Angular velocity changes linearly with time when angular acceleration is constant.
Difficulty
Intermediate
Read time
5 min
Prerequisites
Basic algebra, consistent units, and the stated model assumptions
Source
OpenStax, College Physics 2e, §10.1 (Paul Peter Urone and Roger Hinrichs)OpenFormulaGraph equation reference; FormuLab adaptation details and license are provided below.
Adapted from OpenFormulaGraph, under CC BY 4.0.
FormuLab adapted wording, notation, applicability conditions and topic placement, and expanded the numerical check into a worked example.
Angular velocity changes linearly with time when angular acceleration is constant. The sign indicates direction about the chosen axis.
| Symbol | Meaning | Units |
|---|---|---|
| Angular Velocity (final) | ||
| Angular Velocity (initial) | ||
| Angular Acceleration | ||
| Time |
Find final shaft angular velocity.
Track angular velocity under constant angular deceleration.
A rotor starts at 2 rad/s and accelerates at 3 rad/s² for 4 s. Find its final angular velocity.
OpenFormulaGraph equation reference; FormuLab adaptation details and license are provided below.
Adapted from OpenFormulaGraph, under CC BY 4.0.
FormuLab adapted wording, notation, applicability conditions and topic placement, and expanded the numerical check into a worked example.
Assumptions
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