If a rotating object has a moment of inertia of I and is rotating with an angula

If a rotating object has a moment of inertia of I and is rotating with an angular velocity ω, what is its rotational kinetic energy?

If a rotating object has a moment of inertia of I and is rotating with an angular velocity ω, what is its rotational kinetic energy?

Step 1: Understand that 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 spinning.
Step 3: The formula for rotational kinetic energy (KE) combines these two concepts.
Step 4: The formula is KE = 1/2 Iω^2, which means you take half of the moment of inertia and multiply it by the square of the angular velocity.
Step 5: To find the rotational kinetic energy, plug in the values of I and ω into the formula.

Rotational Kinetic Energy – The energy possessed by a rotating object due to its rotation, calculated using the formula KE = 1/2 Iω^2.
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.