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Angular Velocity Converter

RPM • rad/s • deg/s • rev/s

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⚡ Quick Conversions — tap one

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How to Use the Angular Velocity Converter

Enter a value — a positive rotation speed.
Select From unit — RPM, rad/s, deg/s, rev/s, and more.
Select To unit — the unit you want the answer in.
Read the result — plus a grid in RPM, rad/s, deg/s and rev/s.
Use swap (⇄) — flip the conversion direction instantly.

Why Use This Angular Velocity Converter

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Exact 2π Factor

Uses the exact relationship 1 revolution = 2π radians = 360°, so RPM ↔ rad/s conversions are mathematically precise.

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Engines & Motors

Perfect for engine RPM, motor specs, power-tool speeds, hard-drive RPM, and physics rotational problems.

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100% Private

All conversions run in your browser — no server, no account, nothing sent anywhere.

Angular Velocity Guide — RPM, rad/s & Degrees per Second

Angular velocity describes how fast something rotates. Engineers and machinists usually think in RPM (revolutions per minute), physicists work in radians per second (rad/s), and many control and graphics contexts use degrees per second (°/s). They all describe the same thing through one fixed relationship: one full revolution = 360 degrees = 2π radians (about 6.2832 radians).

The core conversions: to go from RPM to rad/s, multiply by 2π and divide by 60 (so 1 RPM = 0.10472 rad/s). To go from RPM to degrees per second, multiply by 6 (1 RPM = 6°/s, since 360° per minute ÷ 60 seconds). To go from RPM to revolutions per second, divide by 60. Reversing any of these just inverts the factor: 1 rad/s = 9.549 RPM, and 1 rev/s = 60 RPM.

Real-world reference points: a car engine idles around 600–900 RPM and redlines at 6,000–8,000 RPM. A 7,200 RPM hard drive spins 120 times every second. A typical cordless drill runs 0–1,500 RPM, an angle grinder 10,000–11,000 RPM, and a router up to 30,000 RPM. The Earth rotates once per day — about 0.0007 RPM, or 7.29 × 10⁻⁵ rad/s. A vinyl record plays at 33⅓ RPM.

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Engines

Car idle: 600–900 RPM. Cruising: 2,000–2,500 RPM. Redline: 6,000–8,000 RPM. F1 engine: up to 15,000 RPM. 3,000 RPM = 314 rad/s = 50 rev/s = 18,000 °/s.

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Power Tools

Drill: 0–1,500 RPM. Circular saw: 5,000 RPM. Angle grinder: 10,000–11,000 RPM. Router: up to 30,000 RPM. Dremel: up to 35,000 RPM.

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Spinning Disks

Hard drives: 5,400 / 7,200 / 10,000 / 15,000 RPM. 7,200 RPM = 120 rev/s. Vinyl: 33⅓, 45, or 78 RPM. CD: 200–500 RPM (variable).

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The Math

1 rev = 2π rad = 360°. 1 RPM = 0.10472 rad/s = 6°/s = 1/60 rev/s. 1 rad/s = 9.549 RPM. 1 rev/s = 60 RPM = 6.283 rad/s = 360°/s.

Angular Velocity FAQ

How do I convert RPM to rad/s? ▾

Multiply RPM by 2π and divide by 60, which equals multiplying by about 0.10472. So 1,000 RPM = 1,000 × 0.10472 = 104.72 rad/s. This works because one revolution is 2π radians and there are 60 seconds in a minute. To convert back, multiply rad/s by 9.5493 to get RPM.

How do I convert RPM to degrees per second? ▾

Multiply RPM by 6. Each revolution is 360°, and there are 60 seconds in a minute, so 360 ÷ 60 = 6 degrees per second for every 1 RPM. Example: 60 RPM = 360°/s (one full turn every second), and 100 RPM = 600°/s. To reverse, divide degrees per second by 6 to get RPM.

What is angular velocity vs RPM? ▾

RPM (revolutions per minute) is one common unit of angular velocity — the general quantity for how fast something rotates. In physics, angular velocity (symbol ω, omega) is normally expressed in radians per second because it plugs directly into equations like linear speed v = ω × r. RPM is the everyday engineering unit; rad/s is the scientific one. They measure the same thing.

How fast is a 7,200 RPM hard drive spinning? ▾

7,200 RPM equals 120 revolutions per second (7,200 ÷ 60), which is 753.98 rad/s or 43,200 degrees per second. That means the platter completes a full rotation every 8.33 milliseconds. This high rotational speed is why mechanical hard drives can read data quickly but also why they generate heat and are sensitive to physical shock while running.

How do I find surface speed from RPM? ▾

Convert RPM to rad/s, then multiply by the radius: linear speed v = ω × r. For example, a wheel of radius 0.3 m spinning at 500 RPM has ω = 500 × 0.10472 = 52.36 rad/s, so v = 52.36 × 0.3 = 15.7 m/s (about 35 mph). This converter gives you the rad/s value you need for that calculation.