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What is the effect of applying a constant tangential force to the edge of a disk?
It causes the disk to experience angular acceleration and thus rotate with increasing angular velocity.
What is the effect of increasing the radius on the linear velocity of a point on a rotating object, given a constant angular velocity?
The linear velocity of the point increases.
What is the effect of a non-zero angular acceleration?
The angular velocity of the object changes over time.
What is the effect of applying a torque to an object?
It causes the object to experience angular acceleration.
What happens to the tangential acceleration if the angular acceleration increases?
The tangential acceleration increases proportionally, given a constant radius.
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.
What are the key differences between linear velocity ($v$) and angular velocity ($\omega$)?
Linear Velocity ($v$): The rate of change of linear position, depends on radius. | Angular Velocity ($\omega$): The rate of change of angular position, uniform in a rigid system.
What are the key differences between linear acceleration ($a$) and angular acceleration ($\alpha$)?
Linear Acceleration ($a$): The rate of change of linear velocity, depends on radius. | Angular Acceleration ($\alpha$): The rate of change of angular velocity, uniform in a rigid system.
Compare and contrast angular velocity and tangential velocity.
Angular Velocity: Rate at which an object rotates (rad/s), constant for all points on a rigid rotating object. Tangential Velocity: Linear speed of a point on a rotating object (m/s), depends on the radius.
Compare and contrast angular acceleration and tangential acceleration.
Angular Acceleration: Rate at which angular velocity changes (rad/s²), constant for all points on a rigid rotating object. Tangential Acceleration: Linear acceleration of a point on a rotating object (m/s²), depends on the radius.