How Do You Calculate Number of Revolutions Given Radius and Distance?

To calculate the number of revolutions when you know the radius and the distance traveled, you can follow these steps:

1. Calculate the Circumference: First, find the circumference of the circle using the formula:

   C = 2 * π * r

   where C is the circumference, π (pi) is approximately 3.1416, and r is the radius of the circle.

2. Determine the Number of Revolutions: Next, divide the total distance traveled by the circumference to find the number of revolutions:

   Number of Revolutions = Distance / Circumference

   This will give you the number of complete revolutions made.

Example: If the radius of a wheel is 0.5 meters and it travels a distance of 10 meters, the calculation would be:

Circumference = 2 * π * 0.5 = 3.1416 meters
Number of Revolutions = 10 / 3.1416 ≈ 3.183 revolutions

This means the wheel makes approximately 3.183 complete revolutions over a distance of 10 meters.