3600 RPM to Rad – Answer and Calculator Tool

The conversion of 3600 rpm to rad/sec results in approximately 376.99 radians per second.

Since 1 rpm equals 2π/60 radians per second, multiplying 3600 rpm by 2π/60 gives the rad/sec value. This is because rpm measures revolutions per minute, and radians per second measures angular velocity in radians. The formula simplifies to multiplying rpm by π/30.

Conversion Result

3600 rpm is approximately 376.99 radians per second.

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. Multiplying rpm by 2π/60 converts revolutions per minute into radians per second.

For example, for 3600 rpm:

• Multiply 3600 by 2π: 3600 × 6.2832 ≈ 22619.52
• Divide by 60: 22619.52 / 60 ≈ 376.99 rad/sec

Conversion Example

• Convert 1500 rpm to rad/sec:
  • Multiply 1500 by 2π: 1500 × 6.2832 ≈ 9424.8
  • Divide by 60: 9424.8 / 60 ≈ 157.08 rad/sec
• Convert 720 rpm to rad/sec:
  • Multiply 720 by 2π: 720 × 6.2832 ≈ 4523.89
  • Divide by 60: 4523.89 / 60 ≈ 75.4 rad/sec
• Convert 900 rpm to rad/sec:
  • Multiply 900 by 2π: 900 × 6.2832 ≈ 5654.88
  • Divide by 60: 5654.88 / 60 ≈ 94.25 rad/sec

Conversion Chart

This chart shows rpm values from 3575 to 3625 and their corresponding radians per second conversions, allowing quick reference for similar calculations.

Related Conversion Questions

• How many radians per second is 3600 rpm?
• What is the rad/sec equivalent of 3600 rpm?
• How do I convert 3600 rpm to angular velocity in radians?
• What is the radian measure of 3600 rotations per minute?
• Convert 3600 rpm into radians per second, how do I do that?
• What formula do I use to change rpm to radians/sec for 3600 rpm?
• Is 3600 rpm equal to about 377 rad/sec?

Conversion Definitions

rpm

Revolutions per minute (rpm) measures how many complete turns an object makes in one minute, used in engines and machinery to indicate rotational speed, and is calculated by counting revolutions over a time period in minutes.

rad

Radian (rad) is a unit of angular measurement representing the angle at the center of a circle that intercepts an arc equal in length to the circle’s radius, used in mathematics and physics to measure angles in a more natural way than degrees.

Conversion FAQs

How do I convert rpm to radians per second for 3600 rpm?

Multiply 3600 rpm by 2π and then divide by 60, which simplifies to multiplying by π/30. This converts revolutions per minute into radians per second, providing an angular velocity in a standard mathematical unit.

Why is the conversion factor 2π/60?

This factor accounts for converting revolutions to radians (2π radians per revolution) and seconds from minutes (60 seconds per minute). It ensures the units are consistent when translating rpm into rad/sec.

Can I convert any rpm value to radians per second using this method?

Yes, the same formula applies universally: multiply rpm by 2π/60 to get radians per second, regardless of the rpm value, making it a straightforward conversion method for rotational speeds.

What is the significance of radians per second in physics?

Radians per second measure how quickly an object rotates or spins, directly relating to angular velocity, which is crucial in dynamics, mechanical engineering, and rotational motion analysis.