Question Detail
Question
For the same 2 kg body (radius 1.5 m, frequency 3 rev/s), what is its centripetal acceleration?
Correct Answer
Option A is the correct answer.
Detailed Explanation
Using a = ω²r. First, ω = 2πf = 2π * 3 = 6π rad/s. Then, a = (6π rad/s)² * 1.5 m = 36π² * 1.5 = 54π² m/s². Alternatively, using v=9π m/s, a = v²/r = (81π²)/1.5 = 54π² m/s².
Hint
Centripetal acceleration can be calculated using either a = v²/r or a = ω²r. Using ω might be more direct here.