All Flashcards
What are the key differences between work in linear motion and work in rotational motion?
Linear motion: Work is done by a force over a linear displacement. Rotational motion: Work is done by a torque over an angular displacement. The equations are and respectively.
Compare and contrast torque and force.
Force: A linear push or pull. Torque: A rotational force that causes an object to rotate. Both can do work.
Differentiate between angular displacement and linear displacement.
Angular displacement: The angle through which an object rotates. Linear displacement: The distance an object moves in a straight line.
How does moment of inertia relate to mass?
Mass: Resistance to linear acceleration. Moment of inertia: Resistance to angular acceleration. Moment of inertia depends on the mass distribution relative to the axis of rotation.
What is the difference between angular velocity and angular acceleration?
Angular velocity: The rate of change of angular displacement. Angular acceleration: The rate of change of angular velocity.
What is the effect of applying a torque to a stationary object?
It causes the object to undergo angular acceleration, initiating or changing its rotational motion.
What happens when positive work is done by a torque on a rotating object?
The rotational kinetic energy of the object increases, causing it to speed up.
What is the effect of negative work done by a torque on a rotating object?
The rotational kinetic energy of the object decreases, causing it to slow down.
What happens when the net torque on an object is zero?
The object's angular velocity remains constant (it either remains at rest or continues rotating at a constant rate).
What is the result of increasing the moment of inertia of an object while applying the same torque?
The angular acceleration of the object decreases.
What is torque?
Torque is a rotational force that can transfer energy to or from an object when applied over an angular displacement.
Define angular displacement.
Angular displacement is the angle through which an object rotates.
What is work in the context of rotational motion?
Work in rotational motion is the energy transferred by a torque acting over an angular displacement.
Define moment of inertia.
Moment of inertia is a measure of an object's resistance to changes in its rotational motion.
What is rotational kinetic energy?
Rotational kinetic energy is the kinetic energy due to the rotation of an object and is given by , where I is the moment of inertia and is the angular velocity.