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)
αB = -ωB^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) - The 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
αB = -ωB^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 ... ...
αB = 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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14 Driveline Calculators

Angular Acceleration of Driven Shaft
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
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)
Percentage Gradeability of Vehicle
Go Gradeability of Vehicle = (10200*Torque Generated*Overall Gear Reduction)/(Rolling Radius of Loaded Driving Tire*Gross Vehicle Weight)-Percentage Rolling Resistance
Axial Force of Multiplate Clutch using Uniform Wear Theory
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
Aerodynamic Resistance
Go Aerodynamic Resistance of Vehicle = 0.5*Density of Air*Frontal Area of Vehicle*Cruising Speed of Vehicle^2*Coefficient of Drag Exerted by Flow
Drawbar Pull
Go Drawbar Pull = (Torque Generated*Overall Gear Reduction*1000)/Rolling Radius of Loaded Driving Tire-Rolling Resistance at Wheel
Power Required to Propel Vehicle
Go Power required to Propel a Vehicle = (Total Resistance on Vehicle*Speed of Vehicle in Meter per Second)/Transmission Efficiency of Vehicle
Weight on Rear Axle
Go Weight on Rear Axle = (Total Weight being Distributed of Vehicle*CG Distance from Front Axle)/Wheelbase of Vehicle
Total Resistance on Vehicle
Go Total Resistance on Vehicle = Aerodynamic Resistance of Vehicle+Rolling Resistance at Wheel+Gradient Resistance
Effective Gear Ratio
Go Effective Gear Ratio = Old Tire Diameter/New Tire Diameter*Gear Ratio of Transmission
Weight on Front Axle
Go Weight on Front Axle = Total Weight being Distributed of Vehicle-Weight on Rear Axle
Engine Torque
Go Engine Torque = (9.55*Power required to Propel a Vehicle)/Engine Speed in rpm
Gear Step
Go Gear Step = Preceding Lower Gear Ratio Number/Gear Ratio Number
Final Drive Ratio
Go Final Drive Ratio = Rear Gear Ratio*Overdrive Ratio

Angular Acceleration of Driven Shaft Formula

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)
αB = -ωB^2*cos(α)*sin(α)^2*sin(2*Φ)/((1-cos(Φ)^2*sin(α)^2)^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 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 αB 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 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 αB = -ωB^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, The 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 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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