Radians Per Second To Revolutions Per Minute (rad/s to rpm) Converter

Welcome to our Radians Per Second to Revolutions Per Minute (rad/s to rpm) Converter! This tool is designed to help you quickly and accurately convert between two common units of angular velocity. Understanding these units and how they relate is crucial in many fields, including physics, engineering, and mechanics.

Let’s break down what these units represent. Radians per second (rad/s) is the standard SI unit for angular velocity. It measures how many radians an object rotates through in one second. A radian is a unit of angular measurement defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle. One full revolution is equal to 2π radians.

Revolutions per minute (rpm), on the other hand, is a more commonly used unit in everyday applications, particularly for measuring the speed of rotating machinery like engines or motors. It represents the number of complete rotations an object makes in one minute. While not an SI unit, it’s widely understood and practical for many purposes.

Converting between rad/s and rpm involves a simple calculation based on the relationship between radians, revolutions, and time. Since one revolution is equal to 2π radians, and one minute is equal to 60 seconds, we can establish the conversion factor. To convert from rad/s to rpm, you multiply the value in rad/s by 60 (to convert seconds to minutes) and then divide by 2π (to convert radians to revolutions). The formula is: rpm = (rad/s * 60) / (2π). Conversely, to convert from rpm to rad/s, you multiply the value in rpm by 2π and then divide by 60: rad/s = (rpm * 2π) / 60. Our converter handles these calculations for you, providing instant results.