3600 RPM to Rad – Answer with Formula

Converting 3600 rpm to radians per second gives approximately 376.9911 rad/s.

To convert revolutions per minute (rpm) to radians per second (rad/s), multiply the rpm value by 2π and then divide by 60. This works because one revolution equals 2π radians, and there are 60 seconds in a minute, so the conversion accounts for both factors.

Conversion Result

Thus, 3600 rpm is equal to about 376.9911 radians per second.

Conversion Tool

Conversion Formula

To convert rpm to rad, the formula is: radians per second = rpm * 2π / 60. This works because each revolution is 2π radians, and there are 60 seconds in a minute, so multiplying rpm by 2π converts revolutions to radians per second. For example, 1 rpm equals 2π/60 rad/sec, roughly 0.10472 rad/sec. Increasing rpm scales proportionally, so 3600 rpm equals 3600 * 2π / 60 = 3600 * 0.10472 = 376.9912 rad/sec.

Conversion Example

• Convert 720 rpm:
  • Calculate: 720 * 2π / 60
  • 720 * 6.2832 / 60
  • 720 * 0.10472
  • Result: approximately 75.3982 rad/sec
• Convert 1500 rpm:
  • Calculate: 1500 * 2π / 60
  • 1500 * 6.2832 / 60
  • 1500 * 0.10472
  • Result: about 157.08 rad/sec
• Convert 500 rpm:
  • Calculate: 500 * 2π / 60
  • 500 * 6.2832 / 60
  • 500 * 0.10472
  • Result: roughly 52.36 rad/sec

Conversion Chart

Use this chart to quickly find rad values for rpm readings between 3575.0 to 3625.0. Just locate your rpm value in the first column and read off the corresponding rad/sec in the second column.

Related Conversion Questions

• What is the radian equivalent of 3600 rpm in different units?
• How do I convert 3600 rpm to radians per second for my motor?
• What is the formula to change rpm to radians per second in mechanical applications?
• Can you show me step-by-step how to convert 3600 rpm to rad/sec?
• What is the radian per second value of 3600 rpm in a high-speed motor?
• How many radians per second are in 3600 rpm?
• Is there an easy way to convert rpm to rad/sec for engines?

Conversion Definitions

rpm (revolutions per minute) measures how many full turns an object makes in one minute, used often in motors and engines to indicate rotational speed. It counts revolutions, not the angular distance per turn, providing a simple speed measurement for rotating objects.

Rad (radian) is a measure of angular distance, where one radian is the angle created when the arc length equals the radius of the circle. It provides a natural way to measure angles based on the circle’s geometry, making it essential in calculus and physics for angular calculations.

Conversion FAQs

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

Multiply 3600 rpm by 2π to convert revolutions to radians, then divide by 60 to account for seconds in a minute. Calculation: 3600 * 2π / 60 = 376.9911 rad/sec, giving you the angular velocity in radians per second.

Why is 2π used in converting rpm to radians?

Because one revolution equals 2π radians, using 2π in the formula converts revolutions to radians. This fundamental constant relates the circle’s circumference to its radius, making it key for angular conversions from revolutions to radians.

Can I use this conversion for other rotational speeds like degrees per second?

No, degrees per second measure angles in degrees, while radians are based on the circle’s radius. To convert rpm to degrees per second, multiply rpm by 6, since 360 degrees equal one revolution, then divide by 60 seconds.

What is the significance of radians in angular measurements?

Radians provide a direct relationship between the angle and the arc length of a circle, simplifying formulas in calculus, physics, and engineering. They allow for straightforward calculations of rotational motion, angular velocity, and acceleration.