rpm to rad/s

Convert rpm to rad/s instantly — with a table, common frequency values, and a live calculator.

1 rpm equals 0.105 rad/s.

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Convert any frequency

Result (rad/s)0.105 rad/s

rpm to rad/s table

rpmrad/s
1 rpm0.105 rad/s
2 rpm0.209 rad/s
3 rpm0.314 rad/s
5 rpm0.524 rad/s
10 rpm1.05 rad/s
15 rpm1.57 rad/s
20 rpm2.09 rad/s
25 rpm2.62 rad/s
30 rpm3.14 rad/s
40 rpm4.19 rad/s
50 rpm5.24 rad/s
60 rpm6.28 rad/s
75 rpm7.85 rad/s
90 rpm9.42 rad/s
100 rpm10.47 rad/s
120 rpm12.57 rad/s
150 rpm15.71 rad/s
200 rpm20.94 rad/s
250 rpm26.18 rad/s
300 rpm31.42 rad/s
400 rpm41.89 rad/s
500 rpm52.36 rad/s

rad/s to rpm (reverse)

rad/srpm
1 rad/s9.55 rpm
2 rad/s19.1 rpm
3 rad/s28.65 rpm
5 rad/s47.75 rpm
10 rad/s95.49 rpm
15 rad/s143.24 rpm
20 rad/s190.99 rpm
25 rad/s238.73 rpm
30 rad/s286.48 rpm
40 rad/s381.97 rpm
50 rad/s477.46 rpm
60 rad/s572.96 rpm
75 rad/s716.2 rpm
90 rad/s859.44 rpm
100 rad/s954.93 rpm
120 rad/s1145.92 rpm
150 rad/s1432.39 rpm
200 rad/s1909.86 rpm
250 rad/s2387.32 rpm
300 rad/s2864.79 rpm
400 rad/s3819.72 rpm
500 rad/s4774.65 rpm

Common frequency values

rpmrad/s
5 rpm0.524 rad/s
10 rpm1.05 rad/s
25 rpm2.62 rad/s
50 rpm5.24 rad/s
75 rpm7.85 rad/s
100 rpm10.47 rad/s
120 rpm12.57 rad/s
150 rpm15.71 rad/s
200 rpm20.94 rad/s
300 rpm31.42 rad/s
400 rpm41.89 rad/s
500 rpm52.36 rad/s

How it scales

358100255075100rpm

1 Hz in other units

60rpm6.28rad/s0kHz0MHz

The ratio at a glance

1 rpm0.1047 rad/s

Hz, rpm, and rad/s — the key frequency units

The hertz (Hz) is the SI unit of frequency and measures cycles per second; kilohertz (kHz), megahertz (MHz), and gigahertz (GHz) are its powers-of-ten multiples (×1,000, ×1,000,000, ×1,000,000,000). They describe audio (Hz/kHz), radio and broadcast (MHz), and Wi-Fi and processor clocks (GHz).

rpm and rad/s describe rotation rather than waves: rpm (revolutions per minute) is a rotational speed, where 60 rpm equals exactly 1 Hz (one revolution per second). rad/s is the angular frequency ω, with ω = 2πf, so 1 Hz equals 2π rad/s ≈ 6.283 rad/s. For more unit pairs, use our frequency conversion hub.

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Frequently asked questions

How many rad/s are in 1 rpm?

1 rpm equals 0.105 rad/s.

How many rad/s are in 2 rpm?

2 rpm equal 0.209 rad/s.

How do I convert rpm to rad/s?

Divide the frequency in rpm by 9.55 to get rad/s.

How are Hz and rad/s related?

rad/s is the angular frequency ω. Since ω = 2πf, 1 Hz equals exactly 2π rad/s ≈ 6.283 rad/s. Going the other way, 1 rad/s is 1/(2π) Hz ≈ 0.159 Hz. The factor of 2π appears because one full cycle spans 2π radians.

What are these frequency units used for?

Hertz (Hz) is the SI unit of frequency; kilohertz (kHz), megahertz (MHz), and gigahertz (GHz) are its multiples, describing audio, radio, wireless, and processor clocks. rpm measures the rotational speed of motors and drives, and rad/s (angular frequency) is used in physics and control engineering.

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