Question

A particle travels 15 times around a 10-cm radius circle in 42 seconds. What is the average speed (in m/s) of the particle?

Options:
Option 1: 0.1 m/s
Option 2: 0.5 m/s
Option 3: 1.0 m/s
Option 4: 2.0 m/s

Answer 1

The average speed of the particle is 0.1 m/s.

Step-by-step explanation:

The average speed of the particle can be calculated by dividing the total distance traveled by the total time taken. In this case, the particle travels 15 times around the circle, which is equivalent to 15 * 2π * 10 cm. The total distance traveled is 15 * 2π * 10 cm.

To convert the distance to meters, we divide by 100, as there are 100 centimeters in 1 meter. So the total distance traveled is (15 * 2π * 10) / 100 meters.

The total time taken is given as 42 seconds. To calculate the average speed, we divide the total distance by the total time: ((15 * 2π * 10) / 100) / 42.

Calculating this expression gives us the average speed of the particle in meters per second. Therefore, the average speed of the particle is 0.1 m/s.