Convert frequency from hertz (Hz) to revolutions per minute (RPM) instantly
Hz
RPM
Conversion Result
1 Hz = 60 RPM
Quick Conversions
1 Hz
10 Hz
25 Hz
50 Hz
60 Hz
100 Hz
Conversion Formula
Converting hertz to revolutions per minute is straightforward using the relationship between cycles per second and rotations per minute.
RPM = Hz × 60
Hz = RPM ÷ 60
Since one hertz represents one cycle per second, and there are 60 seconds in a minute, multiplying the frequency in hertz by 60 gives the rotational speed in revolutions per minute.
Conversion Examples
Example 1: Convert 5 Hz to RPM
Start with the value: 5 Hz
Apply the formula: RPM = 5 × 60
Calculate: 5 × 60 = 300
Result: 5 Hz = 300 RPM
Example 2: Convert 50 Hz to RPM
Start with the value: 50 Hz
Apply the formula: RPM = 50 × 60
Calculate: 50 × 60 = 3,000
Result: 50 Hz = 3,000 RPM
Example 3: Convert 120 Hz to RPM
Start with the value: 120 Hz
Apply the formula: RPM = 120 × 60
Calculate: 120 × 60 = 7,200
Result: 120 Hz = 7,200 RPM
Hertz to RPM Conversion Table
Hertz (Hz)
Revolutions Per Minute (RPM)
What is Hertz?
Hertz (Hz) is the SI unit of frequency, measuring the number of cycles per second. One hertz equals one cycle per second. Named after Heinrich Hertz, this unit is widely used in physics, engineering, and electronics to measure periodic phenomena.
In rotating machinery, hertz represents how many complete rotations occur each second. A motor operating at 2 Hz completes two full rotations every second. Frequency measurements in hertz are essential for analyzing vibrations, motor speeds, and alternating current systems.
Common Hertz Applications
Electrical power systems (50 Hz or 60 Hz AC frequency)
Motor speed specifications in industrial equipment
Vibration analysis in mechanical systems
Audio frequency measurement (20 Hz to 20,000 Hz)
Radio and telecommunications frequencies
What is RPM?
Revolutions per minute (RPM) measures rotational speed, indicating how many complete turns an object makes in one minute. This unit is fundamental in mechanical engineering, automotive applications, and any field involving rotating machinery.
RPM provides an intuitive way to express rotational speed. An engine running at 3,000 RPM completes 3,000 full rotations every minute, or 50 rotations per second. This measurement helps engineers specify motor performance, design gear ratios, and analyze mechanical systems.
Common RPM Applications
Engine speeds in automobiles and motorcycles
Electric motor specifications
Hard drive spindle speeds
Centrifuge operation in laboratories
Fan and pump performance ratings
Machine tool spindle speeds
Practical Conversions
These commonly used conversions appear frequently in engineering and mechanical applications:
AC Power Frequency: 50 Hz = 3,000 RPM (European standard)
AC Power Frequency: 60 Hz = 3,600 RPM (North American standard)
Motor Application: 30 Hz = 1,800 RPM (typical motor speed)
Related Frequency Conversions
Hz to rad/s
Radians per second
Hz to kHz
Kilohertz
Hz to MHz
Megahertz
RPM to rad/s
Angular velocity
Hz to degree/s
Degrees per second
RPM to RPS
Revolutions per second
Frequently Asked Questions
How do I convert Hz to RPM?
Multiply the frequency in hertz by 60 to get revolutions per minute. The formula is RPM = Hz × 60. For example, 5 Hz equals 300 RPM (5 × 60 = 300).
Why is the conversion factor 60?
Hertz measures cycles per second, while RPM measures revolutions per minute. Since there are 60 seconds in one minute, we multiply by 60 to convert from per-second to per-minute measurements.
Are Hz and RPM measuring the same thing?
Both units measure frequency or rotational speed, but use different time bases. Hertz uses seconds while RPM uses minutes. They represent the same physical phenomenon with different scales.
What is 1 Hz in RPM?
1 Hz equals exactly 60 RPM. This means one cycle per second is equivalent to 60 cycles (or revolutions) per minute.
How many RPM is 50 Hz?
50 Hz equals 3,000 RPM. This frequency is common in electrical systems using the 50 Hz power standard found in many countries worldwide.
How many RPM is 60 Hz?
60 Hz equals 3,600 RPM. This corresponds to the 60 Hz AC power frequency standard used in North America and several other regions.
Can I convert RPM back to Hz?
Yes, divide RPM by 60 to convert back to hertz. The formula is Hz = RPM ÷ 60. For instance, 1,800 RPM equals 30 Hz (1,800 ÷ 60 = 30).
Where is this conversion used in real applications?
This conversion appears in motor specifications, vibration analysis, rotating machinery design, electrical engineering, and mechanical systems. Engineers use it to relate electrical frequency to mechanical rotational speed in motors and generators.
Is the conversion exact or approximate?
The conversion is mathematically exact. Since there are precisely 60 seconds in a minute, multiplying Hz by 60 always gives the accurate RPM value with no rounding errors in the formula itself.
What is the relationship between motor frequency and speed?
In synchronous motors, the electrical supply frequency directly determines rotational speed. A 4-pole motor at 60 Hz runs at 1,800 RPM, while the same motor at 50 Hz runs at 1,500 RPM. Variable frequency drives adjust Hz to control motor RPM.
