2 RPM to Rad – Answer and Calculator Tool

2 rpm converts to approximately 0.2094 radians per second.

To convert revolutions per minute (rpm) to radians per second (rad/sec), multiply the rpm value by 2π and divide by 60. Since 1 revolution equals 2π radians, this formula accounts for the full circle and the time conversion from minutes to seconds.

Conversion Result

Enter value in rpm:

Result in rad:

Conversion Formula

The conversion from rpm to rad/sec is based on the formula: radians per second = (rpm * 2π) / 60. This works because each revolution equals 2π radians, and dividing by 60 converts minutes into seconds. For example, for 2 rpm:

• Multiply 2 rpm by 2π: 2 * 6.2832 = 12.5664.
• Divide 12.5664 by 60: 12.5664 / 60 = 0.2094 rad/sec.

This formula ensures that the rotational speed is accurately converted into radians every second, providing a standard unit for angular velocity.

Conversion Example

• Convert 5 rpm to rad/sec:
• Multiply 5 by 2π: 5 * 6.2832 = 31.416.
• Divide 31.416 by 60: 31.416 / 60 = 0.5236 rad/sec.
• Result: 5 rpm equals approximately 0.5236 rad/sec.

• Convert 10 rpm:
• 10 * 2π = 62.832.
• 62.832 / 60 = 1.0472 rad/sec.
• Result: 10 rpm equals about 1.0472 rad/sec.

• Convert 1.5 rpm:
• 1.5 * 2π = 9.4248.
• 9.4248 / 60 = 0.1571 rad/sec.
• Result: 1.5 rpm equals roughly 0.1571 rad/sec.

Conversion Chart

rpm	rad/sec
-23.0	-2.4134
-22.0	-2.3036
-21.0	-2.1938
-20.0	-2.0840
-19.0	-1.9742
-18.0	-1.8644
-17.0	-1.7546
-16.0	-1.6448
-15.0	-1.5350
-14.0	-1.4252
-13.0	-1.3154
-12.0	-1.2056
-11.0	-1.0958
-10.0	-0.9860
-9.0	-0.8762
-8.0	-0.7664
-7.0	-0.6566
-6.0	-0.5468
-5.0	-0.4370
-4.0	-0.3272
-3.0	-0.2174
-2.0	-0.1076
-1.0	-0.0178
0.0	0.0000
1.0	0.0175
2.0	0.0350
3.0	0.0524
4.0	0.0698
5.0	0.0873
6.0	0.1047
7.0	0.1222
8.0	0.1396
9.0	0.1571
10.0	0.1745
11.0	0.1920
12.0	0.2094
13.0	0.2269
14.0	0.2443
15.0	0.2618
16.0	0.2792
17.0	0.2967
18.0	0.3142
19.0	0.3316
20.0	0.3491
21.0	0.3665
22.0	0.3840
23.0	0.4014
24.0	0.4189
25.0	0.4363
26.0	0.4538
27.0	0.4712

To read the chart, find your rpm value in the first column, then look across to see the corresponding radians per second in the second column.

Related Conversion Questions

• How many radians per second are there in 2 rpm?
• What is the rad/sec equivalent of 2 revolutions per minute?
• Convert 2 rpm into radians for angular velocity calculations?
• How do I change 2 rpm to radians per second?
• What is the rad/sec value for 2 rpm in rotational speed?
• Is 2 rpm the same as 0.2094 rad/sec?
• How can I compute radians per second from 2 rpm?

Conversion Definitions

rpm

Revolutions per minute (rpm) measures how many full turns an object makes in one minute, reflecting rotational speed, commonly used in motors, engines, and rotating machinery to express how fast something spins.

rad

Radians (rad) are units of angular measurement, representing the ratio of the length of an arc to its radius, with one full revolution equal to 2π radians, used to express angles and rotational quantities in mathematics and physics.

Conversion FAQs

How accurate is the conversion from 2 rpm to radians?

The conversion is precise as it relies on the mathematical relationship between revolutions and radians, with no approximations involved other than rounding the final result to a certain decimal place, ensuring high accuracy for most applications.

Can I convert negative rpm values to radians?

Yes, negative rpm values indicate reverse rotation, and when converted, the radians per second will also be negative, reflecting the direction of rotation, but the magnitude remains consistent with the conversion formula.

What practical applications use rpm to rad/sec conversions?

This conversion is crucial in engineering, physics, and robotics for calculating angular velocities in motors, turbines, and rotational systems, allowing for precise control, analysis, and synchronization of moving parts.