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Hertz to Revolution/min Converter

Enter the value that you want to convert hertz (Hz) to revolution/min (rpm) or revolution/min to hertz.Also written as HZ to RPM conversion.

1 hertz = 59.9999999 revolution/min

Formula: revolution/min = hertz value × 59.9999999

HZ to RPM — hertz to revolution/min

Hz
600.00000rpm

10 hertz = 600.00000 revolution/min

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Hertz to Revolution/min: The Essentials

What is Hertz?

Hertz (Hz) is a unit of frequency measurement. 1 hertz is equal to 59.9999999 revolution/min.

Understanding the Revolution/min

Revolution/min (rpm) is a unit of frequency measurement. 1 revolution/min is equal to 0.0166667 hertz.

Frequency Conversion Applications

Frequency units span from hertz (cycles per second) through kilohertz (AM radio), megahertz (FM radio, processors), to gigahertz (Wi-Fi, 5G, microprocessors) and terahertz (scientific imaging). RPM to hertz conversion connects mechanical rotation to electrical frequency in generators and motors. Musicians convert between frequency (Hz) and musical pitch.

hertz to revolution/min metric conversion table

0.01 Hz=0.60000 rpm
0.1 Hz=6.00000 rpm
1 Hz=60.00000 rpm
2 Hz=120.00000 rpm
3 Hz=180.00000 rpm
4 Hz=240.00000 rpm
5 Hz=300.00000 rpm
6 Hz=360.00000 rpm
7 Hz=420.00000 rpm
8 Hz=480.00000 rpm
9 Hz=540.00000 rpm
10 Hz=600.00000 rpm
11 Hz=660.00000 rpm
12 Hz=720.00000 rpm
13 Hz=780.00000 rpm
14 Hz=840.00000 rpm
15 Hz=900.00000 rpm
16 Hz=960.00000 rpm
17 Hz=1020.00000 rpm
18 Hz=1080.00000 rpm
19 Hz=1140.00000 rpm
20 Hz=1200.00000 rpm
30 Hz=1800.00000 rpm
40 Hz=2400.00000 rpm
50 Hz=2999.99999 rpm
60 Hz=3599.99999 rpm
70 Hz=4199.99999 rpm
80 Hz=4799.99999 rpm
90 Hz=5399.99999 rpm
100 Hz=5999.99999 rpm
200 Hz=11999.99998 rpm
300 Hz=17999.99996 rpm
400 Hz=23999.99995 rpm
500 Hz=29999.99994 rpm
600 Hz=35999.99993 rpm
700 Hz=41999.99992 rpm
800 Hz=47999.99990 rpm
900 Hz=53999.99989 rpm
1000 Hz=59999.99988 rpm

How to Convert HZ to RPM (Hertz to Revolution/min)?

We can convert hertz to revolution/min by using an example.

Example:

Convert 20 Hertz to Revolution/min?

We know 1 Hertz = 59.9999999 revolution/min; 1 Revolution/min = 0.0166667 hertz.

20 hertz = ___rpm

20 × 59.9999999 = 1200.00000 rpm (we know 1 hertz = 59.9999999 revolution/min)

Answer:

20 hertz = 1200.00000 revolution/min

Hertz to RPM: From Frequency to Rotational Speed

Converting Hertz to revolutions per minute is the inverse of RPM-to-Hz: multiply by 60, since each cycle per second equals 60 cycles per minute. Engineers use this when designing motors, specifying centrifuge speeds, or translating vibration frequency data back to shaft speed.

  1. Start with the frequency in Hz.
  2. Multiply by 60.
  3. The result is the rotational speed in RPM.
  4. Example: 50 Hz × 60 = 3,000 RPM.
💡 Tip: Remember that power line frequency directly gives motor synchronous speed: 50 Hz → 3,000 RPM (2-pole), 60 Hz → 3,600 RPM (2-pole).

Hz to RPM Common Values

Frequencies converted to rotational speeds for motors and machinery:

HertzRevolution/min
0.5 Hz30 RPM
1 Hz60 RPM
10 Hz600 RPM
25 Hz1,500 RPM
30 Hz1,800 RPM
50 Hz3,000 RPM
60 Hz3,600 RPM
200 Hz12,000 RPM

Worked Examples: Hz to RPM

Question 1: A variable frequency drive outputs 45 Hz to a 2-pole motor. What is the synchronous speed in RPM?

Solution:

RPM = Hz × 60

= 45 × 60

= 2,700 RPM

Answer: 45 Hz = 2,700 RPM synchronous speed for a 2-pole motor (actual speed slightly less due to slip).

Question 2: A vibration spectrum shows a dominant peak at 25 Hz. What shaft speed does this correspond to?

Solution:

RPM = Hz × 60

= 25 × 60

= 1,500 RPM

Answer: 25 Hz = 1,500 RPM — likely a 4-pole motor running on 50 Hz power.

Question 3: A gyroscope sensor detects 8.33 Hz rotation. Convert to RPM.

Solution:

RPM = Hz × 60

= 8.33 × 60

= 500 RPM

Answer: 8.33 Hz = 500 RPM — the object makes 500 full rotations per minute.

Practice: Hz to RPM

Try solving these on your own to test your understanding:

  1. Convert 100 Hz to RPM. (Answer: 6,000 RPM)
  2. A motor runs at 75 Hz via a VFD. What is the RPM? (Answer: 4,500 RPM)
  3. Convert 2 Hz to RPM. (Answer: 120 RPM)
  4. A vibration peak occurs at 166.7 Hz. What shaft RPM? (Answer: 10,000 RPM)
  5. Convert 0.25 Hz to RPM. (Answer: 15 RPM)

Variable Frequency Drives: Hz Controls RPM

Variable Frequency Drives (VFDs) are the primary method for controlling AC motor speed in industry. By adjusting the output frequency in Hz, the VFD directly controls motor RPM: a 2-pole motor at 30 Hz runs at ~1,800 RPM, at 45 Hz it runs at ~2,700 RPM, and at 60 Hz it reaches ~3,600 RPM. The Hz-to-RPM conversion (×60 for 2-pole) is what VFD operators use to set target speeds on their HMI panels.

Angular Velocity: Hz to RPM to rad/s

Hz, RPM, and rad/s are three ways to express rotational speed. The conversion chain: Hz × 60 = RPM, and Hz × 2π = rad/s. So 1 Hz = 60 RPM = 6.283 rad/s. Engineers use RPM for mechanical specifications, Hz for electrical frequency, and rad/s for physics calculations (torque = moment of inertia × angular acceleration in rad/s²).

Key Takeaways

  • 1 Hz = 60 RPM (multiply Hz by 60).
  • Power line frequency × 60 = synchronous motor RPM (for 2-pole motors).
  • VFDs control motor speed by varying the frequency in Hz.
  • Vibration peaks in Hz can be converted to shaft RPM for fault diagnosis.
  • The full chain: Hz × 60 = RPM; Hz × 2π = rad/s.

Hertz to Revolution/min Conversion Formula

revolution/min = hertz × 59.9999999

1 hertz = 59.9999999 revolution/min

1 revolution/min = 0.0166667 hertz

Reverse: hertz = revolution/min × 0.0166667

Frequently Asked Questions

How many revolution/min are in 1 hertz?

There are 59.9999999 revolution/min in 1 hertz. To convert hertz to revolution/min, multiply the value by 59.9999999.

How do I convert hertz to revolution/min?

Multiply your hertz value by 59.9999999 to get the equivalent in revolution/min. For example, 5 hertz = 5 × 59.9999999 = 300.00000 revolution/min.

How do I convert revolution/min to hertz?

Multiply your revolution/min value by 0.0166667 to get the equivalent in hertz. Alternatively, divide by 59.9999999.

What is 10 hertz in revolution/min?

10 hertz is equal to 600.00000 revolution/min.

What is 100 hertz in revolution/min?

100 hertz is equal to 5999.99999 revolution/min.