Kinetic Energy given Inertia and Angular Velocity Calculator

✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%
✖Angular Velocity Spectroscopy 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 Spectroscopy [ω]			+10% -10%

✖Kinetic Energy given Inertia and Angular Velocity as the work needed to accelerate a body of a given mass from rest to its stated velocity.ⓘ Kinetic Energy given Inertia and Angular Velocity [KE2]

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Kinetic Energy given Inertia and Angular Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2
KE2 = I*(ω^2)/2
This formula uses 3 Variables

Variables Used

Kinetic Energy given Inertia and Angular Velocity - (Measured in Joule) - Kinetic Energy given Inertia and Angular Velocity as the work needed to accelerate a body of a given mass from rest to its stated velocity.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Angular Velocity Spectroscopy - (Measured in Radian per Second) - Angular Velocity Spectroscopy 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

Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Angular Velocity Spectroscopy: 20 Radian per Second --> 20 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

KE2 = I*(ω^2)/2 --> 1.125*(20^2)/2

Evaluating ... ...

KE2 = 225

STEP 3: Convert Result to Output's Unit

225 Joule --> No Conversion Required

FINAL ANSWER

225 Joule <-- Kinetic Energy given Inertia and Angular Velocity

(Calculation completed in 00.004 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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< Kinetic Energy for System Calculators

Kinetic Energy given Angular Velocity

LaTeX Go Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2

Kinetic Energy of System

LaTeX Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2

Kinetic Energy given Inertia and Angular Velocity

LaTeX Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2

Kinetic Energy given Angular Momentum

LaTeX Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

< Kinetic Energy of System Calculators

Kinetic Energy given Angular Velocity

LaTeX Go Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2

Kinetic Energy of System

LaTeX Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2

Kinetic Energy given Inertia and Angular Velocity

LaTeX Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2

Kinetic Energy given Angular Momentum

LaTeX Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

Kinetic Energy given Inertia and Angular Velocity Formula

LaTeX Go

Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2
KE2 = I*(ω^2)/2

How to get Kinetic energy in terms of inertia and angular velocity?

Rotational kinetic energy is directly proportional to the moment of inertia and the square of the magnitude of the angular velocity. Kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation (0.5*I* ω^2).

How to Calculate Kinetic Energy given Inertia and Angular Velocity?

Kinetic Energy given Inertia and Angular Velocity calculator uses Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2 to calculate the Kinetic Energy given Inertia and Angular Velocity, The Kinetic Energy given Inertia and Angular Velocity formula is defined as the kinetic energy due to the rotation of an object and is part of its total kinetic energy. Rotational kinetic energy is directly proportional to the rotational inertia and the square of the magnitude of the angular velocity. Kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation. Kinetic Energy given Inertia and Angular Velocity is denoted by KE2 symbol.

How to calculate Kinetic Energy given Inertia and Angular Velocity using this online calculator? To use this online calculator for Kinetic Energy given Inertia and Angular Velocity, enter Moment of Inertia (I) & Angular Velocity Spectroscopy (ω) and hit the calculate button. Here is how the Kinetic Energy given Inertia and Angular Velocity calculation can be explained with given input values -> 225 = 1.125*(20^2)/2.

FAQ

What is Kinetic Energy given Inertia and Angular Velocity?

The Kinetic Energy given Inertia and Angular Velocity formula is defined as the kinetic energy due to the rotation of an object and is part of its total kinetic energy. Rotational kinetic energy is directly proportional to the rotational inertia and the square of the magnitude of the angular velocity. Kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation and is represented as KE2 = I*(ω^2)/2 or Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2. Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis & Angular Velocity Spectroscopy 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 Kinetic Energy given Inertia and Angular Velocity?

The Kinetic Energy given Inertia and Angular Velocity formula is defined as the kinetic energy due to the rotation of an object and is part of its total kinetic energy. Rotational kinetic energy is directly proportional to the rotational inertia and the square of the magnitude of the angular velocity. Kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation is calculated using Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2. To calculate Kinetic Energy given Inertia and Angular Velocity, you need Moment of Inertia (I) & Angular Velocity Spectroscopy (ω). With our tool, you need to enter the respective value for Moment of Inertia & Angular Velocity Spectroscopy 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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