FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Velocity Ratio of Hooke's Joint Formula

Fx Copy

LaTeX Copy

Velocity Ratio is the ratio of angular velocities of the driven shaft to the driving shaft. Check FAQs

V = \frac{\cos (α)}{1 - {\cos (θ)}^{2} \cdot {\sin (α)}^{2}}

V - Velocity Ratio?α - Angle Between Driving And Driven Shafts?θ - Angle Rotated By Driving Shaft?

Velocity Ratio of Hooke's Joint Example

With values

With units

Only example

Here is how the Velocity Ratio of Hooke's Joint equation looks like with Values.

Here is how the Velocity Ratio of Hooke's Joint equation looks like with Units.

Here is how the Velocity Ratio of Hooke's Joint equation looks like.

0.9981 = \frac{\cos (5)}{1 - {\cos (60)}^{2} \cdot {\sin (5)}^{2}}

0.9981 = \frac{\cos (5°)}{1 - {\cos (60°)}^{2} \cdot {\sin (5°)}^{2}}

0.9981 = \frac{\cos (5)}{1 - {\cos (60)}^{2} \cdot {\sin (5)}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Automobile » fx Velocity Ratio of Hooke's Joint

Velocity Ratio of Hooke's Joint Solution

Follow our step by step solution on how to calculate Velocity Ratio of Hooke's Joint?

FIRST Step Consider the formula

V = \frac{\cos (α)}{1 - {\cos (θ)}^{2} \cdot {\sin (α)}^{2}}

Next Step Substitute values of Variables

∴

V = \frac{\cos (5°)}{1 - {\cos (60°)}^{2} \cdot {\sin (5°)}^{2}}

Next Step Convert Units

∴

V = \frac{\cos (0.0873rad)}{1 - {\cos (1.0472rad)}^{2} \cdot {\sin (0.0873rad)}^{2}}

Next Step Prepare to Evaluate

∴

V = \frac{\cos (0.0873)}{1 - {\cos (1.0472)}^{2} \cdot {\sin (0.0873)}^{2}}

Next Step Evaluate

∴

V = 0.998090102009973

LAST Step Rounding Answer

∴

V = 0.9981

Velocity Ratio of Hooke's Joint Formula Elements

Variables

Functions

Velocity Ratio

Velocity Ratio is the ratio of angular velocities of the driven shaft to the driving shaft.

Symbol: V

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Velocity Ratio

Angle Between Driving And Driven Shafts

Angle Between Driving And Driven Shafts is the inclination of the driven shaft with respect to the driving shaft.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle Between Driving And Driven Shafts

Angle Rotated By Driving Shaft

Angle Rotated By Driving Shaft is the angular displacement of the the driving shaft.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle Rotated By Driving Shaft

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.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Driveline category

Go Angular Acceleration of Driven Shaft

α B = - {ω B}^{2} \cdot \cos (α) \cdot {\sin (α)}^{2} \cdot \frac{\sin (2 \cdot Φ)}{{(1 - {\cos (Φ)}^{2} \cdot {\sin (α)}^{2})}^{2}}

Go Axial Force of Multiplate Clutch using Uniform Wear Theory

F a = π \cdot p \cdot D i \cdot (D o - D i) \cdot 0.5

Go Gear Step

φ = \frac{i n-1}{i n}

Go Power Required to Propel Vehicle

P v = \frac{R t \cdot V s}{η t}

How to Evaluate Velocity Ratio of Hooke's Joint?

Velocity Ratio of Hooke's Joint evaluator 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 evaluate 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 evaluate Velocity Ratio of Hooke's Joint using this online evaluator? To use this online evaluator 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.

FAQs on Velocity Ratio of Hooke's Joint

What is the formula to find Velocity Ratio of Hooke's Joint?

The formula of Velocity Ratio of Hooke's Joint is expressed as 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). Here is an example- 0.99809 = cos(0.0872664625997001)/(1-cos(1.0471975511964)^2*sin(0.0872664625997001)^2).

How to calculate Velocity Ratio of Hooke's Joint?

With Angle Between Driving And Driven Shafts (α) & Angle Rotated By Driving Shaft (θ) we can find Velocity Ratio of Hooke's Joint using the 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). This formula also uses Sine (sin), Cosine (cos) function(s).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit