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Angular Acceleration of Driven 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 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%
✖Angle Rotated By Driven Shaft is the angular displacement of the driven shaft.ⓘ Angle Rotated By Driven Shaft [Φ]			+10% -10%

✖Angular Acceleration of Driven Shaft is the rate of the angular displacement of the driven shaft.ⓘ Angular Acceleration of Driven Shaft [α_B]

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Angular Acceleration of Driven Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
α_B = -ω_B^2*cos(α)*sin(α)^2*sin(2*Φ)/((1-cos(Φ)^2*sin(α)^2)^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 Acceleration of Driven Shaft - (Measured in Radian per Square Second) - Angular Acceleration of Driven Shaft is the rate of the angular displacement of the driven shaft.
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) - Angle Between Driving And Driven Shafts is the inclination of the driven shaft with respect to the driving shaft.
Angle Rotated By Driven Shaft - (Measured in Radian) - Angle Rotated By Driven Shaft is the angular displacement of the driven 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 Driven Shaft: 15 Degree --> 0.2617993877991 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_B = -ω_B^2*cos(α)*sin(α)^2*sin(2*Φ)/((1-cos(Φ)^2*sin(α)^2)^2) --> -62^2*cos(0.0872664625997001)*sin(0.0872664625997001)^2*sin(2*0.2617993877991)/((1-cos(0.2617993877991)^2*sin(0.0872664625997001)^2)^2)

Evaluating ... ...

α_B = 14.7525629670481

STEP 3: Convert Result to Output's Unit

14.7525629670481 Radian per Square Second --> No Conversion Required

FINAL ANSWER

14.7525629670481 ≈ 14.75256 Radian per Square Second <-- Angular Acceleration of Driven Shaft

(Calculation completed in 00.020 seconds)

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Created by Peri Krishna Karthik

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

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by sanjay shiva

national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh

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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)

Velocity Ratio of Hooke's Joint

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)

Axial Force of Multiplate Clutch using Uniform Wear Theory

LaTeX Go Total Axial Load = pi*Pressure of Intensity*Inner Diameter of Friction Disc*(Outer Diameter of Friction Disc-Inner Diameter of Friction Disc)*0.5

Gear Step

LaTeX Go Gear Step = Preceding Lower Gear Ratio Number/Gear Ratio Number

Angular Acceleration of Driven 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 Acceleration of Driven Shaft?

Angular Acceleration of Driven Shaft calculator uses 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) to calculate the Angular Acceleration of Driven Shaft, The Angular acceleration of driven shaft formula is used to find the rate of the angular velocity of the driven shaft. Angular Acceleration of Driven Shaft is denoted by α_B symbol.

How to calculate Angular Acceleration of Driven Shaft using this online calculator? To use this online calculator for Angular Acceleration of Driven Shaft, enter Angular Velocity of Driven Shaft (ω_B), Angle Between Driving And Driven Shafts (α) & Angle Rotated By Driven Shaft (Φ) and hit the calculate button. Here is how the Angular Acceleration of Driven Shaft calculation can be explained with given input values -> 14.75256 = -62^2*cos(0.0872664625997001)*sin(0.0872664625997001)^2*sin(2*0.2617993877991)/((1-cos(0.2617993877991)^2*sin(0.0872664625997001)^2)^2).

FAQ

What is Angular Acceleration of Driven Shaft?

The Angular acceleration of driven shaft formula is used to find the rate of the angular velocity of the driven shaft and is represented as α_B = -ω_B^2*cos(α)*sin(α)^2*sin(2*Φ)/((1-cos(Φ)^2*sin(α)^2)^2) or 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). 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 is the inclination of the driven shaft with respect to the driving shaft & Angle Rotated By Driven Shaft is the angular displacement of the driven shaft.

How to calculate Angular Acceleration of Driven Shaft?

The Angular acceleration of driven shaft formula is used to find the rate of the angular velocity of the driven shaft is calculated using 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). To calculate Angular Acceleration of Driven Shaft, you need Angular Velocity of Driven Shaft (ω_B), Angle Between Driving And Driven Shafts (α) & Angle Rotated By Driven Shaft (Φ). 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 Driven 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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