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Angular Velocity of Driving Shaft Formula

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Angular Velocity of Driving Shaft is the angular displacement of the driving shaft in a given unit of time. Check FAQs

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

ω_A - Angular Velocity of Driving Shaft?ω_B - Angular Velocity of Driven Shaft?θ - Angle Rotated By Driving Shaft?α - Angle Between Driving And Driven Shafts?

Angular Velocity of Driving Shaft Example

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Here is how the Angular Velocity of Driving Shaft equation looks like with Values.

Here is how the Angular Velocity of Driving Shaft equation looks like with Units.

Here is how the Angular Velocity of Driving Shaft equation looks like.

62.1186 = 62 \cdot \frac{1 - ({\cos (60)}^{2}) \cdot {(\sin (5))}^{2}}{\cos (5)}

62.1186rad/s = 62rad/s \cdot \frac{1 - ({\cos (60°)}^{2}) \cdot {(\sin (5°))}^{2}}{\cos (5°)}

62.1186 = 62 \cdot \frac{1 - ({\cos (60)}^{2}) \cdot {(\sin (5))}^{2}}{\cos (5)}

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Angular Velocity of Driving Shaft Solution

Follow our step by step solution on how to calculate Angular Velocity of Driving Shaft?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ω A = 62rad/s \cdot \frac{1 - ({\cos (60°)}^{2}) \cdot {(\sin (5°))}^{2}}{\cos (5°)}

Next Step Convert Units

∴

ω A = 62rad/s \cdot \frac{1 - ({\cos (1.0472rad)}^{2}) \cdot {(\sin (0.0873rad))}^{2}}{\cos (0.0873rad)}

Next Step Prepare to Evaluate

∴

ω A = 62 \cdot \frac{1 - ({\cos (1.0472)}^{2}) \cdot {(\sin (0.0873))}^{2}}{\cos (0.0873)}

Next Step Evaluate

∴

ω A = 62.1186402661876rad/s

LAST Step Rounding Answer

∴

ω A = 62.1186rad/s

Angular Velocity of Driving Shaft Formula Elements

Variables

Functions

Angular Velocity of Driving Shaft

Angular Velocity of Driving Shaft is the angular displacement of the driving shaft in a given unit of time.

Symbol: ω_A

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity of Driving Shaft

Angular Velocity of Driven Shaft

Angular Velocity of Driven Shaft is the angular displacement of the driven shaft in a given unit of time.

Symbol: ω_B

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity of Driven Shaft

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

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

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 Velocity Ratio of Hooke's Joint

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

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}

How to Evaluate Angular Velocity of Driving Shaft?

Angular Velocity of Driving Shaft evaluator uses Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft*(1-(cos(Angle Rotated By Driving Shaft)^2)*(sin(Angle Between Driving And Driven Shafts))^2)/cos(Angle Between Driving And Driven Shafts) to evaluate the Angular Velocity of Driving Shaft, The Angular velocity of driving shaft formula is used to find the rate of angular displacement of the driving shaft. Angular Velocity of Driving Shaft is denoted by ω_A symbol.

How to evaluate Angular Velocity of Driving Shaft using this online evaluator? To use this online evaluator for Angular Velocity of Driving Shaft, enter Angular Velocity of Driven Shaft (ω_B), Angle Rotated By Driving Shaft (θ) & Angle Between Driving And Driven Shafts (α) and hit the calculate button.

FAQs on Angular Velocity of Driving Shaft

What is the formula to find Angular Velocity of Driving Shaft?

The formula of Angular Velocity of Driving Shaft is expressed as Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft*(1-(cos(Angle Rotated By Driving Shaft)^2)*(sin(Angle Between Driving And Driven Shafts))^2)/cos(Angle Between Driving And Driven Shafts). Here is an example- 62.11864 = 62*(1-(cos(1.0471975511964)^2)*(sin(0.0872664625997001))^2)/cos(0.0872664625997001).

How to calculate Angular Velocity of Driving Shaft?

With Angular Velocity of Driven Shaft (ω_B), Angle Rotated By Driving Shaft (θ) & Angle Between Driving And Driven Shafts (α) we can find Angular Velocity of Driving Shaft using the formula - Angular Velocity of Driving Shaft = Angular Velocity of Driven Shaft*(1-(cos(Angle Rotated By Driving Shaft)^2)*(sin(Angle Between Driving And Driven Shafts))^2)/cos(Angle Between Driving And Driven Shafts). This formula also uses Sine (sin), Cosine (cos) function(s).

Can the Angular Velocity of Driving Shaft be negative?

No, the Angular Velocity of Driving Shaft, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Velocity of Driving Shaft?

Angular Velocity of Driving Shaft is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Velocity of Driving Shaft can be measured.

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Angular Velocity of Driving Shaft Formula

Angular Velocity of Driving Shaft Example

Angular Velocity of Driving Shaft Solution

Angular Velocity of Driving Shaft Formula Elements

Other formulas in Driveline category

How to Evaluate Angular Velocity of Driving Shaft?

FAQs on Angular Velocity of Driving Shaft

Variable Name