All Flashcards
What is the difference between linear and angular velocity?
Linear velocity: Describes the rate of change of an object's position in a straight line. Angular velocity: Describes the rate of change of an object's angular position during rotation.
How does linear inertia differ from rotational inertia?
Linear inertia (mass): Resistance to changes in linear motion, depends only on mass. Rotational inertia: Resistance to changes in rotational motion, depends on mass and its distribution relative to the axis of rotation.
Compare linear and angular acceleration.
Linear acceleration: The rate of change of linear velocity. Angular acceleration: The rate of change of angular velocity.
Compare force and torque.
Force: A push or pull that causes linear acceleration. Torque: A twisting force that causes angular acceleration.
What is the difference between linear momentum and angular momentum?
Linear momentum: Mass in motion in a straight line. Angular momentum: Rotational inertia in motion.
Compare and contrast torque and force.
Torque: Rotational force, causes rotation. | Force: Linear force, causes linear acceleration.
Compare and contrast rotational inertia and mass.
Rotational Inertia: Resistance to changes in rotational motion, depends on mass distribution. | Mass: Resistance to changes in linear motion.
Compare and contrast tangential speed and angular speed.
Tangential Speed: Linear speed of a point on a rotating object. | Angular Speed: Rate of change of angular displacement.
Compare the rotational inertia of a solid cylinder and a hollow cylinder of the same mass and radius.
Solid Cylinder: Lower rotational inertia, mass closer to the axis of rotation. | Hollow Cylinder: Higher rotational inertia, mass farther from the axis of rotation.
Compare clockwise and counterclockwise torque.
Clockwise Torque: Causes clockwise angular acceleration. | Counterclockwise Torque: Causes counterclockwise angular acceleration.
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 .