Revolutions per Second (rps) - Unit Information & Conversion
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What is a Revolutions per Second?
RPS (revolutions per second) measures rotational speed as the number of complete rotations in one second. Equal to hertz (Hz) for rotational motion. Used for high-speed machinery, turbines, and physics calculations.
History of the Revolutions per Second
Direct measurement of rotational frequency. Mathematically equivalent to hertz, but RPS emphasizes rotational context while Hz is general frequency. Used in engineering and physics for high-speed rotating systems.
Quick Answer
What is RPS? RPS (revolutions per second) measures rotational speed as complete rotations in one second. 1 RPS = 1 Hz = 60 RPM. Used for high-speed turbines, centrifuges, and machinery where per-second measurement is more convenient than RPM. 1 RPS = 1 Hz = 60 RPM. Use our frequency converter for instant conversions.
Key Facts: Revolutions per Second
| Property | Value |
|---|---|
| Symbol | rps |
| Quantity | Frequency |
| System | Metric/SI Derived |
| Derived from | Hertz |
| Category | Frequency |
| Standard Body | NIST / ISO |
Definition
1 RPS = 1 revolution per second = 1 Hz = 60 RPM = 360°/second = 2π 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
Common Uses
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.
Real-World Examples
Industrial High-Speed Machinery
Systems where RPS notation is more common than RPM:
| Equipment | Typical Speed | RPS | RPM | Frequency (Hz) | Power/Purpose |
|---|---|---|---|---|---|
| Gas turbine (small) | 15,000-30,000 | 250-500 | 15,000-30,000 | 250-500 Hz | Electricity generation |
| Gas turbine (large) | 3,000-6,000 | 50-100 | 3,000-6,000 | 50-100 Hz | Power plant |
| Jet engine | 10,000-30,000 | 167-500 | 10,000-30,000 | 167-500 Hz | Aircraft thrust |
| Steam turbine | 1,500-5,000 | 25-83 | 1,500-5,000 | 25-83 Hz | Power generation |
| Hydroelectric turbine | 250-1,000 | 4-17 | 250-1,000 | 4-17 Hz | Water power |
| Compressor turbine | 5,000-50,000 | 83-833 | 5,000-50,000 | 83-833 Hz | Air compression |
Note: High-speed turbines use RPS to avoid unwieldy 5-digit RPM numbers
Ultra-High-Speed Centrifuges
Laboratory and industrial separation equipment:
| Centrifuge Type | Speed | RPS | RPM | G-Force | Application |
|---|---|---|---|---|---|
| Tabletop centrifuge | 1,000-3,000 | 17-50 | 1,000-3,000 | 10-500 g | General lab |
| Microcentrifuge | 5,000-10,000 | 83-167 | 5,000-10,000 | 500-5,000 g | DNA/cells |
| Ultracentrifuge | 50,000-100,000 | 833-1,667 | 50,000-100,000 | 100,000-500,000 g | Protein study |
| Analytical ultracentrifuge | 100,000-150,000 | 1,667-2,500 | 100,000-150,000 | 500,000-1,000,000 g | Molecular analysis |
Relationship: G-force = (RPS)² × radius(cm) × 0.0399
Precision Machine Tools
Spindle speeds in manufacturing:
| Tool Type | Typical Speed | RPS | RPM | Purpose |
|---|---|---|---|---|
| Manual lathe | 500-3,000 | 8-50 | 500-3,000 | Metal turning |
| CNC mill (general) | 1,000-10,000 | 17-167 | 1,000-10,000 | Precision milling |
| CNC mill (high-speed) | 10,000-50,000 | 167-833 | 10,000-50,000 | Aluminum, plastics |
| Dental drill | 20,000-40,000 | 333-667 | 20,000-40,000 | Tooth work |
| Industrial grinder | 5,000-15,000 | 83-250 | 5,000-15,000 | Material removal |
| Polishing wheel | 3,000-5,000 | 50-83 | 3,000-5,000 | Surface finishing |
Speed advantage: Higher RPS = faster material removal, better finish
Speed Comparison: RPS vs RPM
When to use each unit:
| Application | Typical Speed | Better As | Why |
|---|---|---|---|
| Car engine | 1,000-7,000 RPM | 17-117 RPS | RPM is standard (smaller numbers) |
| Hard drive | 5,400-7,200 RPM | 90-120 RPS | Either works (RPM is conventional) |
| Turbine | 10,000-50,000 RPM | 167-833 RPS | RPS avoids 5-digit numbers |
| Jet engine | 20,000-50,000 RPM | 333-833 RPS | RPS is clearer for this range |
| Tiny motor | 100 RPM | 1.67 RPS | RPM is better (whole numbers) |
| Laboratory centrifuge | 100,000 RPM | 1,667 RPS | RPS is more manageable |
Rule of thumb: Use RPS when base number would exceed 10,000 RPM
Converting Between Units
Quick reference table:
| Speed | RPS | RPM | Hz |
|---|---|---|---|
| Very slow | 0.5 | 30 | 0.5 |
| Slow | 10 | 600 | 10 |
| Medium | 50 | 3,000 | 50 |
| Fast | 100 | 6,000 | 100 |
| Very fast | 500 | 30,000 | 500 |
| Extremely fast | 1,000 | 60,000 | 1,000 |
| Ultra-high | 2,000 | 120,000 | 2,000 |
Revolutions per Second Conversion Formulas
To Hertz:
To Millihertz:
To Kilohertz:
To Megahertz:
To Gigahertz:
To Terahertz:
To Revolutions per Minute:
To Beats per Minute:
To Cycles per Second:
To Radians per Second:
Frequently Asked Questions
Formula: RPM = RPS × 60 Examples:
- 1 RPS = 60 RPM
- 10 RPS = 600 RPM
- 120 RPS = 7,200 RPM (hard drive) Reverse: RPS = RPM ÷ 60 RPS to RPM converter →
Convert Revolutions per Second
Need to convert Revolutions per Second to other frequency units? Use our conversion tool.
Revolutions per Second Quick Info
Related Frequency Units
Popular Conversions
- Revolutions per Second to HertzConvert →1 rps = 1 Hz
- Revolutions per Second to MillihertzConvert →1 rps = 1000 mHz
- Revolutions per Second to KilohertzConvert →1 rps = 0.001 kHz
- Revolutions per Second to MegahertzConvert →1 rps = 0.000001 MHz
- Revolutions per Second to GigahertzConvert →1 rps = 1.0000e-9 GHz
- Revolutions per Second to TerahertzConvert →1 rps = 1.0000e-12 THz