All Flashcards

What is Rotational Kinetic Energy?

Energy an object possesses due to its rotation.

Define Rotational Inertia (I).

How hard it is to change an object's rotation.

Define Angular Velocity (ω).

How fast an object is spinning.

What is a rigid system?

A system where the distance between any two points remains constant.

What is Translational Kinetic Energy?

Energy an object possesses due to the motion of its center of mass.

How do you calculate total kinetic energy for a rolling object?

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: $K_{total} = K_{rot} + K_{trans}$ .

What are the steps to solve a rotational kinetic energy problem?

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

How do you apply conservation of energy in rotational motion problems?

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.

How to calculate the rotational kinetic energy of a system with a stationary center of mass?

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: $K_{rot} = (1/2)Iω^2$ .

How do you relate linear and angular velocity in rolling motion?

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).

What is the effect of increasing angular velocity on rotational kinetic energy?

Rotational kinetic energy increases (quadratically).

What happens when a figure skater pulls their arms closer to their body?

Their rotational speed increases due to conservation of angular momentum.

What happens when a rotating object's rotational inertia increases?

Its rotational kinetic energy decreases (if angular velocity remains constant).

What is the effect of applying a constant horizontal force to the center of a cylinder?

The cylinder experiences linear and angular acceleration.

What happens when a solid and hollow sphere are released at the top of an incline?

The solid sphere reaches the bottom first.