The centripetal acceleration of the body moving in the uniform circular motion is 49.3m/s².
<h3>What is centripetal acceleration?</h3>
Centripetal acceleration is simply the acceleration of a body traversing a circular path.
It is expressed as;
ac = v²/r
Where v is velocity and r is radius.
But, Velocity v = 2πr/t.
Hence,
ac = ( 2πr/t )²/r
Given that;
- Mass m = 2.5kg
- Radius r = 20.0m
- Elapsed time t = 4.0s
- Centripetal acceleration = ?
ac = ( (2 × π × 20m) / 4.0s )² / 20m
ac = ( 31.4m/s )² / 20m
ac = (985.96m²/s²) / 20m
ac = 49.3m/s²
Therefore, the centripetal acceleration of the body moving in the uniform circular motion is 49.3m/s².
Learn more about centripetal acceleration here: brainly.com/question/14465119
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Explanation: