20000 RPM to Rad – Answer and Calculator Tool

The conversion of 20000 rpm to radians per second gives approximately 2094.3952 rad/sec.

To convert revolutions per minute (rpm) to radians, you multiply rpm by 2π (since one revolution equals 2π radians) and divide by 60 (seconds in a minute). So, 20000 rpm * 2π / 60 equals about 2094.3952 rad/sec, showing how many radians are swept per second at that speed.

Conversion Result

Conversion Tool

Conversion Formula

The formula to convert rpm to radians per second is: radians/sec = rpm * 2π / 60. This works because each revolution (360 degrees) equals 2π radians, and there are 60 seconds in a minute. By multiplying rpm with 2π, we get radians per minute, then dividing by 60 converts to radians/sec. For example, 20000 rpm times 2π gives 125663.7 radians per minute, which divided by 60 results in approximately 2094.3952 rad/sec.

Conversion Example

• Convert 15000 rpm to rad/sec:
  • Multiply 15000 by 2π: 15000 * 6.2832 = 94248
  • Divide 94248 by 60: 94248 / 60 = 1570.8 rad/sec
• Convert 5000 rpm to rad/sec:
  • Multiply 5000 by 2π: 5000 * 6.2832 = 31416
  • Divide 31416 by 60: 31416 / 60 = 523.6 rad/sec
• Convert 25000 rpm to rad/sec:
  • Multiply 25000 by 2π: 25000 * 6.2832 = 157079.6
  • Divide 157079.6 by 60: 157079.6 / 60 = 2617.99 rad/sec

Conversion Chart

This chart shows rpm values from 19975 to 20025 and their equivalent rad/sec conversions. To use, find the rpm value closest to your measurement and read across to find the radians per second.

Related Conversion Questions

• How many radians per second are in 20000 rpm?
• What is the rad/sec equivalent of 20000 rpm in rotational speed?
• How do I convert 20000 rpm to radians for physics calculations?
• What is the angular velocity in rad/sec for 20000 rpm?
• Can you show me a quick way to convert 20000 rpm to radians per second?
• What is the rad/sec if a motor spins at 20000 rpm?
• How many radians per second does 20000 rpm correspond to?

Conversion Definitions

rpm

Revolutions per minute (rpm) is a measure of rotational speed indicating how many complete turns or revolutions an object makes in one minute. It is typically used to describe the speed of motors, wheels, and rotating machinery.

rad

Rad radians measure the angle of rotation or angular distance traveled, where one radian equals about 57.3 degrees, representing the angle subtended at the center of a circle by an arc equal in length to the circle’s radius.

Conversion FAQs

How do I convert rpm to rad/sec manually?

To convert rpm to rad/sec, multiply rpm by 2π, then divide by 60. For example, for 20000 rpm, multiply 20000 by 6.2832 to get radians per minute, then divide by 60 to get radians per second, resulting in approximately 2094.3952 rad/sec.

Why is 2π used in the conversion?

Because one revolution equals 2π radians, multiplying rpm by 2π converts revolutions to radians. This step converts the rotational speed from revolutions per minute to radians per minute, which can then be converted to radians per second.

What happens if I change rpm to a lower value in the converter?

Lowering rpm will proportionally reduce the rad/sec result. The conversion formula remains the same, so entering a smaller rpm value will give you the corresponding radians per second, scaled down accordingly.

Is the conversion different if I use degrees instead of radians?

Yes, converting to degrees involves multiplying rpm by 360° and dividing by 60, or directly using degrees per second. Radians and degrees are different units of angular measurement, with radians being the SI standard.

Last Updated : 22 July, 2025

Sandeep Bhandari

Sandeep Bhandari holds a Bachelor of Engineering in Computers from Thapar University (2006). He has 20 years of experience in the technology field. He has a keen interest in various technical fields, including database systems, computer networks, and programming. You can read more about him on his bio page.