HCF calculator

Velocity Ratio of Hooke's Joint Calculator

Physics Chemistry Engineering Financial More >>

↳

Mechanical Aerospace Basic Physics Others and Extra

⤿

Automobile Design of Automobile Elements Design of Machine Elements Fluid Mechanics More >>

⤿

Driveline Front Axle and Steering Race Car Vehicle Dynamics Suspension Geometry More >>

✖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 Driving Shaft is the angular displacement of the the driving shaft.ⓘ Angle Rotated By Driving Shaft [θ]			+10% -10%

✖Velocity Ratio is the ratio of angular velocities of the driven shaft to the driving shaft.ⓘ Velocity Ratio of Hooke's Joint [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Driveline Formulas PDF PDF Image

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) - 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 00.020 seconds)

You are here -

Home » Physics » Automobile » Mechanical » Driveline » Velocity Ratio of Hooke's Joint

Credits

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

sanjay shiva has verified this Calculator and 100+ more calculators!

< Driveline Calculators

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

Velocity Ratio of Hooke's Joint Formula

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)
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). 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.

Home

FREE PDFs

🔍 Search