Rotational motion over time, abbreviated as \( \theta \) (Greek symbol theta), is the change in the angular position of an object as time passes. It describes how an object turns, spins, or revolves about an axis and how its rotational state evolves with time. Examples include the spinning of a wheel, the rotation of Earth about its axis, the motion of a turbine shaft, or the rotation of a motor rotor.
Rotational Motion Over Time Formula |
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| \( \theta \;=\; \omega_i \cdot t + \dfrac{1}{2} \cdot \alpha \cdot t^2 \) | ||
| Symbol | English | Metric |
| \( \theta \) (Greek symbol theta) = Rotational Motion Over Time | \(deg\) | \(rad\) |
| \( \omega_i \) (Greek symbol omega) = Initial Angular Velocity | \(deg \;/\; sec\) | \(rad \;/\; s\) |
| \( t \) = Time | \(sec\) | \(s\) |
| \( \alpha \) (Greek symbol alpha) = Angular Acceleration | \(deg \;/\; sec^2\) | \(rad \;/\; s^2\) |
Angular displacement specifies how far an object has rotated from an initial position. The rate at which angular displacement changes with respect to time is angular velocity. Angular velocity indicates how rapidly an object rotates. If the angular velocity itself changes with time, the object experiences angular acceleration. Angular acceleration describes how quickly the rotational speed increases or decreases.
