Angular Velocity of Driving Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft/(cos(Angle between Driving and Driven Shafts)/(1-(cos(Angle Rotated by Driving Shaft))^2*(sin(Angle between Driving and Driven Shafts))^2))
ωA = ωB/(cos(α)/(1-(cos(θ))^2*(sin(α))^2))
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 between Driving and Driven Shafts - (Measured in Radian) - The Angle between Driving and Driven Shafts is the inclination of the driven shaft with respect to the driving shaft.
Angle Rotated by Driving Shaft - (Measured in Radian) - Angle Rotated by Driving Shaft is the angular displacement of the 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 between Driving and Driven Shafts: 5 Degree --> 0.0872664625997001 Radian (Check conversion here)
Angle Rotated by Driving Shaft: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωA = ωB/(cos(α)/(1-(cos(θ))^2*(sin(α))^2)) --> 62/(cos(0.0872664625997001)/(1-(cos(1.0471975511964))^2*(sin(0.0872664625997001))^2))
Evaluating ... ...
ωA = 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 00.020 seconds)

Credits

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3 Driveline Angular Velocity Calculators

Angular Velocity of Driving Shaft given Angular Acceleration of Driven Shaft
Go Angular Velocity of Driven Shaft = sqrt((Angular Acceleration of Driven Shaft*(1-cos(Angle Rotated by Driven Shaft)^2*sin(Angle between Driving and Driven Shafts)^2)^2)/(cos(Angle between Driving and Driven Shafts)*sin(Angle between Driving and Driven Shafts)^2*sin(2*Angle Rotated by Driven Shaft)))
Angular Velocity of Driving Shaft
Go Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft/(cos(Angle between Driving and Driven Shafts)/(1-(cos(Angle Rotated by Driving Shaft))^2*(sin(Angle between Driving and Driven Shafts))^2))
Angular Velocity of Driven Shaft
Go Angular Velocity of Driven Shaft = (cos(Angle between Driving and Driven Shafts)/(1-(cos(Angle Rotated by Driving Shaft))^2*(sin(Angle between Driving and Driven Shafts))^2))*Angular Velocity of Driving Shaft

Angular Velocity of Driving Shaft Formula

Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft/(cos(Angle between Driving and Driven Shafts)/(1-(cos(Angle Rotated by Driving Shaft))^2*(sin(Angle between Driving and Driven Shafts))^2))
ωA = ωB/(cos(α)/(1-(cos(θ))^2*(sin(α))^2))

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/(cos(Angle between Driving and Driven Shafts)/(1-(cos(Angle Rotated by Driving Shaft))^2*(sin(Angle between Driving and Driven Shafts))^2)) 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 ωA 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 B), Angle between Driving and Driven Shafts (α) & Angle Rotated by Driving Shaft (θ) 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/(cos(0.0872664625997001)/(1-(cos(1.0471975511964))^2*(sin(0.0872664625997001))^2)).

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 ωA = ωB/(cos(α)/(1-(cos(θ))^2*(sin(α))^2)) or Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft/(cos(Angle between Driving and Driven Shafts)/(1-(cos(Angle Rotated by Driving Shaft))^2*(sin(Angle between Driving and Driven Shafts))^2)). Angular Velocity of Driven Shaft is the angular displacement of the driven shaft in a given unit of time, The Angle between Driving and Driven Shafts is the inclination of the driven shaft with respect to the driving shaft & Angle Rotated by Driving Shaft is the angular displacement of the 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/(cos(Angle between Driving and Driven Shafts)/(1-(cos(Angle Rotated by Driving Shaft))^2*(sin(Angle between Driving and Driven Shafts))^2)). To calculate Angular Velocity of Driving Shaft, you need Angular Velocity of Driven Shaft B), Angle between Driving and Driven Shafts (α) & Angle Rotated by Driving Shaft (θ). With our tool, you need to enter the respective value for Angular Velocity of Driven Shaft, Angle between Driving and Driven Shafts & Angle Rotated by Driving Shaft 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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