Question

An object of mass 2.5kg moves in a uniform circular motion of radius 20.0 m once every 4.00s

Answer 1

The centripetal acceleration of the body moving in the uniform circular motion is 49.3m/s².

What is centripetal acceleration?

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: https://brainly.com/question/14465119

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