150 rpm equals approximately 15.71 radians per second

Converting 150 rpm to radians involves multiplying the revolutions per minute by a factor to change revolutions into radians and per minute into per second. The result shows 150 rpm equals about 15.71 radians per second, helping understand rotational speed in angular measure.

Overview of Conversion

To turn revolutions per minute (rpm) into radians, we multiply the rpm value by 2π (since one revolution is 2π radians) and divide by 60 (seconds in a minute). This calculation transforms the rotational speed from revolutions per minute into radians per second, which is a standard angular velocity unit.

Conversion Tool

Conversion Formula

The formula to convert rpm to radians per second is: radians/sec = rpm * 2π / 60. This works because each revolution equals 2π radians, and there are 60 seconds in a minute. Multiplying rpm by 2π converts revolutions into radians, then dividing by 60 adjusts per second.

For example, with 150 rpm: 150 * 2π / 60 = (150 * 6.2832) / 60 = 942.48 / 60 = approximately 15.71 radians/sec.

Conversion Example

• Convert 200 rpm to radians/sec:
  • Multiply 200 by 2π: 200 * 6.2832 = 1256.64
  • Divide by 60: 1256.64 / 60 = 20.94 radians/sec
• Convert 100 rpm to radians/sec:
  • 200 * 2π = 628.32
  • 628.32 / 60 = approximately 10.47 radians/sec
• Convert 75 rpm to radians/sec:
  • 75 * 2π = 471.24
  • Divide by 60: 471.24 / 60 = 7.86 radians/sec
• Convert 300 rpm to radians/sec:
  • 300 * 2π = 1884.96
  • Divide by 60: 1884.96 / 60 = 31.42 radians/sec
• Convert 50 rpm to radians/sec:
  • 50 * 2π = 314.16
  • Divide by 60: 314.16 / 60 = 5.24 radians/sec

Conversion Chart

This chart helps you quickly find the equivalent radians/sec for rpm values between 125 and 175. Just read across the row to see the conversion.

Related Conversion Questions

• How many radians per second is 150 rpm?
• What is the radian equivalent of 150 revolutions per minute?
• Convert 150 rpm into an angular velocity in radians/sec?
• How do I change 150 rpm to radians per second?
• What is the formula to convert rpm to radians/sec for 150 rpm?
• Is 150 rpm equal to about 15.7 radians/sec?
• How many radians does a motor spin at 150 rpm?

Conversion Definitions

rpm

Revolutions per minute (rpm) measures how many full rotations an object completes in one minute, serving as a rotational speed indicator, common in engines, motors, and machinery to show how fast something spins.

rad

Radian (rad) is an angular measurement equal to the angle created when the arc length equals the radius of a circle, where one complete revolution equals 2π radians, used to quantify rotational angles in mathematics and physics.

Conversion FAQs

Why do we multiply rpm by 2π when converting to radians?

Because each revolution contains 2π radians, multiplying rpm by 2π converts revolutions into radians, giving the total angular displacement per minute before adjusting for seconds for standard angular velocity units.

Can I convert rpm directly to degrees per second instead of radians?

Yes, by multiplying rpm by 360 (degrees in a revolution) and dividing by 60, you get degrees per second. To convert directly to radians, use the 2π factor instead of 360.

What is the angular velocity of a wheel rotating at 150 rpm?

The angular velocity in radians per second would be approximately 15.71, showing how fast the wheel spins in terms of radians each second, useful for physics and engineering calculations involving rotational motion.

Does the conversion change if the rotation is not uniform?

Yes, if the rotation isn’t uniform, the rpm value might vary over time, making the static conversion less accurate for instantaneous angular velocities. The formula applies to constant rotation speeds.

Last Updated : 31 May, 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.