Velocity in Curvilinear Motion given Angular Velocity Calculator

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✖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 [ω]			+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%

✖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 in Curvilinear Motion given Angular Velocity [v_cm]

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Formula

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Velocity in Curvilinear Motion given Angular Velocity

Formula

`"v"_{"cm"} = "ω"*"r"`

Example

`"24.84m/s"="36rad/s"*"0.69m"`

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Velocity in Curvilinear Motion given Angular Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Angular Velocity: 36 Radian per Second --> 36 Radian per Second No Conversion Required
Radius: 0.69 Meter --> 0.69 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_cm = ω*r --> 36*0.69

Evaluating ... ...

v_cm = 24.84

STEP 3: Convert Result to Output's Unit

24.84 Meter per Second --> No Conversion Required

FINAL ANSWER

24.84 Meter per Second <-- Velocity of Curvilinear Motion

(Calculation completed in 00.004 seconds)

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Created by Rahul

Dayanada Sagar college of Engineering (DSCE), banglore

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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

Velocity in Curvilinear Motion given Angular Velocity Formula

Velocity of Curvilinear Motion = Angular Velocity*Radius
v_cm = ω*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 Velocity in Curvilinear Motion given Angular Velocity?

Velocity in Curvilinear Motion given Angular Velocity calculator uses Velocity of Curvilinear Motion = Angular Velocity*Radius to calculate the Velocity of Curvilinear Motion, The Velocity in Curvilinear Motion given Angular Velocity formula is defined as the product of angular velocity and radius of curvilinear motion. Velocity of Curvilinear Motion is denoted by v_cm symbol.

How to calculate Velocity in Curvilinear Motion given Angular Velocity using this online calculator? To use this online calculator for Velocity in Curvilinear Motion given Angular Velocity, enter Angular Velocity (ω) & Radius (r) and hit the calculate button. Here is how the Velocity in Curvilinear Motion given Angular Velocity calculation can be explained with given input values -> 1.104 = 36*0.69.

FAQ

What is Velocity in Curvilinear Motion given Angular Velocity?

The Velocity in Curvilinear Motion given Angular Velocity formula is defined as the product of angular velocity and radius of curvilinear motion and is represented as v_cm = ω*r or Velocity of Curvilinear Motion = Angular Velocity*Radius. 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 & Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

How to calculate Velocity in Curvilinear Motion given Angular Velocity?

The Velocity in Curvilinear Motion given Angular Velocity formula is defined as the product of angular velocity and radius of curvilinear motion is calculated using Velocity of Curvilinear Motion = Angular Velocity*Radius. To calculate Velocity in Curvilinear Motion given Angular Velocity, you need Angular Velocity (ω) & Radius (r). With our tool, you need to enter the respective value for Angular Velocity & Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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