What is a radian?
A radian is the angle subtended by an arc length equal to the radius. One full circle is 2π radians.
Calculator
Enter your values
Results
Angular Velocity
104.72 rad/s
Linear Velocity
52.36 m/s
Centripetal Accel
5483.1 m/s²
G-Force
558.93 g
Analysis
Interpretation of the current calculator output
Calculation Summary
The current inputs have been processed for the angular velocity calculator. Review the results panel for the computed output and use the charts tab to compare the current values visually.
How to Read It
The main result shows the direct answer for your current inputs. Supporting sections below explain the method, example, and common questions so the result is easier to interpret.
How to Use
Step-by-step instructions
- 1Enter the RPM (Revolutions Per Minute).
- 2Enter the radius of rotation.
- 3The calculator computes velocity and acceleration.
Angular Motion
Angular velocity (ω) relates to frequency (f). Linear velocity (v) depends on the radius (r).
ω = 2πf, v = ωrVariables:
ωAngular Velocity (rad/s)fFrequency (Hz)rRadius (m)Example
Spinning Wheel
Inputs:
RPM:60
Radius:1 m
Steps:
- 1.f = 60/60 = 1 Hz
- 2.ω = 2π(1) ≈ 6.28 rad/s
- 3.v = 6.28 × 1 = 6.28 m/s
Result:
6.28 rad/s