The energy an object possesses due to its rotation.

How resistant an object is to changes in its rotation.

How fast the object is rotating, measured in radians per second.

The kinetic energy an object possesses due to its linear motion.

Rotational kinetic energy changes when work is done by a torque.

1. Calculate rotational kinetic energy: $K_{rot} = (1/2)Iω^2$. 2. Calculate translational kinetic energy: $K_{trans} = (1/2)mv^2$. 3. Add them together: $K_{total} = K_{rot} + K_{trans}$.

1. Identify knowns and unknowns. 2. Choose the appropriate formula. 3. Convert units to radians per second if necessary. 4. Substitute values and solve.

1. Identify initial and final states. 2. Determine potential and kinetic energies at each state. 3. Apply the conservation of energy equation: $E_{initial} = E_{final}$. 4. Solve for the unknown variable.

1. Determine the rotational inertia (I) of the system about its center of mass. 2. Measure or calculate the angular velocity (ω) of the system. 3. Apply the formula: $K_{rot} = (1/2)Iω^2$.

1. Identify the radius (R) of the rolling object. 2. Determine the angular velocity (ω) in radians per second. 3. Use the equation: $v = Rω$ to find the linear velocity (v).

Rotational KE: Energy from spinning | Translational KE: Energy from movement of center of mass.

Scalar: Magnitude only | Vector: Magnitude and direction.