Angular Velocity to Hertz Converter Formula
Understand the math behind the angular velocity to hertz converter. Each variable explained with a worked example.
Formulas Used
Hertz
result = value / (2 * pi)Variables
| Variable | Description | Default |
|---|---|---|
value | Radians per Second(rad/s) | 6.2832 |
How It Works
Angular Velocity to Frequency
Formula
f = omega / (2 * pi)
Where omega is angular velocity in radians per second and f is frequency in hertz.
1 full revolution = 2*pi radians = 1 cycle, so dividing by 2*pi converts from radians per second to cycles per second (hertz).
Worked Example
Convert 6.2832 rad/s to Hz.
value = 6.2832
- 01f = 6.2832 / (2 x 3.14159)
- 02f = 6.2832 / 6.2832 = 1.0000 Hz
Frequently Asked Questions
What is angular velocity?
Angular velocity measures how fast something rotates, expressed in radians per second. One full rotation is 2*pi radians (approximately 6.2832 radians).
How is angular velocity related to RPM?
RPM = angular velocity x 60 / (2*pi). So 1 rad/s equals about 9.549 RPM.
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Open Angular Velocity to Hertz Converter