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Angular Velocity of Driving Shaft Calculator

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✖Angular Velocity of Driven Shaft is the angular displacement of the driven shaft in a given unit of time.ⓘ Angular Velocity of Driven Shaft [ω_B]			+10% -10%
✖Angle Rotated By Driving Shaft is the angular displacement of the the driving shaft.ⓘ Angle Rotated By Driving Shaft [θ]			+10% -10%
✖Angle Between Driving And Driven Shafts is the inclination of the driven shaft with respect to the driving shaft.ⓘ Angle Between Driving And Driven Shafts [α]			+10% -10%

✖Angular Velocity of Driving Shaft is the angular displacement of the driving shaft in a given unit of time.ⓘ Angular Velocity of Driving Shaft [ω_A]

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Angular Velocity of Driving Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft*(1-(cos(Angle Rotated By Driving Shaft)^2)*(sin(Angle Between Driving And Driven Shafts))^2)/cos(Angle Between Driving And Driven Shafts)
ω_A = ω_B*(1-(cos(θ)^2)*(sin(α))^2)/cos(α)
This formula uses 2 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Angular Velocity of Driving Shaft - (Measured in Radian per Second) - Angular Velocity of Driving Shaft is the angular displacement of the driving shaft in a given unit of time.
Angular Velocity of Driven Shaft - (Measured in Radian per Second) - Angular Velocity of Driven Shaft is the angular displacement of the driven shaft in a given unit of time.
Angle Rotated By Driving Shaft - (Measured in Radian) - Angle Rotated By Driving Shaft is the angular displacement of the the driving shaft.
Angle Between Driving And Driven Shafts - (Measured in Radian) - Angle Between Driving And Driven Shafts is the inclination of the driven shaft with respect to the driving shaft.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity of Driven Shaft: 62 Radian per Second --> 62 Radian per Second No Conversion Required
Angle Rotated By Driving Shaft: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Angle Between Driving And Driven Shafts: 5 Degree --> 0.0872664625997001 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_A = ω_B*(1-(cos(θ)^2)*(sin(α))^2)/cos(α) --> 62*(1-(cos(1.0471975511964)^2)*(sin(0.0872664625997001))^2)/cos(0.0872664625997001)

Evaluating ... ...

ω_A = 62.1186402661876

STEP 3: Convert Result to Output's Unit

62.1186402661876 Radian per Second --> No Conversion Required

FINAL ANSWER

62.1186402661876 ≈ 62.11864 Radian per Second <-- Angular Velocity of Driving Shaft

(Calculation completed in 00.004 seconds)

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

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Angular Acceleration of Driven Shaft

LaTeX Go Angular Acceleration of Driven Shaft = -Angular Velocity of Driven Shaft^2*cos(Angle Between Driving And Driven Shafts)*sin(Angle Between Driving And Driven Shafts)^2*sin(2*Angle Rotated By Driven Shaft)/((1-cos(Angle Rotated By Driven Shaft)^2*sin(Angle Between Driving And Driven Shafts)^2)^2)

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LaTeX Go Velocity Ratio = cos(Angle Between Driving And Driven Shafts)/(1-cos(Angle Rotated By Driving Shaft)^2*sin(Angle Between Driving And Driven Shafts)^2)

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Angular Velocity of Driving Shaft Formula

LaTeX Go

What is Hooke's Joint?

A universal joint is a particular type of connection between two shafts. whose axes are inclined to each other. The most simple type of universal joint is the Hooke's joint which is most widely used because of the fact that it is simple and compact in construction and reasonably efficient at small angles of propeller shaft movement up and down, say up to 18 degrees.

How to Calculate Angular Velocity of Driving Shaft?

Angular Velocity of Driving Shaft calculator uses Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft*(1-(cos(Angle Rotated By Driving Shaft)^2)*(sin(Angle Between Driving And Driven Shafts))^2)/cos(Angle Between Driving And Driven Shafts) to calculate the Angular Velocity of Driving Shaft, The Angular velocity of driving shaft formula is used to find the rate of angular displacement of the driving shaft. Angular Velocity of Driving Shaft is denoted by ω_A symbol.

How to calculate Angular Velocity of Driving Shaft using this online calculator? To use this online calculator for Angular Velocity of Driving Shaft, enter Angular Velocity of Driven Shaft (ω_B), Angle Rotated By Driving Shaft (θ) & Angle Between Driving And Driven Shafts (α) and hit the calculate button. Here is how the Angular Velocity of Driving Shaft calculation can be explained with given input values -> 62.11864 = 62*(1-(cos(1.0471975511964)^2)*(sin(0.0872664625997001))^2)/cos(0.0872664625997001).

FAQ

What is Angular Velocity of Driving Shaft?

The Angular velocity of driving shaft formula is used to find the rate of angular displacement of the driving shaft and is represented as ω_A = ω_B*(1-(cos(θ)^2)*(sin(α))^2)/cos(α) or Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft*(1-(cos(Angle Rotated By Driving Shaft)^2)*(sin(Angle Between Driving And Driven Shafts))^2)/cos(Angle Between Driving And Driven Shafts). Angular Velocity of Driven Shaft is the angular displacement of the driven shaft in a given unit of time, Angle Rotated By Driving Shaft is the angular displacement of the the driving shaft & Angle Between Driving And Driven Shafts is the inclination of the driven shaft with respect to the driving shaft.

How to calculate Angular Velocity of Driving Shaft?

The Angular velocity of driving shaft formula is used to find the rate of angular displacement of the driving shaft is calculated using Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft*(1-(cos(Angle Rotated By Driving Shaft)^2)*(sin(Angle Between Driving And Driven Shafts))^2)/cos(Angle Between Driving And Driven Shafts). To calculate Angular Velocity of Driving Shaft, you need Angular Velocity of Driven Shaft (ω_B), Angle Rotated By Driving Shaft (θ) & Angle Between Driving And Driven Shafts (α). With our tool, you need to enter the respective value for Angular Velocity of Driven Shaft, Angle Rotated By Driving Shaft & Angle Between Driving And Driven Shafts and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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