Question

An object is experiencing an acceleration of 24m/s while traveling in a circle of radius 6.0m. What is its velocity?

Answer 1

$a = \frac{v {}^{2} }{r} \: so \: that \: v = \sqrt{} a \times r \: 24m \div sec \: \times 6m \: = 12m \div s$

Answer 2

Answer:

12m/s

Explanation:

The acceleration experienced by the object is known as the centripetal acceleration.

Centripetal acceleration a is expressed in terms of the velocity v of the object and the radius r of the circle in which the body is moving.

Mathematically;

a = v²/r

Given a = 24m/s²; radius = 6m

24 = v²/6

Cross multiplying will give;

v² = 24×6

v² = 144

v =√144

v = 12m/s

The velocity of the object is 12m/s