Question

If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete ten revolutions, calculate the centripetal acce

Answer 1

approximately 2.467

Step-by-step explanation:

To calculate the centripetal acceleration of an object moving in uniform circular motion, you can use the formula:

Centripetal acceleration (a) = (4 * π² * R) / T²

Where:

• R = radius of the circle

• T = time taken for one complete revolution (period)

Given that R = 1.0 meter and T = 4.0 seconds (for ten revolutions), let’s calculate the centripetal acceleration:

a = (4 * π² * 1.0) / (4.0²)

a = (4 * π²) / 16

a = π² / 4

The value of π² / 4 is approximately 2.467.

So, the centripetal acceleration is approximately 2.467 meters per second squared (m/s²).