The Calculator Encyclopedia Calculates the Hydraulic Mean Depth or Hydraulic Radius of Flow in Open Channels | Fluid Mechanics

Hydraulic mean depth or hydraulic radius can be defined as the cross-sectional area of flow divided by wetted perimeter.

Wetted perimeter is the perimeter of the cross sectional area that is “wet”.
Hydraulic mean depth or hydraulic radius is a very important parameter in flow in open channels and fluid mechanics calculations.

The formula for computing hydraulic mean depth or hydraulic radius is:

R = A / P

Where:
R = Hydraulic Depth
A = Cross-sectional Area of Flow
P =  Wetted Perimeter

For Example:

Find the hydraulic mean depth or hydraulic radius of flow in an open channel where the cross-sectional area is 150 m2 and the wetted perimeter is 100 m.

From the example we can see that the cross-sectional area is 150 m2 and the wetted perimeter is 100 m.

R = 150 / 100
R = 1.5

Therefore, the hydraulic mean depth or hydraulic radius is 1.5 m.

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

Continue reading The Calculator Encyclopedia Calculates the Hydraulic Mean Depth or Hydraulic Radius of Flow in Open Channels | Fluid 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

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)

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 Warp Weight in Polymer and Textile Engineering – The Calculator Encyclopedia

According to Wikipedia,

The warp is the set of yarns or other elements stretched in place on a loom before the weft is introduced during the weaving process. It is regarded as the longitudinal set in a finished fabric with two or more sets of elements.

The term is also used for a set of yarns established before the interworking of weft yarns by some other method, such as finger manipulation, yielding wrapped or twined structures. Very simple looms use a spiral warp, in which the warp is made up of a single, very long yarn wound in a spiral pattern around a pair of sticks or beams.

Just like Weft, Warp is a basic component used in weaving to turn thread or yarn into fabric. The longitudinal warp yarns are held stationary in tension on a frame or loom. A pick is a single thread of the weft crossing the warp. Each individual warp thread in a fabric is called a warp end or end.

I am pleased to inform you that Nickzom Calculator is able to relieve you off the stress of calculating warp weight in kilogram. In a matter of seconds you can find the warp weight with the knowledge of these 3 parameters:

  • Total Ends
  • Total Length in m
  • Warp Count

As always visit the Calculator Map

Then, scroll down to the engineering section and click on Polymer & Textile

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

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