math tutorials and mathematical lessons in class or study groups can also be carried out using this Calculator.
If you are a Math student, Lecturer, Researcher or have any thing to do with Mathematics, all you need to do is to go to the site below, download the desktop or mobile app, click on the title of the topic and navigate your way through. Don’t forget to rate this app and also support by buying the professional version.
One can access Nickzom Calculator via any of these channels:
Web – https://www.nickzom.org/calculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
]]>In mathematics, differential calculus is a sub-field of calculus^{} concerned with the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus, the study of the area beneath a curve.
Nickzom Calculator calculates function of a function for the following formats:
k, a and n in the formats above represents constants.
The expression represents a polynomial, quadratic or linear mathematical statement, such as:
So implementing the expressions and applying constant numbers here is a list of what the function of a function formats look like that can be solved by Nickzom Calculator and also display the steps (workings).
Function of a Function makes use of the chain rule
^{dy}/_{dx} = ^{dy}/_{du} x ^{du}/_{dx}
Using the calculator encyclopedia – Nickzom Calculator for your calculus problem makes work very easy and faster for you on all fronts.
You can access Nickzom Calculator (The Calculator Encyclopedia) via any of these channels:
Web – https://www.nickzom.org/calculator-plus
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
To begin getting answers for a function of a function calculus differentiation problem, it is best to obtain the Nickzom Calculator professional version (Nickzom Calculator+). You have three choices to reach to the page or activity for performing the Function of a Function operation.
First Choice:
Proceed to the Calculator Map, click on Calculus under the Engineering Section
On the Calculus, Page or Activity, click on Differentiation
On the Differentiation Page or Activity, click on Function of a Function
On clicking on the Function of a Function, you get directed to the page or activity for you to input your values and get your answer and workings. The screenshot of the page is shown below. I would love to show you the two other ways you can reach this page from the app.
Second Choice:
Select Engineering and click on Open Section in the Home Page
Now, click on Calculus in the Engineering section
This now takes us to the Calculus page, now click on differentiation and then on function of a function on the differentiation page.
Third Choice:
This choice is the fastest way to the function of a function activity
At the home page, type function of a function in the search box
Click on Search or press Enter, then a search result gets displayed. Click on Calculate Differentiation | Function
Search Result on Web
Search Result on App
On clicking on Calculate Differentiation | Function, you get directed to the Function of a Function page.
For the purpose of this post let us get answers to two function of a function calculus problems which are:
First Example:
We need to identify the function format for Nickzom Calculator to solve for sin(3x + 5) and this format is sin(expression). Therefore, we select sin(expression)
Now Click on Calculate, you are now required to enter the degree of your expression. Our expression is 3x + 5, therefore, the degree is 1.
You can simple check out this link to Math is Fun to see how to know the degree of a mathematical expression in case you do not know.
Enter 1 as the degree of the expression and click on Calculate. An input format is displayed for you to enter the appropriate values.
Since our function of a function problem is sin(3x + 5). What’s next is for us to fill in the appropriate data or values; 3 as the coefficient of x and 5 as the constant like in the screenshot below.
Lastly, click on Calculate, Nickzom Calculator would work its magic by solving this problem and displaying the answer alongside the formula and workings for you as seen in the screenshots below.
Second Example:
Just like we did in the first example, we need to identify the function format that fits this calculus problem of (2x^{2} + 3x + 5)^{3} and the format is (expression)^{n}. Now we select the format (expression)^n and click on calculate.
We need to enter the degree of our expression and since the expression is 2x^{2} + 3x + 5, the degree is 2.
Again, you can simple check out this link to Math is Fun to see how to know the degree of a mathematical expression in case you do not know.
Now, enter 2 as the degree of the expression and click on Calculate
Nickzom Calculator now provides an input form for you to properly enter the values according to the right coefficients.
Now, click on Calculate for Nickzom Calculator to do its magic.
Now, that’s it. You can see a lot of the wonders of Nickzom Calculator by trying the various formats for a Function of a Function in differential calculus.
]]>Lighting or illumination is the deliberate use of light to achieve a practical or aesthetic effect. Lighting includes the use of both artificial light sources like lamps and light fixtures, as well as natural illumination by capturing daylight. Daylighting (using windows, skylights, or light shelves) is sometimes used as the main source of light during daytime in buildings. This can save energy in place of using artificial lighting, which represents a major component of energy consumption in buildings. Proper lighting can enhance task performance, improve the appearance of an area, or have positive psychological effects on occupants.
The calculator encyclopedia converts 12 units of illumination. These units are:
To commence this conversion, proceed to the Calculator Map, click on Light Switches under Switches (Unit Conversion).
Click on Illumination Switches (Unit Conversion)
On clicking on the illumination Switches an interface is displayed to enter the unit value and select the unit parameters.
For Example: Let’s convert 450 Flame to Nox.
Select Flame in the (FROM) Illumination Unit
Enter 450 as the Unit Value
Select Nox in the (TO) Illumination Unit
Finally, click on Calculate
The answer is accurately shown to you.
You can access Nickzom Calculator (The Calculator Encyclopedia) via any of these channels:
Web – https://www.nickzom.org/calculator-plus
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
]]>In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.
In mathematics, a combination is a selection of items from a collection, such that (unlike permutations) the order of selection does not matter.
Getting answers and workings (steps) for permutation and combination problems in Nickzom Calculator – The Calculator Encyclopedia is very simple and I would very much love to show you how you can do this easily.
You can access Nickzom Calculator (The Calculator Encyclopedia) via any of these channels:
Web – https://www.nickzom.org/calculator-plus
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
First and Foremost, proceed to the Calculator Map, under the Mathematics section click on Permutation|Combination.
Let’s begin with solving a problem on Permutation. I hope by now you do know the value of n and r
Click on Permutation
An interface for you to enter your values of n and r is displayed for you.
Now, enter the values.
Finally, click on Calculate
As clear as crystal, the formula, workings and steps is properly displayed for you. I do hope you understand, right?
Great, moving on to Combination navigate back to the Permutation and Combination page and click on Combination
The combination interface is displayed for you to enter the values.
Enter the accurate values according to the n and r parameters.
Lastly, click on Calculate
Once again, a display of the result is clearly shown.
Thank you!
]]>Where as to get the answer for maximum range of a projectile requires two parameters to be given which are:
Let’s first, proceed to the home page of the app. Select Physics and click on Open Section
Then proceed to click on Projectile
Let’s first get an answer for a simple projectile problem using Nickzom Calculator.
A motorcyclist has set up a stunt with a ramp at the edge of a gorge. The ramp is inclined at 53.1° from the horizontal plane. She plans to take off from the ramp at a velocity of 28.0 m/s. At that velocity, what will be her horizontal range at an acceleration due to gravity of 9.81m/s^{2}?
Now, we would click on Range in the Projectile Page.
This page below comes up.
We already know the values of the parameters now, let us state them out and input them accurately and appropriately into Nickzom Calculator.
Acceleration due to Gravity: 9.81
Initial Velocity: 28
Angle of Projection: 53.1
Now, all that is left is to click on Calculate
You can clearly see from the screenshot above that the range is 76.75 m.
Great, let’s now use Nickzom Calculator to get answers for maximum range of a projectile.
What is the maximum range of a projectile with an initial velocity of 30 m/s and and acceleration due to gravity of 10 m/s^{2}?
Navigate back to the Projectile page and click on Maximum Range
A page with the two parameters for you to enter is displayed.
Identifying the parameters and entering the values
Acceleration due to Gravity: 10
Initial Velocity: 30
Finally, click on Calculate
As we can see from the screenshot above, the maximum range is 90 m.
You can access Nickzom Calculator (The Calculator Encyclopedia) via any of these channels:
Web – https://www.nickzom.org/calculator-plus
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
]]>Every new development, be it positive or negative has its importance and disadvantages as well. Its importance gives it a penetration advantage to be valued and appreciated in spite of its disadvantages. Just like the reality of sickness created opportunities for doctors to be valued and appreciated in their sphere of influence for saving lives, Science, Technology, Engineering and Mathematics have not done any less. Not only does it create opportunities, it also suggests ways those opportunities can be harnessed.
In our present age of growing advancement, the importance of STEM (Science, Technology, Engineering and Mathematics) cannot be overemphasized as its relevance finds expression in our day to day activities as humans ranging from the alarm clocks that greet us in the morning, the alarm bells that alerts us of a visitor, the automobiles that convey us to our places of work and the stair lifts that finally lands us on the floor of our offices. Its importance is not only appreciated in the industries, roads and all other obvious infrastructure where it is easily spotted but has also been domesticated such that some equipment used in the preparation of sumptuous meals owe its allegiance to them.
Science in its approach of making researches, propounding theories and establishing laws guiding the existence of certain possibilities resident in some discoveries has ushered technology down its hallway making it easier for those benefits to be enjoyed with the aid of several automations.
Engineering, interwoven with mathematics serves its own specific purpose not just in the present as their endless possibilities are being unleashed with the fleeting of time. Judging with the ease with which communication is sustained and the swiftness that accompanies transportation, one cannot but appreciate the growing benefits of the advancement of engineering.
The pliable roads constructed, the durable bridges built, the art of navigation on the sea, the successful suspension of air craft at a great altitude wouldn’t have been possible or at the very least progressed with the passing of time if STEM (Science, Technology, Engineering and Mathematics) was relegated to the background and investment in that regard thought of as a mere waste of resources.
Having highlighted few points on the importance of STEM (Science, Technology, Engineering and Mathematics), it wouldn’t be complete if the ease in the circulation of information across the globe and the intensity of the strength of communication is not recognized owing to the fact that communication cements human relationship and information is power.
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