Angular Velocity given Linear Velocity Calculator

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Types of Motion

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Properties of Planes and Solids

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Curvilinear Motion

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Rotary Motion

✖Velocity of Curvilinear Motion is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity of Curvilinear Motion [v_cm]			+10% -10%
✖Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.ⓘ Radius [r]			+10% -10%

✖The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity given Linear Velocity [ω]

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Formula

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Angular Velocity given Linear Velocity

Formula

`"ω" = "v"_{"cm"}/"r"`

Example

`"36.23188rad/s"="25m/s"/"0.69m"`

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Angular Velocity given Linear Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = Velocity of Curvilinear Motion/Radius
ω = v_cm/r
This formula uses 3 Variables

Variables Used

Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Velocity of Curvilinear Motion - (Measured in Meter per Second) - Velocity of Curvilinear Motion is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Radius - (Measured in Meter) - Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

STEP 1: Convert Input(s) to Base Unit

Velocity of Curvilinear Motion: 25 Meter per Second --> 25 Meter per Second No Conversion Required
Radius: 0.69 Meter --> 0.69 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = v_cm/r --> 25/0.69

Evaluating ... ...

ω = 36.231884057971

STEP 3: Convert Result to Output's Unit

36.231884057971 Radian per Second --> No Conversion Required

FINAL ANSWER

36.231884057971 ≈ 36.23188 Radian per Second <-- Angular Velocity

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< 11 Curvilinear Motion Calculators

Angular Displacement given Angular Acceleration

Go Angular Displacement = Initial angular velocity of object*Time Period+1/2*Angular Acceleration*Time Period^2

Initial Angular Velocity

Go Initial angular velocity of object = Final Angular Velocity of Object-Angular Acceleration*Time Period

Final Angular Velocity

Go Final Angular Velocity of Object = Initial angular velocity of object+Angular Acceleration*Time Period

Average Angular Velocity

Go Angular Velocity = (Initial angular velocity of object+Final Angular Velocity of Object)/2

Radius of Curvilinear Motion given Linear Acceleration

Go Radius = Acceleration for Curvilinear Motion/Angular Acceleration

Angular Acceleration given Linear Acceleration

Go Angular Acceleration = Acceleration for Curvilinear Motion/Radius

Linear Acceleration in Curvilinear Motion

Go Acceleration for Curvilinear Motion = Angular Acceleration*Radius

Velocity in Curvilinear Motion given Angular Velocity

Go Velocity of Curvilinear Motion = Angular Velocity*Radius

Radius of Curvilinear Motion given Angular velocity

Go Radius = Velocity of Curvilinear Motion/Angular Velocity

Angular Velocity given Linear Velocity

Go Angular Velocity = Velocity of Curvilinear Motion/Radius

Angular Velocity of Body Moving in Circle

Go Angular Velocity = Angular Displacement/Time Period

Angular Velocity given Linear Velocity Formula

Angular Velocity = Velocity of Curvilinear Motion/Radius
ω = v_cm/r

What is angular velocity?

Angular velocity is the rate of velocity at which an object or a particle is rotating around a center or a specific point in a given time period.

How to Calculate Angular Velocity given Linear Velocity?

Angular Velocity given Linear Velocity calculator uses Angular Velocity = Velocity of Curvilinear Motion/Radius to calculate the Angular Velocity, The Angular velocity given linear velocity formula is defined as the ratio of linear velocity to the radius of circle. Angular Velocity is denoted by ω symbol.

How to calculate Angular Velocity given Linear Velocity using this online calculator? To use this online calculator for Angular Velocity given Linear Velocity, enter Velocity of Curvilinear Motion (v_cm) & Radius (r) and hit the calculate button. Here is how the Angular Velocity given Linear Velocity calculation can be explained with given input values -> 36.23188 = 25/0.69.

FAQ

What is Angular Velocity given Linear Velocity?

The Angular velocity given linear velocity formula is defined as the ratio of linear velocity to the radius of circle and is represented as ω = v_cm/r or Angular Velocity = Velocity of Curvilinear Motion/Radius. Velocity of Curvilinear Motion is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time & Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

How to calculate Angular Velocity given Linear Velocity?

The Angular velocity given linear velocity formula is defined as the ratio of linear velocity to the radius of circle is calculated using Angular Velocity = Velocity of Curvilinear Motion/Radius. To calculate Angular Velocity given Linear Velocity, you need Velocity of Curvilinear Motion (v_cm) & Radius (r). With our tool, you need to enter the respective value for Velocity of Curvilinear Motion & Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Angular Velocity?

In this formula, Angular Velocity uses Velocity of Curvilinear Motion & Radius. We can use 2 other way(s) to calculate the same, which is/are as follows -

Angular Velocity = Angular Displacement/Time Period
Angular Velocity = (Initial angular velocity of object+Final Angular Velocity of Object)/2

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