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)

Credits

Created by Nishant Sihag
Indian Institute of Technology (IIT), Delhi
Nishant Sihag has created this Calculator and 50+ more calculators!
Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has verified this Calculator and 900+ more calculators!

8 Kinetic Energy for System Calculators

Kinetic Energy given Angular Velocity
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
Velocity of Particle 1 given Kinetic Energy
Go Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1)
Velocity of Particle 2 given Kinetic Energy
Go Velocity of Particle with Mass m2 = sqrt(((2*Kinetic Energy)-(Mass 1*Velocity of Particle with Mass m1^2))/Mass 2)
Kinetic Energy of System
Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2
Velocity of Particle 2
Go Velocity of Particle with Mass m2 = 2*pi*Radius of Mass 2*Rotational Frequency
Kinetic Energy given Inertia and Angular Velocity
Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2
Velocity of Particle 1
Go Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency
Kinetic Energy given Angular Momentum
Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

8 Kinetic Energy of System Calculators

Kinetic Energy given Angular Velocity
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
Velocity of Particle 1 given Kinetic Energy
Go Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1)
Velocity of Particle 2 given Kinetic Energy
Go Velocity of Particle with Mass m2 = sqrt(((2*Kinetic Energy)-(Mass 1*Velocity of Particle with Mass m1^2))/Mass 2)
Kinetic Energy of System
Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2
Velocity of Particle 2
Go Velocity of Particle with Mass m2 = 2*pi*Radius of Mass 2*Rotational Frequency
Kinetic Energy given Inertia and Angular Velocity
Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2
Velocity of Particle 1
Go Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency
Kinetic Energy given Angular Momentum
Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

Kinetic Energy given Inertia and Angular Velocity Formula

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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!