# A body moves along a circular path with uniform angular speed of 0.6 rad/s

## Question

A body moves along a circular path with uniform angular speed of 0.6 rad/s. and at a constant speed of 3.0 meters per second. Calculate the acceleration of the body towards the center of the circle.

The final answer to this question (acceleration of the body towards the center of the circle) is 1.8 ms-2.

### Explanation

Data: Revealed information from the question

Angular velocity, ω = 0.6 rad/s

Linear velocity, V = 3.0 m/s

Unknown: Unrevealed information from the question

Radius of the circle, r = ?

Centripetal acceleration, a = ?

Formula: The equation that will help us solve the problem

Step 1: To find the radius of the circle, we will apply the equation below

r = V/ω [ Because V = ωr]

Step 2: We can use the formulae below to calculate the centripetal force

a = V2 / r

#### Solution

Step 1: To calculate the radius of the circle, i will the formula

r = V/ω = 3 / 0.6 = 5 m

Therefore, the radius of the circle is 5 meters

Step 2: By applying the formula a = V2 / r, we can find the centripetal acceleration as

a = V2 / r = 32 / 5 = 9 / 5 = 1.8 m/s2

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