Rad/s to RPM Calculator

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This calculator helps you convert radians per second (rad/s) or degrees per second (°/s) to revolutions per minute (RPM). Simply enter the value, choose the correct unit, and get instant results. It’s perfect for anyone working with spinning objects, motors, or any rotating systems.

The tool also displays the result in revolutions per second (rev/s) for clarity. Fast, accurate, and easy to use—no manual calculations needed!

What’s the difference between rad/s and RPM?

• Rad/s measures how fast an object rotates in radians per second.
• RPM measures how many full revolutions happen in one minute.

Since 1 revolution = 2π radians, and 1 minute = 60 seconds, we can use this relationship to convert between the two units.

How to Convert Radians Per Second (rad/s) to (RPM)

To convert radians per second (rad/s) to revolutions per minute (RPM), multiply the value in rad/s by 60 and divide by 2π. The formula is:

RPM = rad/s × (60 / 2π).

This converts angular velocity from seconds to minutes and radians to full revolutions.

Use 2π ≈ 6.2832 for quick calculations.

Or approximately:

RPM = rad/s × 9.5493

Example 1: Convert 2 rad/s to RPM

Using the formula:

RPM = 2 × 60/2π

​RPM = 2 × 60/6.2832 ≈ 2 × 9.5493 = 19.0986

Answer: 2 rad/s = 19.10 RPM

Example 2: Convert 10 rad/s to RPM

RPM = 10 × 60/2π = 10 × 9.5493 = 95.493

Answer: 10 rad/s = 95.49 RPM

Rad/s To Rpm Conversion Table:

Radians per Second (rad/s)	Revolutions per Minute (RPM)
0	0.00
5	47.75
10	95.49
15	143.24
20	190.99
25	238.73
30	286.48
35	334.23
40	381.97
45	429.72
50	477.47
55	525.21
60	572.96
65	620.71
70	668.45
75	716.20
80	763.95
85	811.69
90	859.44
95	907.19
100	954.93
105	1002.68
110	1050.43
115	1098.17
120	1145.92
125	1193.67
130	1241.41
135	1289.16
140	1336.91
145	1384.65
150	1432.40
155	1480.15
160	1527.89
165	1575.64
170	1623.39
175	1671.13
180	1718.88
185	1766.63
190	1814.37
195	1862.12
200	1909.87