angular velocity

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angular velocity

A spinning top has a constant angular velocity.

Definition
  1. Noun:
    • (Physics) The rate of change of angular displacement: Angular velocity is a vector quantity that measures how fast an object rotates or revolves relative to a point, specifically how quickly its angular position changes over time. It is typically expressed in units of radians per second (rad/s) or radians per minute.
Usage Examples
  • Noun:
    • The angular velocity of the Earth's rotation is approximately 7.29 × 10⁻⁵ radians per second.
    • To calculate the centripetal force, you need to know the object's mass, radius, and angular velocity.
    • The engineer increased the angular velocity of the flywheel to store more kinetic energy.
Advanced Usage
  • Instantaneous angular velocity: The angular velocity at a specific instant in time, often found using calculus as the derivative of the angular position function.

    • The sensor measures the instantaneous angular velocity of the robotic arm's joint.
  • Average angular velocity: The total angular displacement divided by the total time taken.

    • The average angular velocity of the record player was 33 1/3 rotations per minute.
  • Angular velocity vector: In three dimensions, angular velocity is represented as a vector where the direction is along the axis of rotation (using the right-hand rule).

    • The direction of the angular velocity vector is perpendicular to the plane of rotation.
Variants and Related Words
  • Angular speed (n): The magnitude of the angular velocity vector, a scalar quantity measuring how fast an object rotates without specifying direction.

    • The angular speed of the turbine was constant.
  • Angular acceleration (n): The rate of change of angular velocity with respect to time.

    • A constant torque produces a constant angular acceleration.
Synonyms
  • Rotational speed: Often used interchangeably in casual contexts, though technically rotational speed is a scalar (like angular speed).
  • Rotational velocity: A less common but acceptable synonym emphasizing rotational motion.
Related Phrases
  • To have a high angular velocity: To rotate very quickly.

    • A drill bit must have a very high angular velocity to be effective.
  • To conserve angular velocity: In a closed system with no external torque, angular velocity can remain constant.

    • The spinning ice skater conserves angular momentum, not angular velocity, when she pulls her arms in.
angular velocity

A spinning top has a constant angular velocity.

Noun
  1. (physics) the rate of change of the angular position of a rotating body; usually expressed in radians per second or radians per minute