How to Calculate the Mechanical Advantage of a Machine (Physics)

Mechanical advantage is a very important parameter of machines and is considered a lever problem.

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.

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How to Solve and Calculate the Mean or Average of Discrete and Continuous Numbers

Mean is a measure of central tendency and is considered to be a very important parameter of statistics. Mean or Average is the sum of the data sets or numbers or values divided by the number of numbers or data sets or values.

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 times, the number 2 occurred 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.

Continue reading How to Solve and Calculate the Mean or Average of Discrete and Continuous Numbers

How to Convert From One Unit of Force to Another Unit of Force

Nickzom Calculator is a calculator encyclopedia tool that converts units of force. There is a large number of force units and the units that can be converted using Nickzom Calculator are:

  • Newtons
  • Kilonewtons
  • Gram-Forces
  • Kilogram-Forces
  • Ton-Forces (metric)
  • Exanewtons
  • Petanewtons
  • Teranewtons
  • Giganewtons
  • Meganewtons
  • Hectonewtons
  • Dekanewtons
  • Decinewtons
  • Centinewtons
  • Millinewtons
  • Micronewtons
  • Nanonewtons
  • Piconewtons
  • Femtonewtons
  • Attonewtons
  • Dynes
  • Joules/meter
  • Joules/centimeter
  • Ton-Forces (Short)
  • Ton-Forces (Long)
  • Kip-Forces
  • Kilopound-Forces
  • Pound-Forces
  • Ounces-Forces
  • Poiundals
  • Pound Feet/Sq. Second
  • Ponds
  • Kiloponds

Let’s convert 20 Ton-Forces (metric) to Pound-Forces.

Continue reading How to Convert From One Unit of Force to Another Unit of Force

How To Get Answers and Steps For a Function of a Function Differentiation (Calculus) Problem Using The Calculator Encyclopedia

According to Wikipedia,

In mathematicsdifferential 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:

    • (expression)n
    • k(expression)n
    • sin(expression)
    • ksin(expression)
    • cos(expression)
    • kcos(expression)
    • tan(expression)
    • ktan(expression)
    • sinh(expression)
    • ksinh(expression)
    • cosh(expression)
    • kcosh(expression)
    • cot(expression)
    • kcot(expression)
    • cosec(expression)
    • kcosec(expression)
    • In(expression)
    • kIn(expression)
    • loga(expression)
    • kloga(expression)
    • e(expression)
    • ke(expression)
    • a(expression)
    • ka(expression)

k, a and in the formats above represents constants.

The expression represents a polynomial, quadratic or linear mathematical statement, such as:

  • 3x + 5
  • 4x2 + 2x + 1
  • 2x3 + 7x + 12
  • 5x4 + 3x3 + 4x2 + 12x + 15

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).

      • (2x2 + 3x + 5)7
      • 4(2x + 1)6
      • sin(2x2 + 3x + 5)
      • 2sin(3x + 5)
      • cos(3x + 5)
      • 2cos(3x + 5)
      • tan(2x3 + 3x2 + 4x + 5)
      • 3tan(7x + 6)
      • sinh(2x4 + 12)
      • 2sinh(3x + 10)
      • cosh(x5 + 2x3 + 11)
      • 3cosh(2x3 + 12x + 17)
      • cot(2x + 1)
      • 3cot(3x + 5)
      • cosec(x + 12)
      • 7cosec(2x + 7)
      • In(x3 + 2x + 7)
      • 2In(2x2 + 3x + 12)
      • log3(3x + 7)
      • 2log2(x2 + 4x + 8)
      • e(3x + 5)
      • 2e(2x + 3)
      • 2(7x + 2)
      • 7 . 2(6x + 7)

Continue reading How To Get Answers and Steps For a Function of a Function Differentiation (Calculus) Problem Using The Calculator Encyclopedia

The Calculator Encyclopedia Converts Units of Illumination in Light Conversions

According to Wikipedia,

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 daylightDaylighting (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:

  • Lux
  • Meter-Candle
  • Centimeter-Candle
  • Foot-Candle
  • Flame
  • Phot
  • Nox
  • Candela Steradian/sq. m
  • Lumen/sq. m
  • Lumen/sq. cm
  • Lumen/sq. ft
  • Watt/sq. cm (at 555nm)

To commence this conversion, proceed to the Calculator Map, click on Light Switches under Switches (Unit Conversion).

Continue reading The Calculator Encyclopedia Converts Units of Illumination in Light Conversions

Nickzom Calculator Calculates Permutation and Combination With Steps – The Calculator Encyclopedia

According to Wikipedia,

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

Continue reading Nickzom Calculator Calculates Permutation and Combination With Steps – The Calculator Encyclopedia

Nickzom Calculator Calculates Range and Maximum Range of a Projectile in Physics

To get the answer for the range of a projectile, there are three essential parameters to be given which are:

  • Acceleration due to Gravity
  • Initial Velocity
  • Angle of Projection

Where as to get the answer for maximum range of a projectile requires two parameters to be given which are:

  • Acceleration due to Gravity
  • Initial Velocity

Let’s first, proceed to the home page of the app. Select Physics and click on Open Section

Then proceed to click on Projectile

Continue reading Nickzom Calculator Calculates Range and Maximum Range of a Projectile in Physics

Nickzom Calculator Calculates Maximum Height of a Projectile

According to SoftSchools.com,

A projectile is an object that is given an initial velocity, and is acted on by gravity. The maximum height of the object is the highest vertical position along its trajectory. The maximum height of the projectile depends on the initial velocity v0, the launch angle θ, and the acceleration due to gravity. The unit of maximum height is meters (m).

Nickzom Calculator calculates the maximum height of a projectile given the accurate values for the required parameters. The required parameters to get the answer to maximum height are:

  • Acceleration due to Gravity
  • Initial Velocity
  • Angle of Projection

Let’s get started, first and foremost, proceed to the home page of the app, select Physics and click on Open Section.

Continue reading Nickzom Calculator Calculates Maximum Height of a Projectile

Nickzom Calculator Calculates the Total Time of Flight and Time of Flight at Maximum Height in Projectile (Physics)

I am not hear to start explaining to you the meaning and application of time of flight. I believe you are here to know how the calculator encyclopedia calculates these parameters.

Nickzom Calculator requires three parameters to get the answer for time of flight and these parameters are:

  • Acceleration due to Gravity
  • Initial Velocity
  • Angle of Projection

Let’s first get the workings and answer for time of flight at maximum height where the acceleration due to gravity is 10 m/s2, initial velocity is 20 m/s and angle of projection is 30°.

First and Foremost, Select Physics from the home page and click on Open Section

In the Physics section, Click on Projectile

Continue reading Nickzom Calculator Calculates the Total Time of Flight and Time of Flight at Maximum Height in Projectile (Physics)

The Calculator Encyclopedia Performs Calculations on Binomial Series

According to Wikipedia,

In mathematics, the binomial series is the Maclaurin series for the function given by , where is an arbitrary complex number. Explicitly, and the binomial series is the power series on the right hand side of (1), expressed in terms of the (generalized) binomial coefficients.

Nickzom Calculator performs calculations on Binomial Series for both addition and subtraction.

Continue reading The Calculator Encyclopedia Performs Calculations on Binomial Series