Angular Displacement
Definition
Angular displacement refers to the change in the angle of an object as it rotates around a fixed axis.
Analogy
Imagine you are standing at the center of a merry-go-round. As the merry-go-round spins, your position changes relative to a fixed point on the ground. The angular displacement is like measuring how far you have moved from your starting position on the merry-go-round.
Related terms
Angular Velocity: Angular velocity is the rate at which an object rotates around a fixed axis, measured in radians per second.
Angular Acceleration: Angular acceleration is the rate at which an object's angular velocity changes over time, measured in radians per second squared.
Torque: Torque is a measure of how much force causes an object to rotate and is calculated by multiplying force and distance from the axis of rotation.
"Angular Displacement" appears in:
Additional resources (1)
Practice Questions (5)
A solid wheel with a radius of R rotates at a constant angular velocity omega. Which of the following points will undergo the greatest angular displacement as the wheel rotates?
A disk is rotating with an angular velocity of 5 rad/s. If it rotates for 2 seconds, what is the angular displacement of the disk?
A disk is rotating counterclockwise at an angular velocity of 4 rad/s. If the disk comes to a stop after 10 seconds, what is the angular displacement?
A disk is rotating counterclockwise with an angular velocity of 2 rad/s. If the disk undergoes an angular displacement of 4 radians in 2 seconds, what is the average angular acceleration of the disk?
A rotating wheel starts from rest and accelerates with a constant angular acceleration of 2 rad/s^2 for 5 seconds. What is the angular displacement of the wheel during this time?
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