Angular Velocity given Tangential Velocity Calculator

✖Tangential Velocity is the linear speed of any object moving along a circular path.ⓘ Tangential Velocity [v_t]			+10% -10%
✖The Radius of Curvature is the reciprocal of the curvature.ⓘ Radius of Curvature [R_c]			+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 Tangential Velocity [ω]

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Formula

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Angular Velocity given Tangential Velocity

Formula

`"ω" = "v"_{"t"}/"R"_{"c"}`

Example

`"24rad/s"="360m/s"/"15m"`

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Angular Velocity given Tangential Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = Tangential Velocity/Radius of Curvature
ω = v_t/R_c
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.
Tangential Velocity - (Measured in Meter per Second) - Tangential Velocity is the linear speed of any object moving along a circular path.
Radius of Curvature - (Measured in Meter) - The Radius of Curvature is the reciprocal of the curvature.

STEP 1: Convert Input(s) to Base Unit

Tangential Velocity: 360 Meter per Second --> 360 Meter per Second No Conversion Required
Radius of Curvature: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = v_t/R_c --> 360/15

Evaluating ... ...

ω = 24

STEP 3: Convert Result to Output's Unit

24 Radian per Second --> No Conversion Required

FINAL ANSWER

24 Radian per Second <-- Angular Velocity

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 18 Kinematics Calculators

Angular Displacement given Initial Angular Velocity Angular Acceleration and Time

Go Angular Displacement = Initial Angular Velocity*Time Taken to Travel the Path+(Angular Acceleration*Time Taken to Travel the Path^2)/2

Displacement of Body given Initial Velocity Acceleration and Time

Go Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2

Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time

Go Angular Displacement = ((Initial Angular Velocity+Final Angular Velocity)/2)*Time Taken to Travel the Path

Angular Displacement of Body for given Initial and Final Angular Velocity

Go Angular Displacement = (Final Angular Velocity^2-Initial Angular Velocity^2)/(2*Angular Acceleration)

Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time

Go Final Angular Velocity = Initial Angular Velocity+Angular Acceleration*Time Taken to Travel the Path

Displacement of Body given Initial Velocity and Final Velocity

Go Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path

Angle Traced in Nth Second (Accelerated Rotatory Motion)

Go Angular Displacement = Initial Angular Velocity+((2*Nth Second-1)/2)*Angular Acceleration

Displacement of Body given Initial Velocity Final Velocity and Acceleration

Go Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body)

Final Velocity of Body

Go Final Velocity = Initial Velocity+Acceleration of Body*Time Taken to Travel the Path

Final Velocity of Freely Falling Body from Height when it Reaches Ground

Go Velocity on Reaching Ground = sqrt(2*Acceleration due to Gravity*Height of Crack)

Distance Travelled in Nth Second (Accelerated Translatory Motion)

Go Distance Traveled = Initial Velocity+((2*Nth Second-1)/2)*Acceleration of Body

Resultant Acceleration

Go Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2)

Angle of Inclination of Resultant Acceleration with Tangential Acceleration

Go Inclination Angle = atan(Normal Acceleration/Tangential Acceleration)

Tangential Acceleration

Go Tangential Acceleration = Angular Acceleration*Radius of Curvature

Centripetal or Radial Acceleration

Go Angular Acceleration = Angular Velocity^2*Radius of Curvature

Normal Acceleration

Go Normal Acceleration = Angular Velocity^2*Radius of Curvature

Angular Velocity given Tangential Velocity

Go Angular Velocity = Tangential Velocity/Radius of Curvature

Average Velocity of Body given Initial and Final Velocity

Go Average Velocity = (Initial Velocity+Final Velocity)/2

Angular Velocity given Tangential Velocity Formula

Angular Velocity = Tangential Velocity/Radius of Curvature
ω = v_t/R_c

What is the difference between angular velocity and tangential velocity?

The difference between angular velocity and tangential velocity is that “The angular displacement covered by a body in unit time is called angular velocity and tangential velocity is the velocity, which is tangent to the circular path.”

How to Calculate Angular Velocity given Tangential Velocity?

Angular Velocity given Tangential Velocity calculator uses Angular Velocity = Tangential Velocity/Radius of Curvature to calculate the Angular Velocity, Angular velocity given Tangential Velocity is related to tangential velocity as the tangential velocity is measured at any point tangent to a rotating wheel. Angular Velocity is denoted by ω symbol.

How to calculate Angular Velocity given Tangential Velocity using this online calculator? To use this online calculator for Angular Velocity given Tangential Velocity, enter Tangential Velocity (v_t) & Radius of Curvature (R_c) and hit the calculate button. Here is how the Angular Velocity given Tangential Velocity calculation can be explained with given input values -> 24 = 360/15.

FAQ

What is Angular Velocity given Tangential Velocity?

Angular velocity given Tangential Velocity is related to tangential velocity as the tangential velocity is measured at any point tangent to a rotating wheel and is represented as ω = v_t/R_c or Angular Velocity = Tangential Velocity/Radius of Curvature. Tangential Velocity is the linear speed of any object moving along a circular path & The Radius of Curvature is the reciprocal of the curvature.

How to calculate Angular Velocity given Tangential Velocity?

Angular velocity given Tangential Velocity is related to tangential velocity as the tangential velocity is measured at any point tangent to a rotating wheel is calculated using Angular Velocity = Tangential Velocity/Radius of Curvature. To calculate Angular Velocity given Tangential Velocity, you need Tangential Velocity (v_t) & Radius of Curvature (R_c). With our tool, you need to enter the respective value for Tangential Velocity & Radius of Curvature 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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