Hertz to RPM Converter
Free Hertz rpmconverter Converter for signal & frequency units. Enter a value to see equivalent measurements across systems.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Hertz to RPM Converter
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Formula: RPM = Hertz * 60 | Hertz = RPM / 60
Worked example โ 50 Hz 4-pole motor: 1,500 RPM synchronous speed
Formula
RPM = Hertz * 60 | Hertz = RPM / 60
Multiply hertz by 60 to get RPM since there are 60 seconds per minute. For motor synchronous speed, use RPM = (120 * f) / poles. Angular velocity in rad/s equals 2 * pi * frequency in Hz.
Worked Examples
Example 1: European Power Motor Speed
Problem:A 4-pole motor operates on 50 Hz European power. What is its synchronous speed?
Solution:Rotational frequency: 50 Hz = 50 * 60 = 3,000 RPM Synchronous speed = (120 * 50) / 4 = 1,500 RPM Angular velocity = 2 * pi * 50 = 314.16 rad/s
Result:50 Hz 4-pole motor: 1,500 RPM synchronous speed
Example 2: Hard Drive Spindle Speed
Problem:A hard drive spins at 7,200 RPM. What is the frequency in hertz?
Solution:Frequency = RPM / 60 f = 7,200 / 60 = 120 Hz Period = 1 / 120 = 0.00833 seconds Angular velocity = 2 * pi * 120 = 753.98 rad/s
Result:7,200 RPM = 120 Hz (period of 8.33 ms per revolution)
Frequently Asked Questions
How do you convert hertz to RPM?
To convert hertz to RPM (revolutions per minute), multiply the frequency in hertz by 60. This works because hertz measures cycles per second and there are 60 seconds in a minute. For example, 50 Hz equals 50 * 60 = 3,000 RPM. Conversely, to convert RPM to hertz, divide the RPM value by 60. A motor spinning at 1,800 RPM has a rotational frequency of 1,800 / 60 = 30 Hz.
What is synchronous motor speed and how does it relate to frequency?
Synchronous motor speed is determined by the power supply frequency and the number of magnetic poles in the motor. The formula is RPM = (120 * f) / P, where f is frequency in hertz and P is the number of poles. A 2-pole motor on 60 Hz power runs at 3,600 RPM synchronously, while a 4-pole motor on the same supply runs at 1,800 RPM. Actual induction motors run slightly slower due to slip.
What is angular velocity and how is it calculated?
Angular velocity (omega) measures rotational speed in radians per second. It is calculated as omega = 2 * pi * f, where f is the frequency in hertz. One complete revolution equals 2*pi radians (approximately 6.2832 radians). Angular velocity is preferred in physics and engineering equations because it simplifies the mathematics of rotational motion, torque, and centripetal force calculations.
References
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
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