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Hertz to Cycles per Second Converter

Convert hertz to cps with our free online frequency converter.

Quick Answer

1 Hertz = 1 cps

Formula: Hertz × conversion factor = Cycles per Second

Use the calculator below for instant, accurate conversions.

Our Accuracy Guarantee

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

Hertz to Cycles per Second Calculator

How to Use the Hertz to Cycles per Second Calculator:

  1. Enter the value you want to convert in the 'From' field (Hertz).
  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 (⇌) to reverse the conversion direction.
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How to Convert Hertz to Cycles per Second: Step-by-Step Guide

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

Formula:

cps = Hz × 1

Example Calculation:

1 Hz = 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?

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📋 Unit Symbols

Copy Hz & cps symbols

What is a Hertz and a Cycles per Second?

1 Hz = 1 cycle per second = 1/second = s⁻¹

Metric prefixes:

  • 1,000 Hz = 1 kHz (kilohertz)
  • 1,000,000 Hz = 1 MHz (megahertz)
  • 1,000,000,000 Hz = 1 GHz (gigahertz)

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

Note: The Hertz 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 Hertz 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: hertz vs cps

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

Common Uses for hertz

AC Power: 50 Hz (Europe/Asia) or 60 Hz (Americas) - frequency of alternating current electricity. Audio: 20 Hz - 20,000 Hz (20 kHz) is the human hearing range. Display Refresh: Monitor and TV refresh rates (60 Hz, 120 Hz, 144 Hz, 240 Hz). Vibrations: Engine vibrations, seismic waves, mechanical oscillations measured in Hz.

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 Hertz (Hz)

How do I convert Hz to kHz?

Formula: kHz = Hz ÷ 1,000

Examples:

  • 1,000 Hz = 1 kHz
  • 440 Hz = 0.44 kHz (A4 musical note)
  • 20,000 Hz = 20 kHz (upper hearing limit)
  • 100 Hz = 0.1 kHz

Hz to kHz converter →

What is 60 Hz?

60 Hz is the AC power frequency in North America, parts of South America, and some Asian countries. The electricity alternates direction 60 times per second.

Also used for:

  • Standard monitor refresh rate (60 frames/second)
  • Fluorescent light flicker frequency
  • Basis for NTSC video standard

Countries using 60 Hz: USA, Canada, Mexico, Brazil, Japan (East), Saudi Arabia, Philippines, Taiwan

How many Hz can humans hear?

Human hearing range: 20 Hz - 20,000 Hz (20 kHz)

Age-dependent hearing:

  • Young children: 20 Hz - 20 kHz (full range)
  • Adults (25+): 20 Hz - 16 kHz
  • Adults (50+): 20 Hz - 12 kHz
  • Adults (70+): 20 Hz - 8 kHz

Sound categories:

  • Infrasound: <20 Hz (inaudible to humans)
  • Audible range: 20-20,000 Hz
  • Ultrasound: >20,000 Hz (inaudible to humans)

Speech range: 300-3,400 Hz (telephone bandwidth)

Hz to kHz converter →

Why is AC power 50 Hz or 60 Hz?

Historical reasons:

  • Early generators were designed for efficient transformer operation
  • 50/60 Hz prevents visible light flicker (persistence of vision)
  • Low enough for simple transformer design
  • High enough to prevent flicker

50 Hz vs 60 Hz:

  • 50 Hz: Slightly more efficient for power transmission
  • 60 Hz: Motors are slightly more compact and lighter
  • Both work well for incandescent lights, motors, and transformers

The split is historical - different pioneers chose different standards in the 1890s, and infrastructure locked in these frequencies.

How do I convert Hz to RPM?

Formula: RPM = Hz × 60

Examples:

  • 50 Hz = 3,000 RPM (synchronous motor speed at 50 Hz)
  • 60 Hz = 3,600 RPM (synchronous motor speed at 60 Hz)
  • 1 Hz = 60 RPM

Hz to RPM converter →

Conversion Table: Hertz to Cycles per Second

Hertz (Hz)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 Hertz to Cycles per Second?

To convert Hertz to Cycles per Second, enter the value in Hertz 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 →

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

The conversion factor depends on the specific relationship between Hertz 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 Hertz?

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

Learn more →

What are common uses for Hertz and Cycles per Second?

Hertz 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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📚 How to Convert Units

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🔢 Conversion Formulas

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⚖️ Metric vs Imperial

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⚠️ Common Mistakes

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Other Frequency Units and Conversions

Explore other frequency units and their conversion options:

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 — Fundamental physical constants and unit conversions

BIPM SI Units

Bureau International des Poids et Mesures — International System of Units (SI) definitions and standards

ISO 80000

International Organization for Standardization — Quantities and units international standards series

Last verified: February 19, 2026