HomeConvertersFrequencyRadian per Second to Hertz conversion
Frequency conversion

Radian per Second to Hertz conversion

Convert angular frequency in rad/s to hertz (Hz). Free online tool — no sign-up. Clear formulas and worked examples. Runs locally in your browser.

Instant result
Result
—

Enter values to convert.

Inputs —
Mode —
Formula —

Formulas

Core equations used by this converter.

rad/s → Hzf = ω ÷ (2π)
Exact definition1 cycle = 1 turn = 2π rad
Hz → rad/sω = 2πf
iThe two rates use the same one-second time base. The factor 2π is exact and displayed results may be rounded.

How to use

1

Choose rad/s → Hz or Hz → rad/s

Use the tabs to switch direction. Forward mode needs rad/s; reverse uses the opposite unit.

2

Enter the value

Type a non-negative value in the active unit field.

3

Convert and read the result

Use Convert or let the result update automatically.

Example conversions

Common values with formula and result.

ϟ

1 rad/s to Hz

1 rad/s to Hz

1 / (2π) ≈ 0.159154943 Hz
1 / (2π) ≈ 0.159154943 Hz
ϟ

6.283185307 rad/s to Hz

6.283185307 rad/s to Hz

6.283185307 / (2π) ≈ 1 Hz
≈ 1 Hz
ϟ

314.159 rad/s to Hz

314.159 rad/s to Hz

314.159 / (2π) ≈ 50 Hz
314.159 / (2π) ≈ 50 Hz
ϟ

376.991 rad/s to Hz

376.991 rad/s to Hz

376.991 / (2π) ≈ 60 Hz
376.991 / (2π) ≈ 60 Hz

Radian per Second to Hertz conversion specification

Version 1.1.1 · Engine tested

Calculation status
  • Engine tested 4 published cases
  • Named expert review Not performed
  • Calculation version 1.1.1

Review policy

Definition
One full cycle corresponds to one turn, or 2π radians. The calculator relates cyclic frequency in Hz to angular frequency in rad/s for the same periodic motion.
What it calculates
Value between rad/s and Hz. Switch direction with the converter tabs.
Inputs
  • rad/s (rad/s) or reverse unit (Hz)
Outputs
  • Converted value in Hz or rad/s
Formula
f = ω ÷ (2π) · ω = 2πf
Radian/sec to hertz conversion table
rad/sHertz (Hz) (≈)
1 rad/s0.159155 Hz
6.283185 rad/s1 Hz
62.83185 rad/s10 Hz
314.1593 rad/s50 Hz
376.9911 rad/s60 Hz
628.3185 rad/s100 Hz
2764.602 rad/s440 Hz
6283.185 rad/s1000 Hz
Assumptions
  • Conversion runs locally in the browser; values are not uploaded.
  • Each cycle corresponds to one full turn of phase.
Units
  • rad/s → Hz
  • Hz → rad/s
Boundary conditions
  • Empty or non-numeric input yields no valid result.
  • Frequency magnitudes must be nonnegative.
Example
1 rad/s → 0.159155 Hz
Validation cases
  • 1 rad/s → 0.15915494 Hz
  • 10 rad/s → 1.5915494 Hz
  • 50 rad/s → 7.9577472 Hz
  • 100 rad/s → 15.915494 Hz
Sources
  • NIST SP 330, Section 2 (https://www.nist.gov/pml/special-publication-330/sp-330-section-2)
  • CalculatorX UUCE turn and radian definitions, snapshot 0.3.0-preview.3
Calculation version
1.1.1

Background

Interpretation and common distinctions.

Use the converter tabs to switch direction when available. Results for Radian per Second to Hertz conversion update locally in your browser.

hz Hertz to radian/sec › hz Hertz to kilohertz › hz Kilohertz to hertz ›

Frequently asked questions

Key distinctions behind the conversion.

How do you convert using Radian per Second to Hertz conversion?

Divide the angular rate by 2π. Example: 1 rad/s to Hz → 1 / (2π) ≈ 0.159154943 Hz.

Can I switch direction?

Use the converter tabs when available, or open the related reverse tool from Related.

Does this run online or locally?

Calculation runs locally in your browser. Values are not uploaded.

How precise are the results?

Results follow the formulas on this page. Round to the precision your use case needs.