Practical tools for measured work
Angular motion calculator
Calculate angular acceleration, rotation and tangential motion from radian or RPM inputs.
Calculate the layout, check the diagram, then print the result for the shop or jobsite.
How it works
Angular acceleration α = (ω₂ − ω₁) / t. With constant acceleration, angular displacement θ = (ω₁ + ω₂)t/2. Tangential velocity is ωr, tangential acceleration is αr and centripetal acceleration is ω²r. One revolution equals 2π radians.
Current-input example
The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.
- Initial angular velocity
- 0
- Final angular velocity
- 60
- Angular velocity unit
- Revolutions per minute
- Elapsed time
- 2 s
- Radius
- 3 m
Primary result: Angular acceleration: 3.141592654 rad/s².
Before using the result
- Check the selected mode, units and input values before using the result.
- Read the assumptions and rounding rules; compare the worked example with your intended calculation.
- A numerical result does not supply missing context or change the stated limitations.
Limitations
Use consistent SI units. These idealized classical calculations exclude drag, relativity and changes in acceleration. Signed velocity indicates direction; speed and path length are nonnegative. Inputs must be finite and no larger than one trillion in magnitude.
Frequently asked questions
What is the difference between speed and velocity?
Average speed is total path length divided by elapsed time. Average velocity is signed displacement divided by elapsed time. Returning to the starting point gives zero average velocity even after travelling a nonzero distance.
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