RPM to Hz Calculator

Convert RPM to Hertz and back, explore angular velocity, calculate blade-pass frequency and blade-tip speed, and compare rotational speeds.

Precise rotational conversions · Browser only

From revolutions to real understanding.

One converter for fans, electric motors, turntables, turbines, and engineering exercises. Enter a speed in any supported unit and see the connected physics instantly.

RPM ↔ HzRadians / secondBlade-pass frequencyTip speed

Visual rotation · scaled for readability

THE CONVERTER

Convert any rotational speed

Instant

LIVE BREAKDOWN

At a glance

Revolutions / min

1,200

RPM

Revolutions / sec

20

Hz / RPS

Angular velocity

125.66

rad/s

Revolution period

50

milliseconds / rev

Key formula

Hz = RPM ÷ 60

Hertz here means rotational cycles per second, not acoustic pitch.

Fan blade calculations

Go beyond Hz with blades and rotating diameter.

Blade-pass frequency

100

Hz

Blade-tip speed

7.54

m/s

Blade passes / min

6,000

Tip travel / min

452.39

m

Uses effective blade-tip diameter, not necessarily the fan's external frame size. Results are theoretical rotational quantities, not airflow or noise predictions.

Speed comparison

Compare two rotational speeds on the same scale.

Speed A1,200 RPM
Speed B1,800 RPM

B is 50% faster than A.

FAST WORKFLOW

Batch RPM ↔ Hz converter

Paste numbers separated by commas, spaces or new lines. Up to 500 values.

Quick conversion reference

Common rotational speeds with exact formula-based conversion.

RPMHz / RPSrad/sPeriod (ms)

How the conversion works

1

Start with RPM

RPM means how many complete revolutions occur in one minute.

2

Divide by 60

There are 60 seconds in a minute, so RPM ÷ 60 gives cycles per second.

3

Explore related units

Multiply Hz by 2π for rad/s, or take 1000 ÷ Hz for the revolution period in ms.

Hz here refers to rotation frequency. Blade-pass frequency and acoustic sound frequency are different concepts.
ROTATIONAL MATH, MADE SIMPLE

From RPM to Hz. From Numbers to Understanding.

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.

RPM ↔ Hz Angular Velocity Blade Frequency Batch Conversions
Rotating mechanism illustration showing RPM to Hz conversion
ROTATIONAL SPEED 1,200 RPM
EQUIVALENT 20 Hz

Illustration only · Animation speed is not a measurement

THE 60-SECOND CONNECTION

One Simple Rule Connects RPM and Hz

One minute contains exactly 60 seconds. That's the entire secret behind rotational frequency conversion.

RPM
3,000
per minute
÷ 60
Hz
50
per second
MORE THAN A BASIC CONVERTER

Everything You Need for Rotational Speed Calculations

A practical collection of converters, calculations, comparisons and export tools in one place — whether you're solving a homework question or checking motor specifications.

CONVERSION

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

VISUAL

Animated Rotation Visualizer

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

PHYSICS

Angular Velocity & Revolution Time

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

FAN SCIENCE

Blade-Tip Speed & Blade Frequency

Enter blade count and effective rotor diameter to calculate theoretical blade-tip velocity, blade-pass frequency and blade-tip travel distance.

Geometry-based results

COMPARE

Compare Two Rotational Speeds

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

WORKFLOW

Batch Conversion & CSV Export

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

THE MATH BEHIND THE MOTION

RPM to Hz Formulas, Explained Simply

Every conversion starts with a small set of standard rotational relationships. Here are the formulas you can understand, remember and reuse.

01 / BASIC CONVERSION

RPM to Hz

Frequency (Hz) = RPM / 60

Divide the number of revolutions per minute by 60 to find how many full revolutions happen each second.

Example: 1,800 RPM = 30 Hz

02 / REVERSE CONVERSION

Hz to RPM

RPM = Frequency (Hz) × 60

Multiply revolutions per second by 60 to get the equivalent number of complete turns per minute.

Example: 50 Hz = 3,000 RPM

03 / ANGULAR MOTION

RPM to Radians per Second

rad/s = RPM × 2π / 60

One full revolution equals 2π radians. Multiply revolutions per second by 2π to obtain angular velocity.

Example: 600 RPM ≈ 62.83 rad/s

04 / TIME PER TURN

Revolution Period

Period (ms) = 60,000 / RPM

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

QUICK LOOKUP

RPM to Hz Conversion Chart

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.

Common RPM values with rotational frequency, angular velocity and revolution period
Speed (RPM) Frequency (Hz) Angular velocity Time per rotation
60 RPM1 Hz6.28 rad/s1,000 ms
300 RPM5 Hz31.42 rad/s200 ms
600 RPM10 Hz62.83 rad/s100 ms
1,200 RPM20 Hz125.66 rad/s50 ms
1,800 RPM30 Hz188.50 rad/s33.33 ms
3,000 RPM50 Hz314.16 rad/s20 ms
3,600 RPM60 Hz376.99 rad/s16.67 ms
6,000 RPM100 Hz628.32 rad/s10 ms
This chart refers to mechanical rotational frequency. It does not directly represent electrical supply frequency or sound pitch.
KNOW YOUR UNITS

RPM, Hz, RPS and rad/s: What's the Difference?

These units describe related aspects of rotational motion, but they aren't interchangeable without conversion.

RPM
Revolutions / Minute

Measures how many complete rotations occur in 60 seconds. Commonly used for motors, fans and rotating machinery.

Hz
Cycles / Second

Measures frequency. For a rotating object, one full revolution is treated as one cycle.

RPS
Revolutions / Second

Another way to express rotational frequency. Numerically, RPS equals rotational frequency in Hz.

rad/s
Radians / Second

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.

WHERE IT MATTERS

Where Are RPM to Hz Calculations Useful?

Rotational speed appears everywhere — from desktop cooling fans to industrial equipment. Converting it into frequency makes it easier to work with other rotational measurements.

PC Cooling Fans & Ventilation

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

Motors & Mechanical Drives

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

Turntables & Rotating Platforms

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

Physics & Engineering Education

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

GO BEYOND RPM

What Can Fan Blades Tell Us About Frequency?

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.

Blade-pass frequency = blades × RPM / 60

You can also calculate the theoretical blade-tip speed when you know the effective rotating diameter:

Tip speed = π × diameter (m) × RPM / 60

These are geometric and kinematic calculations. They do not determine actual airflow, motor torque, electrical power, static pressure or acoustic loudness.

EXAMPLE CONFIGURATION

Five-Blade Rotor

Rotor speed
1,200 RPM
Rotation frequency
20 Hz
Blade-pass frequency
100 Hz
Tip speed at 120 mm
7.54 m/s
IMPORTANT DISTINCTIONS

Three RPM-to-Hz Mistakes Worth Avoiding

Electrical Hz Isn't Always Shaft Hz

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.

Rotation Frequency Isn't Sound Pitch

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.

Higher RPM Doesn't Guarantee Performance

RPM tells you rotational speed, not efficiency. Actual cooling, airflow or mechanical output depends on equipment design and operating conditions.

EASY WORKFLOW

How to Use the RPM to Hz Calculator

Get an answer in seconds, or use the additional features when you need more detail.

01

Enter a Speed

Type your value into the converter, such as 1,500 or 3,600.

02

Choose Units

Select RPM, Hz, RPS, rad/s or degrees per second.

03

Read the Result

See the conversion instantly, and adjust decimal precision if needed.

04

Explore Further

Compare speeds, calculate fan blade values, or export multiple conversions as CSV.

FREQUENTLY ASKED QUESTIONS

RPM to Hz Questions, Answered Clearly.

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.

What is an RPM to Hz calculator?
An RPM to Hz calculator converts rotational speed in revolutions per minute into revolutions per second, expressed in Hertz. UtilityGlen also supports reverse conversions and related units such as radians per second and degrees per second.
How do you convert RPM to Hz?
Divide RPM by 60. For example, 1,200 RPM divided by 60 equals 20 Hz. That means the rotating object completes 20 full revolutions every second.
How do you convert Hz to RPM?
Multiply the rotational frequency in Hz by 60. For example, 30 Hz multiplied by 60 equals 1,800 RPM.
How many Hz is 1,000 RPM?
1,000 RPM equals approximately 16.667 Hz. The exact value is 1,000 divided by 60, or 16⅔ revolutions per second.
How many RPM is 50 Hz?
A mechanical rotational frequency of 50 Hz equals 3,000 RPM. This does not mean every motor supplied with 50 Hz electricity rotates at 3,000 RPM, because its actual shaft speed depends on motor design and operating conditions.
How many RPM is 60 Hz?
A mechanical rotation frequency of 60 Hz equals 3,600 RPM. For electric motors, 60 Hz supply frequency alone is insufficient to determine actual shaft RPM.
Are Hz and RPS the same?
When one complete revolution is treated as one cycle, rotational frequency in Hertz has the same numerical value as revolutions per second (RPS). For example, 10 RPS equals 10 Hz.
How do you convert RPM to radians per second?
Multiply RPM by 2π and divide by 60. Since each complete turn is 2π radians, 600 RPM equals approximately 62.83 radians per second.
How do I calculate the time for one revolution?
Divide 60 by RPM to obtain seconds per revolution, or divide 60,000 by RPM to obtain milliseconds. At 1,200 RPM, one revolution takes 50 milliseconds. At 0 RPM, there is no finite revolution period.
What is blade-pass frequency?
Blade-pass frequency is the number of times blades pass a fixed position each second. Calculate it by multiplying the number of blades by RPM and dividing by 60. A five-blade fan operating at 1,200 RPM has a blade-pass frequency of 100 Hz.
Can this calculator predict fan noise or airflow?
No. RPM, diameter and blade count allow certain rotational calculations, but they do not determine real airflow in CFM, static pressure or noise level in dBA. Those quantities require additional fan-specific measurements or validated models.
Does a 50 Hz electrical motor run at 50 rotations per second?
Not necessarily. Electrical frequency is different from mechanical shaft frequency. For example, the synchronous speed of an AC motor depends on the number of magnetic poles: synchronous RPM = 120 × electrical frequency ÷ pole count. Induction motors typically run somewhat below synchronous speed because of slip.
Can I convert multiple RPM values at once?
Yes. UtilityGlen includes a batch RPM and Hz converter for lists of up to 500 values. You can copy the results or download a CSV file for further work.
Does the animated rotor spin at the exact real-world RPM?
The animation is a visual aid and may scale rotational speed for readability. At very high RPM, actual blade movement can appear stationary or distorted on ordinary displays due to aliasing. Numerical calculations use the selected speed values.
Is the RPM to Hz calculator free?
Yes. UtilityGlen provides a browser-based rotational speed converter, related calculations, visualizations and batch conversion tools without requiring dedicated engineering software.
CONVERT SMARTER

Every Revolution Counts. Make Every Calculation Easy.

Convert RPM to Hz, calculate angular velocity, explore rotating fans and compare multiple speeds from one powerful, browser-based calculator.

Start Converting
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