Velocity Ratio of Hooke's Joint Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
V = cos(α)/(1-(cos(θ))^2*(sin(α))^2)
This formula uses 2 Functions, 3 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
Velocity Ratio - Velocity Ratio is the ratio of angular velocities of the driven shaft to the driving shaft.
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
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
V = cos(α)/(1-(cos(θ))^2*(sin(α))^2) --> cos(0.0872664625997001)/(1-(cos(1.0471975511964))^2*(sin(0.0872664625997001))^2)
Evaluating ... ...
V = 0.998090102009973
STEP 3: Convert Result to Output's Unit
0.998090102009973 --> No Conversion Required
FINAL ANSWER
0.998090102009973 0.99809 <-- Velocity Ratio
(Calculation completed in 00.004 seconds)

Credits

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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

Velocity Ratio of Hooke's Joint Formula

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)
V = 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 Velocity Ratio of Hooke's Joint?

Velocity Ratio of Hooke's Joint calculator uses 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) to calculate the Velocity Ratio, The Velocity ratio of hooke's joint formula is used to find the ratio of the angular velocities of the driven shaft to the driving shaft. Velocity Ratio is denoted by V symbol.

How to calculate Velocity Ratio of Hooke's Joint using this online calculator? To use this online calculator for Velocity Ratio of Hooke's Joint, enter Angle between Driving and Driven Shafts (α) & Angle Rotated by Driving Shaft (θ) and hit the calculate button. Here is how the Velocity Ratio of Hooke's Joint calculation can be explained with given input values -> 0.99809 = cos(0.0872664625997001)/(1-(cos(1.0471975511964))^2*(sin(0.0872664625997001))^2).

FAQ

What is Velocity Ratio of Hooke's Joint?
The Velocity ratio of hooke's joint formula is used to find the ratio of the angular velocities of the driven shaft to the driving shaft and is represented as V = cos(α)/(1-(cos(θ))^2*(sin(α))^2) or 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). 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 Velocity Ratio of Hooke's Joint?
The Velocity ratio of hooke's joint formula is used to find the ratio of the angular velocities of the driven shaft to the driving shaft is calculated using 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). To calculate Velocity Ratio of Hooke's Joint, you need Angle between Driving and Driven Shafts (α) & Angle Rotated by Driving Shaft (θ). With our tool, you need to enter the respective value for 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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