Question

A round-a-bout is placed on a road to replace a stop sign. Cars are found to drive at 25.0m/s around it. If the radius of the curve is 20.0m, what distance does a car drive to make one complete loop around the round-a-bout?

Answer 1

To find the distance a car drives to make one complete loop around the round-a-bout, we need to find the circumference of the circle formed by the round-a-bout.

The circumference of a circle can be calculated by the formula:

C = 2πr

Where C is the circumference, π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle.

In this case, the radius of the round-a-bout is given as 20.0m, so we can calculate the circumference as:

C = 2πr = 2 × 3.14 × 20.0m = 125.6m

Therefore, a car would drive a distance of 125.6 meters to make one complete loop around the round-a-bout.