Angular to Linear Velocity Equation
Reference from the original Physics I textbook.
- Angular to Linear Velocity Equation
Speed in fixed-axis rotation: v = r|ω|, where r is perpendicular distance from the axis.
Vector form: v⃗ = ω⃗ × r⃗.
- Related Glossary Terms
Angular Accelerationⓘ, Angular to Linear Acceleration Equation, Angular Velocity↗
- Index
Reviewed physics notes (2)
These corrections keep the original lesson’s purpose while fixing errors in the source edition.
- Linear velocity is not parallel to angular velocity. — Reference 1
- Source scalar multiplication incorrectly aligns linear velocity with the rotation axis. — Reference 1
Glossary and deeper reading · 3 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Velocity
Velocity describes how position changes with time and includes direction. Instantaneous velocity describes one moment, while average velocity is displacement divided by elapsed time. For example, a car turning a corner can change velocity while maintaining the same speed.
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Angular acceleration
Angular acceleration is the rate of change of angular velocity. For a fixed axis its sign follows the chosen positive rotation direction, and its units are radians per second squared. For example, a fan speeding up has angular acceleration, whereas one turning steadily does not.
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Angular velocity
Angular velocity describes the rate and direction of rotation about an axis. For a fixed axis, a signed angular velocity is measured in radians per second, while its magnitude is angular speed. For example, points on one rigid turntable share the same angular speed even though outer points have greater linear speeds.