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