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Angular Displacement
The angle swept out by a line passing through any point on a rigid body and intersecting the axis of rotation perpendicularly.
SI Unit of Angular Displacement
radian (rad)
Average Angular Velocity
The rate at which the angular displacement is changing.
SI Unit of Angular Velocity
radian per second (rad/s)
Average Angular Acceleration
The rate of change of angular velocity.
SI Unit of Angular Acceleration
radian per second squared (rad/s²)
Angular Speed
The rate of rotation of an object, measured in radians per second.
Angular Acceleration
The rate of change of angular velocity over time.
Example of Angular Acceleration Calculation
A jet's fan blades rotate from -110 rad/s to -330 rad/s in 14 s.
Example of Angular Displacement Calculation
A blender's blades rotate through an angular displacement of +44.0 rad.
Final Angular Velocity
The angular velocity of the blades after accelerating with a constant angular acceleration of +1740 rad/s².
Tangential Speed
The linear speed of a point on the outer edge of a rotating object.
Tangential Acceleration
The acceleration of a point on the outer edge of a rotating object.
Centripetal Acceleration
The acceleration directed towards the center of a circular path.
Rolling Motion
The motion of an object where linear velocity and acceleration are accompanied by angular acceleration and velocity.
Right-Hand Rule
A method to determine the direction of angular velocity by grasping the axis of rotation with the right hand.
Example of Car Acceleration
A car accelerates from rest for 20.0 s with a constant linear acceleration of 0.800 m/s².
Radius of Tires
The distance from the center of the tire to its outer edge, given as 0.330 m.
Angular Separation of Satellites
The angle between two synchronous satellites, given as 2.00 degrees.
Arc Length
The distance that separates two points along a circular path, calculated based on angular separation.
Gymnast's Average Angular Velocity
The average angular velocity of a gymnast swinging through two revolutions in 1.90 s.