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What is the effect of increasing angular velocity on linear velocity?
Increasing angular velocity increases the linear velocity of a point on a rotating object, according to the relationship $v = r\omega$.
What is the effect of increasing angular acceleration on tangential acceleration?
Increasing angular acceleration increases the tangential acceleration of a point on a rotating object, according to the relationship $a_T = r\alpha$.
What is the effect of increasing the radius on linear velocity, given a constant angular velocity?
Increasing the radius increases the linear velocity of a point on a rotating object, given a constant angular velocity, according to the relationship $v = r\omega$.
What is the effect of applying a torque to a rigid object?
Applying a torque to a rigid object causes it to experience angular acceleration.
What is the effect of a net force applied to the center of mass of an object?
A net force applied to the center of mass of an object causes linear acceleration.
What is the difference between linear and angular displacement?
Linear displacement: distance traveled along a straight line. Angular displacement: angle through which an object has rotated.
What is the difference between linear and angular velocity?
Linear velocity: rate of change of linear displacement. Angular velocity: rate of change of angular displacement.
What is the difference between linear and tangential acceleration?
Linear acceleration: rate of change of velocity in a straight line. Tangential acceleration: rate of change of tangential velocity of a rotating object.
Compare angular velocity at different points in a rigid rotating system.
All points in a rigid rotating system share the same angular velocity, regardless of their distance from the axis of rotation.
Compare tangential velocity at different points in a rigid rotating system.
Points further from the axis of rotation in a rigid rotating system have greater tangential velocity.
Define angular displacement ($\theta$).
Angular displacement is the angle through which a point or object has been rotated in a specified direction.
Define angular velocity ($\omega$).
Angular velocity is the rate of change of angular displacement with respect to time.
Define angular acceleration ($alpha$).
Angular acceleration is the rate of change of angular velocity with respect to time.
Define tangential acceleration ($a_T$).
Tangential acceleration is the linear acceleration of a point on a rotating object, tangent to the circular path.
Define 'rolling without slipping'.
Rolling without slipping is a type of motion where a rotating object moves along a surface without sliding; the point of contact between the object and the surface is instantaneously at rest.