Rpmto Hertz Converter
Our free signal & frequency converter handles rpmto hertz conversions. See tables, ratios, and examples for quick reference.
Reviewed by Manoj Kumar, Mathematics Educator
Formula
Hertz = RPM / 60 | RPM = Hertz * 60
Divide RPM by 60 to get hertz since there are 60 seconds per minute. Angular velocity = 2*pi*Hz in rad/s. Linear speed = circumference * frequency for rotating wheels or shafts.
Worked Examples
Example 1: Car Engine at Highway Speed
Problem:A car engine runs at 2,400 RPM. Convert to hertz and find wheel speed with 650mm tires.
Solution:Frequency = 2400 / 60 = 40 Hz\nAngular velocity = 2 * pi * 40 = 251.33 rad/s\nWheel circumference = pi * 0.65 = 2.042 m\nLinear speed = 2.042 * 40 = 81.68 m/s (with direct drive)
Result:2,400 RPM = 40 Hz | 251.33 rad/s
Example 2: Industrial Motor Speed
Problem:Convert a 1,750 RPM industrial motor speed to hertz.
Solution:Frequency = RPM / 60\nf = 1750 / 60 = 29.1667 Hz\nPeriod = 1 / 29.1667 = 0.03429 seconds\nAngular velocity = 2 * pi * 29.1667 = 183.26 rad/s
Result:1,750 RPM = 29.17 Hz (period = 34.29 ms)
Frequently Asked Questions
How do you convert RPM to hertz?
To convert RPM to hertz, divide the RPM value by 60. RPM stands for revolutions per minute, while hertz measures cycles (revolutions) per second. Since there are 60 seconds in a minute, dividing by 60 converts from per-minute to per-second. For example, 3,600 RPM divided by 60 equals 60 Hz, which is the standard US power line frequency.
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy