Five-Way Speed Conversion
Convert between RPM, Hz, RPS, radians per second and degrees per second. Switch directions instantly without manually rearranging the formulas.
Bidirectional conversion
Convert RPM to Hertz and back, explore angular velocity, calculate blade-pass frequency and blade-tip speed, and compare rotational speeds.
One converter for fans, electric motors, turntables, turbines, and engineering exercises. Enter a speed in any supported unit and see the connected physics instantly.
Visual rotation · scaled for readability
THE CONVERTER
LIVE BREAKDOWN
Revolutions / min
1,200RPM
Revolutions / sec
20Hz / RPS
Angular velocity
125.66rad/s
Revolution period
50milliseconds / rev
Key formula
Hz = RPM ÷ 60
Hertz here means rotational cycles per second, not acoustic pitch.
Go beyond Hz with blades and rotating diameter.
Blade-pass frequency
100Hz
Blade-tip speed
7.54m/s
Blade passes / min
6,000Tip travel / min
452.39m
Uses effective blade-tip diameter, not necessarily the fan's external frame size. Results are theoretical rotational quantities, not airflow or noise predictions.
Compare two rotational speeds on the same scale.
B is 50% faster than A.
FAST WORKFLOW
Paste numbers separated by commas, spaces or new lines. Up to 500 values.
Common rotational speeds with exact formula-based conversion.
| RPM | Hz / RPS | rad/s | Period (ms) |
|---|
RPM means how many complete revolutions occur in one minute.
There are 60 seconds in a minute, so RPM ÷ 60 gives cycles per second.
Multiply Hz by 2π for rad/s, or take 1000 ÷ Hz for the revolution period in ms.
A motor spinning at 3,000 RPM sounds straightforward. But how many revolutions does it complete every second? What's its angular velocity? How long does one full revolution actually take?
The UtilityGlen RPM to Hz Calculator connects those numbers instantly. Convert rotational speed between RPM, Hertz, revolutions per second, radians per second and degrees per second — and explore the calculations behind rotating motors, fans, turbines and machinery.
Illustration only · Animation speed is not a measurement
One minute contains exactly 60 seconds. That's the entire secret behind rotational frequency conversion.
A practical collection of converters, calculations, comparisons and export tools in one place — whether you're solving a homework question or checking motor specifications.
Convert between RPM, Hz, RPS, radians per second and degrees per second. Switch directions instantly without manually rearranging the formulas.
Bidirectional conversion
See a rotor spin as you adjust speed. Explore presets, use the speed slider, or pause the motion to examine the relationship between numbers and rotating objects.
Educational motion display
Understand radians per second, degrees per second and the duration of one complete turn. Ideal for exploring the fundamentals of circular motion.
Connected rotational quantities
Enter blade count and effective rotor diameter to calculate theoretical blade-tip velocity, blade-pass frequency and blade-tip travel distance.
Geometry-based results
See how two RPM values compare on a shared visual scale. Useful for understanding percentage differences between motor settings or operating speeds.
Side-by-side speed analysis
Convert lists of up to 500 RPM or Hz values in one go. Copy the results or export them to CSV for spreadsheets, coursework and technical notes.
Multiple values, one workflow
Every conversion starts with a small set of standard rotational relationships. Here are the formulas you can understand, remember and reuse.
Divide the number of revolutions per minute by 60 to find how many full revolutions happen each second.
Example: 1,800 RPM = 30 Hz
Multiply revolutions per second by 60 to get the equivalent number of complete turns per minute.
Example: 50 Hz = 3,000 RPM
One full revolution equals 2π radians. Multiply revolutions per second by 2π to obtain angular velocity.
Example: 600 RPM ≈ 62.83 rad/s
This gives the time required for one full rotation in milliseconds. At zero RPM, the revolution period is undefined.
Example: 1,200 RPM = 50 ms per turn
A handy reference for common rotational speeds. Values are calculated using the standard RPM-to-Hz formula, with angular velocity rounded to two decimal places.
| Speed (RPM) | Frequency (Hz) | Angular velocity | Time per rotation |
|---|---|---|---|
| 60 RPM | 1 Hz | 6.28 rad/s | 1,000 ms |
| 300 RPM | 5 Hz | 31.42 rad/s | 200 ms |
| 600 RPM | 10 Hz | 62.83 rad/s | 100 ms |
| 1,200 RPM | 20 Hz | 125.66 rad/s | 50 ms |
| 1,800 RPM | 30 Hz | 188.50 rad/s | 33.33 ms |
| 3,000 RPM | 50 Hz | 314.16 rad/s | 20 ms |
| 3,600 RPM | 60 Hz | 376.99 rad/s | 16.67 ms |
| 6,000 RPM | 100 Hz | 628.32 rad/s | 10 ms |
These units describe related aspects of rotational motion, but they aren't interchangeable without conversion.
Measures how many complete rotations occur in 60 seconds. Commonly used for motors, fans and rotating machinery.
Measures frequency. For a rotating object, one full revolution is treated as one cycle.
Another way to express rotational frequency. Numerically, RPS equals rotational frequency in Hz.
Measures angular velocity. Each full revolution is 2π radians, or approximately 6.283 radians.
At 60 RPM, the rotor completes one turn each second. That's 1 Hz, 1 RPS, 360 degrees per second, or approximately 6.283 radians per second.
Rotational speed appears everywhere — from desktop cooling fans to industrial equipment. Converting it into frequency makes it easier to work with other rotational measurements.
Calculate the rotational frequency of cooling fans and explore blade-pass frequency using blade count. Compare RPM values to understand the difference between fan-speed settings.
Example: 1,500 RPM = 25 Hz
Convert shaft rotation into cycles per second, radians per second or revolution time. These quantities are useful when analyzing mechanical motion.
Example: 2,400 RPM = 40 Hz
Understand how often a turntable or rotating platform completes a revolution. Lower rotational frequencies can be especially intuitive when expressed as periods.
Example: 33⅓ RPM ≈ 0.556 Hz
Practice circular motion formulas, angular velocity and time-per-revolution calculations. Compare results with the animated rotor for a clearer visual explanation.
Example: 120 RPM = 2 Hz
If a rotor has five blades and completes 20 revolutions every second, each blade passes a fixed point once per revolution. That creates 100 blade passes per second.
You can also calculate the theoretical blade-tip speed when you know the effective rotating diameter:
These are geometric and kinematic calculations. They do not determine actual airflow, motor torque, electrical power, static pressure or acoustic loudness.
A motor supplied with 50 Hz electricity does not necessarily rotate at 50 revolutions per second. Motor pole count, slip and the type of motor matter.
A fan rotating at 20 Hz doesn't necessarily produce a dominant 20 Hz sound. Blade-pass frequency, harmonics, motor noise and airflow effects can contribute different sound frequencies.
RPM tells you rotational speed, not efficiency. Actual cooling, airflow or mechanical output depends on equipment design and operating conditions.
Get an answer in seconds, or use the additional features when you need more detail.
Type your value into the converter, such as 1,500 or 3,600.
Select RPM, Hz, RPS, rad/s or degrees per second.
See the conversion instantly, and adjust decimal precision if needed.
Compare speeds, calculate fan blade values, or export multiple conversions as CSV.
From straightforward conversion formulas to motor frequencies and rotating fan blades, here are answers to some of the most useful questions about RPM and Hertz.
Quick rule: Divide RPM by 60 to get rotational frequency in Hz. Multiply Hz by 60 to get RPM.
Convert RPM to Hz, calculate angular velocity, explore rotating fans and compare multiple speeds from one powerful, browser-based calculator.
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