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  1. AP Physics C Mechanics
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What is the effect of increasing the distance of mass from the axis of rotation?

Increases rotational inertia.

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What is the effect of increasing the distance of mass from the axis of rotation?

Increases rotational inertia.

What is the effect of applying a net torque to an object?

Causes angular acceleration.

What happens when a figure skater pulls their arms inward during a spin?

Their rotational inertia decreases, and their angular speed increases.

What is the effect of increasing rotational inertia on angular acceleration, given a constant torque?

Decreases angular acceleration.

What happens when an object rolls without slipping?

The linear speed of its center of mass is related to its angular speed by vcm=Rωv_{cm} = R\omegavcm​=Rω.

Define torque.

Torque (auauau) is a twisting force that causes rotation. It is the product of the force and the lever arm (the distance from the axis of rotation to the point where the force is applied).

Define rotational inertia.

Rotational inertia (I) is a measure of an object's resistance to changes in its rotational motion. It depends on the object's mass and how that mass is distributed relative to the axis of rotation.

Define angular acceleration.

Angular acceleration (alphaalphaalpha) is the rate of change of angular velocity with respect to time. It is measured in radians per second squared (rad/s²).

What is net torque?

Net torque (SigmaauSigma auSigmaau) is the sum of all torques acting on an object. It determines the angular acceleration of the object.

Define lever arm.

The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force. It is a critical component in calculating torque.

Define torque.

The rotational equivalent of force; what causes an object to start rotating or change its rotation.

Define rotational inertia.

A measure of how much an object resists changes in its rotational motion.

What is angular acceleration?

The rate of change of angular velocity.

Define Newton's Second Law for Rotation.

The net torque on an object is equal to the product of its rotational inertia and angular acceleration: ∑τ=Iα\sum \tau = I \alpha∑τ=Iα.

What is tangential speed?

The linear speed of a point on a rotating object, related to angular speed by v=rωv = r\omegav=rω.

What is tangential acceleration?

The linear acceleration of a point on a rotating object, related to angular acceleration by a=rαa = r\alphaa=rα.