Nickzom Calculator Calculates the Centroid or Centre of Gravity of a Semicircle | Statics (Mechanics)

The image above is a semicircle with a radius of 7 cm.
To compute the centroid or centre of gravity of a semicircle, you need one essential parameter and this parameter is the radius of the semicircle.

The formula for calculating the centroid or centre of gravity of a semicircle is:

C.G.= 4r /

Where:
r = Radius of the Semicircle
π = Mathematical Constant = 3.142 (approximately)

Let’s solve an example:
Find the centroid or centre of gravity of a semicircle where the radius is 7 cm.

From the example above,
r = radius of the semicircle = 7

C.G. = 4(7) /
C.G. = 28 / 9.4247
C.G. = 2.97

Therefore, the centroid or centre of gravity of the semicircle is 2.97.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the centre of gravity of a semicircle at a distance from its base measured along the vertical radius.

To get the answer and workings of the center of gravity or centroid of a semicircle using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

Continue reading Nickzom Calculator Calculates the Centroid or Centre of Gravity of a Semicircle | Statics (Mechanics)

How to Calculate the Centre of Gravity of a Circular Sector in Statics | Mechanics

It is very possible to compute the centroid or centre of gravity of a circular sector. There are two highly important parameters one needs to know to compute the centre of gravity of a circular sector. These parameters are:

  • Radius of the Sector (r)
  • Semi Vertical Angle (α)

The formula for computing the centre of gravity of a circular sector is:

C.G. = 2rsinα /

Now, let’s take an example.
Let’s find the centroid or the centre of gravity of a circular sector that has a radius of 4m and a semi vertical angle of 30°.
This implies that:

r = Radius of the Sector = 4
α = Semi Vertical Angle = 30

Entering this values into the formula we have:

C.G. = 2(4)sin30° / 3(30)
C.G. = 8 . sin30° / 90
C.G. = 8 . (0.5) / 90
C.G. = 4 / 90
C.G. = 0.0444

Therefore, the centroid or centre of gravity of the circular sector is 0.0444.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the centre of gravity of a circular sector making a semi vertical angle α at a distance from the centre of the sector measured along the central axis.

To get the answer and workings to center of gravity or centroid of a circular sector. First, you need to obtain the Nickzom Calculator – The Calculator Encyclopedia app.

Continue reading How to Calculate the Centre of Gravity of a Circular Sector in Statics | Mechanics

Nickzom Calculator Calculates the Hydraulic Depth of Flow in Open Channels | Fluid Mechanics

Hydraulic depth can be defined as the cross-sectional area of flow divided by the top width of surface.

Hydraulic depth is a very crucial parameter in calculations dealing with fluid mechanics and flow in open channels.

The formula for computing hydraulic depth is:

R = A / T

Where:
R = Hydraulic Depth
A = Cross-sectional Area of Flow
T =  Top Width or Top Surface Water Width

For Example:

Find the hydraulic depth of flow in an open channel where the cross-sectional area is 120 m2 and the top width is 12 m.

From the example we can see that the cross-sectional area is 120 m2 and the top width is 12 m.

R = 120 / 12
R = 10

Therefore, the hydraulic depth is 10 m.

Now, I would love to show you how to use Nickzom Calculator The Calculator Encyclopedia to get answers for your questions on hydraulic depth.

Continue reading Nickzom Calculator Calculates the Hydraulic Depth of Flow in Open Channels | Fluid Mechanics

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 Importance of STEM (Science, Technological, Engineering and Mathematics) in Nigeria

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.

Continue reading The Importance of STEM (Science, Technological, Engineering and Mathematics) in Nigeria

How to Get Answers of a 2 By 2 Matrix Linear Programming Maximization Problem Without Artificial Variables Using Nickzom Calculator

According to Google Dictionary,

Linear Programming is a mathematical technique for maximizing or minimizing a linear function of several variables, such as output or cost.

According to Wikipedia,

Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization).

You might be wondering how possible is it for there to be a calculator that can really solve linear programming calculations and show the workings at the same time. My dear, Nickzom Calculator does that for you at the very best of all capabilities.

Nickzom Calculator can not only solve a 2 by 2 matrix linear programming problem but can also solve for an m by n matrix problem. At the moment, Nickzom Calculator can handle:

  • Maximization Without Artificial Variable(s)
  • Minimization Without Artificial Variable(s)

Computations of Linear Programming with artificial variables is on the way and I do promise to inform you once it is integrated into the calculator encyclopedia via this blog.

Nickzom Calculator makes use of simplex method to compute the result for linear programming problems. There is an iterative computation of steps to obtain the final result which is when there is no further negative entry in the index/third/P row of which a basic solution emerges for x and y variables with all the other variables equal to 0. At this point, the optimal solution and optimal value is given.

Continue reading How to Get Answers of a 2 By 2 Matrix Linear Programming Maximization Problem Without Artificial Variables Using Nickzom Calculator

Nickzom Calculator Calculates the Logarithmic Mean Radius in Heat Transfer of Chemical Engineering

Heat Transfer is one of the major courses every Chemical Engineering student or professional faces at one point in life. There are various sections of heat transfer but for the purpose of this post. Our primary focus is to show you how Nickzom Calculator solves Logarithmic Mean Radius.

To get the answer for Logarithmic Mean Radius in Heat Transfer is very simple and one requires only two parameters which are:

  • Outside Radius of the Cylinder
  • Inside Radius of the Cylinder

Without Further Ado, let me proceed, click on the Calculator Map on Nickzom Calculator+ (Professional Version) – The Calculator Encyclopedia

Clicking on Chemical under Engineering, displays 3 major topics that can be handled by Nickzom Calculator in Chemical Engineering which are:

  • Fluid Mechanics
  • Heat Transfer
  • Mass Transfer

Continue reading Nickzom Calculator Calculates the Logarithmic Mean Radius in Heat Transfer of Chemical Engineering

The Calculator Encyclopedia Calculates the Position of Turning Point for a Vehicle (Vehicle Dynamics)

Calculating the position of turning point for a vehicle must put into consideration the x co-ordinate and y co-ordinate positions of turning point.

There are various parameters you need to be able to calculate these positions. I would start to with how Nickzom Calculator calculates the position of turning point (x co-ordinate).

You are required to have 4 parameters to get the answer for the position and these parameters are:

  • Steer Angle of the Rear Outer Wheel
  • Rear Track
  • Distance of Rear Wheel from Mass Center
  • Steer Angle of Rear Inner Wheel

To access this functionalities in Nickzom Calculator, you need to purchase our professional version – Nickzom Calculator+ (The Calculator Encyclopedia). You can access this software 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

With that done, Open up the app, select Engineering and click on Open Section.

Click on Mechanical

Then, click on Vehicle Dynamics

Continue reading The Calculator Encyclopedia Calculates the Position of Turning Point for a Vehicle (Vehicle Dynamics)

Nickzom Calculator Calculates Weft Weight in Polymer and Textile Engineering – The Calculator Encyclopedia

Weft is a basic component used in weaving to turn yard or loom into fabric.  The transverse weft is drawn through and inserted over and under the warp. A single thread crossing the warp is called a pick.

According to Wikipedia,

Because the weft does not have to be stretched on a loom the way the warp is it can generally be less strong. It is usually made of spun fibre, originally woolflax and cotton, today often of synthetic fiber such as nylon or rayon.

The weft is threaded through the warp using a “shuttle“, air jets or “rapier grippers”. Hand looms were the original weaver’s tool, with the shuttle being threaded through alternately raised warps by hand.

Nickzom Calculator calculates a bunch of calculations in Polymer and Textile Engineering and shows the steps (workings), formulas and answers. Today, I would showing you with pictures how The Calculator Encyclopedia can calculate the Weft Weight in Kilograms (Kg).

First, you need to have access to the professional version of Nickzom Calculator (Nickzom Calculator+) 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

Select Engineering and Click on Open Section

A list of Engineering Majors of which its calculations can be handled by the calculator encyclopedia is listed out in alphabetical order. Scroll down and click on Polymer & Textile.

The Polymer and Textile Engineering Page has over 200 calculative parameters. Scroll down to Weft Weight (Kg) and click on it.

Continue reading Nickzom Calculator Calculates Weft Weight in Polymer and Textile Engineering – The Calculator Encyclopedia

The Calculator Encyclopedia Calculates the Length of An Open Belt Drive in the Transmission of Power by Belts and Ropes

Calculating the length of an open belt drive is a common thing in Mechanical Engineering. It was of those crucial parameters in the determining the transmission of power by belts and ropes.

In our world today, there are a lot of mechanical engines making use of belts and I believe as a Mechanical Engineer having access to Nickzom Calculator+ is one of the best tools to make lifer easier, faster and simpler.

Nickzom Calculator+ (Professional Version) – The Calculator Encyclopedia can solve over 10,000 calculations for a day to day Mechanical Engineer and today I would show you the steps on how to get the answer for the length of an open belt drive using Nickzom Calculator.

First and Foremost, you need to have access to Nickzom Calculator+ via any of these means:

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

You must also know that to get the length of an open belt drive there are 3 major parameters you need which are:

  • Distance between the Centres of the Larger and Smaller Pullerys
  • Radius of the Larger Pulley
  • Radius of the Smaller Pulley

Once, you have access to the professional version of Nickzom Calculator via any means, move over to the calculator map, then scroll to the Engineering section and click on Mechanical.

On clicking on Mechanical, you see a bunch of major topics that can be solved by Nickzom Calculator. Click on Transmission of Power by Belts and Ropes.

Continue reading The Calculator Encyclopedia Calculates the Length of An Open Belt Drive in the Transmission of Power by Belts and Ropes