Radius of Curvilinear Motion given Angular velocity Calculator

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Curvilinear Motion

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✖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%
✖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 of Curvilinear Motion given Angular velocity [r]

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Formula

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Radius of Curvilinear Motion given Angular velocity

Formula

`"r" = "v"_{"cm"}/"ω"`

Example

`"0.694444m"="25m/s"/"36rad/s"`

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Radius of Curvilinear Motion given Angular velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Radius - (Measured in Meter) - Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.
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.

STEP 1: Convert Input(s) to Base Unit

Velocity of Curvilinear Motion: 25 Meter per Second --> 25 Meter per Second No Conversion Required
Angular Velocity: 36 Radian per Second --> 36 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = v_cm/ω --> 25/36

Evaluating ... ...

r = 0.694444444444444

STEP 3: Convert Result to Output's Unit

0.694444444444444 Meter --> No Conversion Required

FINAL ANSWER

0.694444444444444 ≈ 0.694444 Meter <-- Radius

(Calculation completed in 00.020 seconds)

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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

Radius of Curvilinear Motion given Angular velocity Formula

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

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 Radius of Curvilinear Motion given Angular velocity?

Radius of Curvilinear Motion given Angular velocity calculator uses Radius = Velocity of Curvilinear Motion/Angular Velocity to calculate the Radius, The Radius of Curvilinear Motion given Angular velocity formula is defined as the ratio of velocity of curvilinear motion and angular velocity. Radius is denoted by r symbol.

How to calculate Radius of Curvilinear Motion given Angular velocity using this online calculator? To use this online calculator for Radius of Curvilinear Motion given Angular velocity, enter Velocity of Curvilinear Motion (v_cm) & Angular Velocity (ω) and hit the calculate button. Here is how the Radius of Curvilinear Motion given Angular velocity calculation can be explained with given input values -> 15.625 = 25/36.

FAQ

What is Radius of Curvilinear Motion given Angular velocity?

The Radius of Curvilinear Motion given Angular velocity formula is defined as the ratio of velocity of curvilinear motion and angular velocity and is represented as r = v_cm/ω or Radius = Velocity of Curvilinear Motion/Angular Velocity. 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 & 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.

How to calculate Radius of Curvilinear Motion given Angular velocity?

The Radius of Curvilinear Motion given Angular velocity formula is defined as the ratio of velocity of curvilinear motion and angular velocity is calculated using Radius = Velocity of Curvilinear Motion/Angular Velocity. To calculate Radius of Curvilinear Motion given Angular velocity, you need Velocity of Curvilinear Motion (v_cm) & Angular Velocity (ω). With our tool, you need to enter the respective value for Velocity of Curvilinear Motion & Angular Velocity 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 Radius?

In this formula, Radius uses Velocity of Curvilinear Motion & Angular Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius = Acceleration for Curvilinear Motion/Angular Acceleration

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