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Revolutions per Second to Cycles per Second Converter

Convert rps to cps with our free online frequency converter.

Quick Answer

1 Revolutions per Second = 1 cps

Formula: Revolutions per Second ร— conversion factor = Cycles per Second

Use the calculator below for instant, accurate conversions.

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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.

Last verified: February 2026Reviewed by: Sam Mathew, Software Engineer

Revolutions per Second to Cycles per Second Calculator

How to Use the Revolutions per Second to Cycles per Second Calculator:

  1. Enter the value you want to convert in the 'From' field (Revolutions per Second).
  2. The converted value in Cycles per Second will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Frequency category.
  4. Click the swap button (โ‡Œ) to reverse the conversion direction.
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How to Convert Revolutions per Second to Cycles per Second: Step-by-Step Guide

Converting Revolutions per Second to Cycles per Second involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

cps = rps ร— 1

Example Calculation:

1 rps = 1 cps

Disclaimer: For Reference Only

These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.

Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.

Need to convert to other frequency units?

View all Frequency conversions โ†’
๐Ÿ“Š Frequency Table

Print-friendly conversion reference

๐Ÿ“‹ Unit Symbols

Copy rps & cps symbols

What is a Revolutions per Second and a Cycles per Second?

1 RPS = 1 revolution per second = 1 Hz = 60 RPM = 360ยฐ/second = 2ฯ€ radians/second

RPS vs RPM vs Hz

Understanding the relationship between rotational measurements:

  • RPM = cycles per MINUTE (most common for machinery)
  • RPS = cycles per SECOND (more convenient for high speeds)
  • Hz = cycles per SECOND (generic frequency term)
  • Conversion: 1 RPS = 60 RPM = 1 Hz (numerically identical to Hz)
  • Why three units? Different fields and speed ranges use different conventions

1 cps = 1 Hz = 1 cycle per second = 1 complete oscillation per second

Note: The Revolutions per Second is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Cycles per Second belongs to the imperial/US customary system.

History of the Revolutions per Second and Cycles per Second

Before 1960: "Cycles per second" was the standard term

  • Common abbreviations: c/s, c.p.s., cps, ~/s

1960: Renamed to "hertz" (Hz)

  • Honors Heinrich Hertz (1857-1894)
  • Adopted at 11th CGPM (General Conference on Weights and Measures)
  • Simplified terminology and standardized notation

Why the change?

  • Shorter, more convenient
  • Honors a pioneering physicist
  • Consistent with other SI units named after scientists (ampere, watt, volt, etc.)
  • International standardization

Common Uses and Applications: rps vs cps

Explore the typical applications for both Revolutions per Second (imperial/US) and Cycles per Second (imperial/US) to understand their common contexts.

Common Uses for rps

High-Speed Turbines: Gas turbines, steam turbines, hydroelectric turbines (hundreds to thousands of RPS). Centrifuges: Ultra-high-speed laboratory and industrial centrifuges for separation. Physics: Rotational dynamics, angular velocity, kinetic energy calculations. Machinery: High-speed motors, spindles, grinders, pumps.

When to Use cps

(Historical & Current)

Historical Technical Documents: Pre-1960 radio, electronics, and acoustics literature - understanding older specs. Some Fields Still Use "cycles": Audio engineering may say "cycles" colloquially. Education: Teaching frequency concepts before introducing Hz notation. Older Equipment: Vintage test equipment labeled in cps. Legacy Systems: Industrial control systems that predate 1960 standardization.

Additional Unit Information

About Revolutions per Second (rps)

How do I convert RPS to RPM?

Formula: RPM = RPS ร— 60

Examples:

  • 1 RPS = 60 RPM
  • 10 RPS = 600 RPM
  • 120 RPS = 7,200 RPM (hard drive)

Reverse: RPS = RPM รท 60

RPS to RPM converter โ†’

Is RPS the same as Hz?

Yes, numerically: 1 RPS = 1 Hz

Different context:

  • RPS: Rotational motion (spinning, revolving)
  • Hz: General frequency (oscillations, waves, vibrations)

Example:

  • A wheel spinning at 10 RPS = 10 Hz rotational frequency
  • A sound wave at 440 Hz = 440 oscillations per second (not rotation)

RPS to Hz converter โ†’

How do I convert RPS to radians per second?

Formula: rad/s = RPS ร— 2ฯ€

Examples:

  • 1 RPS = 2ฯ€ rad/s โ‰ˆ 6.283 rad/s
  • 10 RPS = 62.83 rad/s
  • 100 RPS = 628.3 rad/s

One full revolution = 2ฯ€ radians = 360 degrees

RPS to rad/s converter โ†’

When should I use RPS instead of RPM?

Use RPS when:

  • High-speed applications (>6,000 RPM = >100 RPS)
  • Physics calculations (frequency, angular velocity)
  • Scientific contexts
  • Values are more convenient (e.g., 120 RPS vs 7,200 RPM)

Use RPM when:

  • Automotive (standard for engines)
  • General machinery
  • Industry standards require RPM
  • Lower speeds (<6,000 RPM)

Both are correct; choose based on convention and convenience.

Conversion Table: Revolutions per Second to Cycles per Second

Revolutions per Second (rps)Cycles per Second (cps)
0.50.5
11
1.51.5
22
55
1010
2525
5050
100100
250250
500500
1,0001,000

People Also Ask

How do I convert Revolutions per Second to Cycles per Second?

To convert Revolutions per Second to Cycles per Second, enter the value in Revolutions per Second in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our frequency converter page to convert between other units in this category.

Learn more โ†’

What is the conversion factor from Revolutions per Second to Cycles per Second?

The conversion factor depends on the specific relationship between Revolutions per Second and Cycles per Second. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.

Can I convert Cycles per Second back to Revolutions per Second?

Yes! You can easily convert Cycles per Second back to Revolutions per Second by using the swap button (โ‡Œ) in the calculator above, or by visiting our Cycles per Second to Revolutions per Second converter page. You can also explore other frequency conversions on our category page.

Learn more โ†’

What are common uses for Revolutions per Second and Cycles per Second?

Revolutions per Second and Cycles per Second are both standard units used in frequency measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our frequency converter for more conversion options.

For more frequency conversion questions, visit our FAQ page or explore our conversion guides.

Helpful Conversion Guides

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๐Ÿ“š How to Convert Units

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๐Ÿ”ข Conversion Formulas

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โš–๏ธ Metric vs Imperial

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โš ๏ธ Common Mistakes

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All Frequency Conversions

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Other Frequency Units and Conversions

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Verified Against Authority Standards

All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.

NIST Reference on Constants, Units and Uncertainty

National Institute of Standards and Technology โ€” Fundamental physical constants and unit conversions

BIPM SI Units

Bureau International des Poids et Mesures โ€” International System of Units (SI) definitions and standards

ISO 80000

International Organization for Standardization โ€” Quantities and units international standards series

Last verified: February 19, 2026