A rotating object has a moment of inertia I and an angular velocity ω. What is i

A rotating object has a moment of inertia I and an angular velocity ω. What is its rotational kinetic energy? (2020)

A rotating object has a moment of inertia I and an angular velocity ω. What is its rotational kinetic energy? (2020)

Step 1: Understand that the moment of inertia (I) is a measure of how difficult it is to change the rotation of an object.
Step 2: Know that angular velocity (ω) is how fast the object is rotating.
Step 3: Recognize that rotational kinetic energy is the energy an object has due to its rotation.
Step 4: The formula for calculating rotational kinetic energy is K.E. = (1/2)Iω².
Step 5: To find the rotational kinetic energy, you need to multiply the moment of inertia (I) by the square of the angular velocity (ω), and then multiply that result by 1/2.

Rotational Kinetic Energy – The energy possessed by an object due to its rotation, calculated using the formula K.E. = (1/2)Iω², where I is the moment of inertia and ω is the angular velocity.
Moment of Inertia – A measure of an object's resistance to changes in its rotation, dependent on the mass distribution relative to the axis of rotation.
Angular Velocity – The rate of rotation of an object, typically measured in radians per second.