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.
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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 (ω)?
Linear Velocity (v): The rate of change of linear position, depends on radius. | Angular Velocity (ω): The rate of change of angular position, uniform in a rigid system.
What are the key differences between linear acceleration (a) and angular acceleration (α)?
Linear Acceleration (a): The rate of change of linear velocity, depends on radius. | Angular Acceleration (α): 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.
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=rω.
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 aT=rα.
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=rω.
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.