Kinematics of Rotational Motion: Kinematics of rotational motion refers to the study of the motion of objects that rotate about an axis. In contrast to linear motion, where position is described by a single coordinate, rotational motion requires two coordinates to describe the position of an object – the angle of rotation and the distance from the axis of rotation.

Quantities Used in Kinematics of Rotational Motion

The basic quantities used to describe the kinematics of rotational motion are:

• Angular displacement: The change in angle through which an object rotates. It is usually measured in radians (rad).
• Angular velocity: The rate of change of angular displacement with respect to time. It is usually measured in radians per second (rad/s).
• Angular acceleration: The rate of change of angular velocity with respect to time. It is usually measured in radians per second squared (rad/s²).

Formulas in Kinematics of Rotational Motion

Angular displacement:

θ = ω0t + ½αt²

Where,

• θ is the angular displacement
• ω0 is the initial angular velocity
• t is time
• α is the angular acceleration

Angular velocity:

ω = ω0 + αt

Where,

• ω is the final angular velocity
• ω0 is the initial angular velocity
• t is time
• α is the angular acceleration

Angular acceleration:

α = (ω – ω0)/t

Where,

• α is the angular acceleration
• ω is the final angular velocity
• ω0 is the initial angular velocity
• t is time

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By Team Learning Mantras