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Angular Acceleration Converter

Convert between 6 angular acceleration units instantly. Enter a value, pick your units and get the result with the formula, a full conversion table and worked examples.

rad/min²rad/s²°/s²rev/min²rpm/srev/s²+0 more
100 rpm/s = 10.472 rad/s²
1 rpm/s = 0.10472 rad/s²  |  Formula: rad/s² = rpm/s × 0.10472
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100 rpm/s in all angular acceleration units

Updates live as you type. Click a row to set it as the target unit.

UnitSymbolValue
Radian per sq minuterad/min²37,699.1
Radian per sq secondrad/s²10.472
Degree per sq second°/s²600
Revolution per sq minuterev/min²6,000
RPM per secondrpm/s100
Revolution per sq secondrev/s²1.66667
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How to Convert Angular Acceleration Units

Angular acceleration is the rate of change of angular velocity. The SI unit is radian per second squared (rad/s²); drive ramp rates are often set in rpm per second.

Every unit on this page is stored as a fixed factor relative to one reference unit, the radian per sq second (rad/s²). Converting is a two step multiply and divide:

  1. Multiply your value by the factor of the source unit to get the value in rad/s².
  2. Divide that result by the factor of the target unit.
Value in B = Value in A × (Factor of A ÷ Factor of B)
Worked example: convert 100 rpm per second to radian per sq second. Using rad/s² = rpm/s × 0.10472: 100 rpm/s × 0.10472 = 10.472 rad/s².

RPM per second to Radian per sq second conversion table

RPM per second (rpm/s)Radian per sq second (rad/s²)
1 rpm/s0.10472 rad/s²
2 rpm/s0.20944 rad/s²
3 rpm/s0.314159 rad/s²
4 rpm/s0.418879 rad/s²
5 rpm/s0.523599 rad/s²
6 rpm/s0.628319 rad/s²
7 rpm/s0.733038 rad/s²
8 rpm/s0.837758 rad/s²
9 rpm/s0.942478 rad/s²
10 rpm/s1.0472 rad/s²
15 rpm/s1.5708 rad/s²
20 rpm/s2.0944 rad/s²
25 rpm/s2.61799 rad/s²
30 rpm/s3.14159 rad/s²
40 rpm/s4.18879 rad/s²
50 rpm/s5.23599 rad/s²
75 rpm/s7.85398 rad/s²
100 rpm/s10.472 rad/s²
250 rpm/s26.1799 rad/s²
500 rpm/s52.3599 rad/s²
1,000 rpm/s104.72 rad/s²

Angular Acceleration Units and Conversion Factors

Value of one unit expressed in rad/s².

UnitSymbolIn rad/s²
Radian per sq minuterad/min²0.0002777777778
Radian per sq secondrad/s²1
Degree per sq second°/s²0.01745329252
Revolution per sq minuterev/min²0.001745329252
RPM per secondrpm/s0.1047197551
Revolution per sq secondrev/s²6.283185307
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Frequently Asked Questions

What is the SI unit of angular acceleration?

The SI unit of angular acceleration is the radian per sq second (rad/s²). Angular acceleration is the rate of change of angular velocity.

How do I convert rpm/s to rad/s²?

To convert rpm per second (rpm/s) to radian per sq second (rad/s²), multiply the value in rpm/s by 0.10472. For example, 1 rpm/s = 0.10472 rad/s².

How do I convert rad/s² to rpm/s?

To convert radian per sq second (rad/s²) to rpm per second (rpm/s), multiply the value in rad/s² by 9.5493. For example, 1 rad/s² = 9.5493 rpm/s.

How do I convert °/s² to rad/s²?

To convert degree per sq second (°/s²) to radian per sq second (rad/s²), multiply the value in °/s² by 0.0174533. For example, 1 °/s² = 0.0174533 rad/s².

Can I see a value in every angular acceleration unit at once?

Yes. Enter a value and choose the source unit; the "all units" table below the converter instantly lists the equivalent in all 6 supported units. Click any row to make it the target unit.

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