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An RPM to radians per second converter converts rotational speed between revolutions per minute (RPM) — used for engines and motors — and rad/s, the SI unit for angular velocity.

Công thức

rad/s = rpm × (π / 30) ≈ rpm × 0.10472
rpm
Revolutions per minute (rpm) — Rotational speed unit
rads
Radians per second (rad/s) — SI angular velocity unit

Hướng dẫn từng bước

  1. 11 revolution = 2π radians
  2. 21 RPM = 2π ÷ 60 rad/s = 0.10472 rad/s
  3. 3rad/s = RPM × (2π ÷ 60)
  4. 4RPM = rad/s × (60 ÷ 2π)

Ví dụ có lời giải

đầu vào
1,000 RPM (engine idle)
Kết quả
104.72 rad/s
đầu vào
3,000 RPM (typical engine)
Kết quả
314.16 rad/s
đầu vào
60 RPM (1 revolution/second)
Kết quả
6.283 rad/s = 2π

Câu hỏi thường gặp

How many radians per second is 1,800 rpm?

1,800 rpm × 0.10472 ≈ 188.5 rad/s. A spindle or motor speed reference.

What is a radian?

One radian is the angle where arc length equals radius. 1 full rotation = 2π radians ≈ 6.283 rad.

Why do engineers use both rpm and rad/s?

rpm is intuitive for machinists; rad/s is SI standard for physics and control systems. Convert as needed.

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