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Angular Velocity given Speed in RPM Formula

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Angular Velocity is the rate of change of angular displacement of an object with respect to time, describing its rotational motion. Check FAQs

ω = \frac{2 \cdot π \cdot N A}{60}

ω - Angular Velocity?N_A - Speed of Shaft A in RPM?π - Archimedes' constant?

Angular Velocity given Speed in RPM Example

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Here is how the Angular Velocity given Speed in RPM equation looks like with Values.

Here is how the Angular Velocity given Speed in RPM equation looks like with Units.

Here is how the Angular Velocity given Speed in RPM equation looks like.

11.205 = \frac{2 \cdot 3.1416 \cdot 107}{60}

11.205rad/s = \frac{2 \cdot 3.1416 \cdot 107}{60}

11.205 = \frac{2 \cdot 3.1416 \cdot 107}{60}

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Angular Velocity given Speed in RPM Solution

Follow our step by step solution on how to calculate Angular Velocity given Speed in RPM?

FIRST Step Consider the formula

ω = \frac{2 \cdot π \cdot N A}{60}

Next Step Substitute values of Variables

∴

ω = \frac{2 \cdot π \cdot 107}{60}

Next Step Substitute values of Constants

∴

ω = \frac{2 \cdot 3.1416 \cdot 107}{60}

Next Step Prepare to Evaluate

∴

ω = \frac{2 \cdot 3.1416 \cdot 107}{60}

Next Step Evaluate

∴

ω = 11.2050137978036rad/s

LAST Step Rounding Answer

∴

ω = 11.205rad/s

Angular Velocity given Speed in RPM Formula Elements

Variables

Constants

Angular Velocity

Angular Velocity is the rate of change of angular displacement of an object with respect to time, describing its rotational motion.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Speed of Shaft A in RPM

Speed of Shaft A in RPM is the rotational speed of Shaft A measured in revolutions per minute, describing the motion of the shaft in a mechanical system.

Symbol: N_A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Speed of Shaft A in RPM

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Kinetics category

Go Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A

α B = G \cdot α A

Go Centripetal Force or Centrifugal Force for given Angular Velocity and Radius of Curvature

Fc = Mass flight path \cdot ω^{2} \cdot R c

Go Coefficient of Restitution

e = \frac{v 1 - v 2}{u 2 - u 1}

Go Efficiency of Machine

η = \frac{P out}{P in}

How to Evaluate Angular Velocity given Speed in RPM?

Angular Velocity given Speed in RPM evaluator uses Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60 to evaluate the Angular Velocity, Angular Velocity given Speed in RPM formula is defined as a measure of the rate of change of angular displacement with respect to time, describing the rotational motion of an object, particularly useful in the context of Kinetics of Motion. Angular Velocity is denoted by ω symbol.

How to evaluate Angular Velocity given Speed in RPM using this online evaluator? To use this online evaluator for Angular Velocity given Speed in RPM, enter Speed of Shaft A in RPM (N_A) and hit the calculate button.

FAQs on Angular Velocity given Speed in RPM

What is the formula to find Angular Velocity given Speed in RPM?

The formula of Angular Velocity given Speed in RPM is expressed as Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60. Here is an example- 0.942478 = (2*pi*107)/60.

How to calculate Angular Velocity given Speed in RPM?

With Speed of Shaft A in RPM (N_A) we can find Angular Velocity given Speed in RPM using the formula - Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60. This formula also uses Archimedes' constant .

Can the Angular Velocity given Speed in RPM be negative?

No, the Angular Velocity given Speed in RPM, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Velocity given Speed in RPM?

Angular Velocity given Speed in RPM 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 given Speed in RPM can be measured.

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