600 rpm is approximately 62.83 radians per second

Converting 600 revolutions per minute (rpm) to radians involves multiplying by a factor that accounts for how many radians are in a revolution and converting minutes to seconds. So, 600 rpm equals about 62.83 rad/sec.

Conversion Result and Explanation

To convert 600 rpm to radians per second, you multiply 600 revolutions per minute by 2π radians per revolution, then divide by 60 seconds per minute. This calculation transforms revolutions into radians and minutes into seconds, giving the angular velocity in radians/sec.

Conversion Tool

Conversion Formula

The formula to convert rpm to rad/sec is: radians per second = rpm * 2π / 60. This works because one revolution equals 2π radians, and there are 60 seconds in a minute, so multiplying rpm by 2π converts revolutions to radians and dividing by 60 converts minutes to seconds.

For example, with 600 rpm: 600 * 2π / 60 = (600 / 60) * 2π = 10 * 2π ≈ 62.83 rad/sec. This method ensures the angular velocity is expressed in radians per second, a standard measure in physics and engineering.

Conversion Example

• Convert 300 rpm to rad/sec:
  • Divide 300 by 60 = 5
  • Multiply 5 by 2π ≈ 5 * 6.2832 = 31.416 rad/sec
• Convert 150 rpm to rad/sec:
  • 150 / 60 = 2.5
  • 2.5 * 2π ≈ 2.5 * 6.2832 = 15.708 rad/sec
• Convert 900 rpm to rad/sec:
  • 900 / 60 = 15
  • 15 * 2π ≈ 15 * 6.2832 = 94.248 rad/sec
• Convert 1200 rpm to rad/sec:
  • 1200 / 60 = 20
  • 20 * 2π ≈ 20 * 6.2832 = 125.664 rad/sec
• Convert 100 rpm to rad/sec:
  • 100 / 60 ≈ 1.6667
  • 1.6667 * 2π ≈ 1.6667 * 6.2832 = 10.472 rad/sec

Conversion Chart

Use this chart to quickly see the approximate rad/sec values for rpm values in the given range.

Related Conversion Questions

• What is the rad/sec equivalent of 600 rpm?
• How do I convert rpm to radians per second for a motor spinning at 600 rpm?
• What is the formula to change 600 rpm into radians per second?
• Can I convert 600 rpm directly into radians without a calculator?
• What is the angular velocity in rad/sec of a device rotating at 600 rpm?
• How many radians per second is 600 rpm in terms of physics?
• Is the conversion from rpm to rad/sec linear for different values?

Conversion Definitions

rpm

Revolutions per minute, or rpm, measures how many complete turns an object makes in a minute, often used to describe rotational speeds of engines, motors, and wheels, indicating the frequency of rotation.

rad

Radians are units of angular measurement, where one radian equals the angle created when arc length equals radius; used to quantify rotational angles in mathematics and physics, with 2π radians representing a full circle.

Conversion FAQs

Why is 2π used in the conversion from rpm to rad/sec?

The factor 2π appears because one full revolution equals 2π radians. Converting rpm to radians per second involves multiplying the revolutions per minute by 2π to get radians, then dividing by 60 to get per second measurement.

Can I use a different conversion factor for specific applications?

The standard conversion uses 2π for revolutions to radians and 60 for minutes to seconds, but some specialized fields may use alternative units or conversion factors based on their conventions, though the standard remains most common.

How precise is the conversion from rpm to rad/sec?

The calculation typically uses an approximation of π as 3.1416, which provides sufficient precision for most engineering purposes; for extremely precise needs, more decimal places of π can be used.

Does the conversion change with different units?

Yes, if the original measurement is in different units (like revolutions per hour or per second), the conversion formula adapts accordingly, but the core concept of multiplying by 2π and adjusting for time units remains the same.