Revolution Conversion Calculator

Enter a value in revolutions below to convert to another unit of angle.

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What Is a Revolution?

A revolution is a unit used to measure angle.

A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

How Much Is a Revolution?

A revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.

How to Convert Revolutions

To convert revolutions to another unit of angle, you need to multiply the value by a conversion factor. A conversion factor is a numerical value used to change the units of a measurement without changing the value.[1]

You can find the conversion factors for revolutions in the conversion table below.

Then, multiply the angle measurement by the conversion factor to find the equivalent value in the desired unit of measurement.

revolutions × conversion factor = result

You can also use a calculator, such as one of the converters below, for the conversion.

Revolution Conversion Table

Common revolution values and equivalent imperial and metric angle measurements
revolutions radians milliradians degrees minutes of arc seconds of arc gradians circles Mils (NATO)
1 r 6.283185 rad 6,283 mrad 360° 21,600' 1,296,000" 400g 1 cir 6,400 mil
2 r 12.566371 rad 12,566 mrad 720° 43,200' 2,592,000" 800g 2 cir 12,800 mil
3 r 18.849556 rad 18,850 mrad 1,080° 64,800' 3,888,000" 1,200g 3 cir 19,200 mil
4 r 25.132741 rad 25,133 mrad 1,440° 86,400' 5,184,000" 1,600g 4 cir 25,600 mil
5 r 31.415927 rad 31,416 mrad 1,800° 108,000' 6,480,000" 2,000g 5 cir 32,000 mil
6 r 37.699112 rad 37,699 mrad 2,160° 129,600' 7,776,000" 2,400g 6 cir 38,400 mil
7 r 43.982297 rad 43,982 mrad 2,520° 151,200' 9,072,000" 2,800g 7 cir 44,800 mil
8 r 50.265482 rad 50,265 mrad 2,880° 172,800' 10,368,000" 3,200g 8 cir 51,200 mil
9 r 56.548668 rad 56,549 mrad 3,240° 194,400' 11,664,000" 3,600g 9 cir 57,600 mil
10 r 62.831853 rad 62,832 mrad 3,600° 216,000' 12,960,000" 4,000g 10 cir 64,000 mil
11 r 69.115038 rad 69,115 mrad 3,960° 237,600' 14,256,000" 4,400g 11 cir 70,400 mil
12 r 75.398224 rad 75,398 mrad 4,320° 259,200' 15,552,000" 4,800g 12 cir 76,800 mil
13 r 81.681409 rad 81,681 mrad 4,680° 280,800' 16,848,000" 5,200g 13 cir 83,200 mil
14 r 87.964594 rad 87,965 mrad 5,040° 302,400' 18,144,000" 5,600g 14 cir 89,600 mil
15 r 94.24778 rad 94,248 mrad 5,400° 324,000' 19,440,000" 6,000g 15 cir 96,000 mil
16 r 100.530965 rad 100,531 mrad 5,760° 345,600' 20,736,000" 6,400g 16 cir 102,400 mil
17 r 106.81415 rad 106,814 mrad 6,120° 367,200' 22,032,000" 6,800g 17 cir 108,800 mil
18 r 113.097336 rad 113,097 mrad 6,480° 388,800' 23,328,000" 7,200g 18 cir 115,200 mil
19 r 119.380521 rad 119,381 mrad 6,840° 410,400' 24,624,000" 7,600g 19 cir 121,600 mil
20 r 125.663706 rad 125,664 mrad 7,200° 432,000' 25,920,000" 8,000g 20 cir 128,000 mil

Revolution Conversion Calculators

You can also convert angle using one of our revolution converters below.

References

  1. National Institute of Standards & Technology, Unit Conversion, https://www.nist.gov/pml/owm/metric-si/unit-conversion

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