Degrees To Revolutions Converter

degree to revolution – How to convert ° to rev

In fields like mechanical engineering, rotational physics, or even everyday motion tracking, we often measure angles not just in degrees, but in revolutions—a full, complete turn around a circle. So how do you convert degrees to revolutions?

It’s simpler than it seems. Here’s a full breakdown of what each unit means, how they relate, and where this conversion actually shows up in real-world applications.

Degrees: a classic circle-splitter

The degree (°) is the most widely used unit for measuring angles. A full circle has 360 degrees, a system that goes all the way back to the Babylonians. It's flexible, practical, and easy to break into halves (180°), quarters (90°), or thirds (120°).

You’ll see degrees used in everything from navigation and drafting to programming robotic arms and adjusting solar panel angles.

Revolutions: tracking full turns

A revolution (rev) is exactly one full turn around a circle. It equals 360 degrees. Instead of focusing on small segments of a rotation, revolutions measure the entire cycle.

This unit is especially useful in:

• Rotating machinery like motors, engines, and turbines

• Angular velocity (like RPM—revolutions per minute)

• Gears, cams, and wheels in mechanical systems

• Physics and motion tracking where full rotations are more relevant than degrees

If you're watching something spin or rotate, you're most likely thinking in revolutions—even if you're measuring in degrees.

How to convert degree to revolution

Since one revolution equals 360 degrees, converting is straightforward.

Formula

revolution = degree ÷ 360

That’s all there is to it.

Example: Convert 1,080 degrees to revolutions

revolution = 1,080 ÷ 360
revolution = 3

So, 1,080 degrees equals 3 full revolutions.

To calculate more angles instantly, use the Angle Converter. For other unit conversions, visit the full list of Conversion tools.

Did you know?

• The term "revolution" comes from Latin revolutio, meaning "a turn around"—fitting for a unit that describes complete cycles.

• RPM (revolutions per minute) is a standard metric for motor speed, found in everything from car engines to washing machines.

• In vinyl records, speeds are measured in revolutions per minute: 33⅓, 45, or 78 RPM.

• Robotic joints and servos often rotate in revolutions, programmed for a number of full or partial turns.

• The Earth’s orbit around the sun is considered one revolution per year—roughly 365.25 days.

Why revolutions matter beyond motors

Let’s say you’re designing a robotic wheel. Each full turn of the wheel equals one revolution. If you know the wheel’s diameter, you can instantly calculate how far it moves with every rotation. That becomes essential in robotics, automation, and manufacturing lines, where precise rotational motion translates into real-world linear movement.

In physics, angular motion is often described in radians or revolutions—especially in formulas involving energy, torque, or momentum. Engineers convert degrees to revolutions when they’re working with rotating shafts, motor drivers, or any component that makes full circular motion.

And in everyday mechanics, from bicycles to ceiling fans, revolutions help define how fast and how far things turn—something degrees alone can’t always show clearly.

Wrap-up: from angles to full turns

The degree to revolution conversion is a useful bridge between partial angles and full-circle motion. With the formula:

revolution = degree ÷ 360

you can take any degree measurement and instantly know how many full turns it represents.

Use our Angle Converter for quick results, or browse more units with the complete Conversion tools collection. Whether you're working in a lab, a shop, or on a design project, this small formula makes a big difference.