Question Detail
Question
Which formula correctly gives the centripetal acceleration a_c of a point on a rotating object in terms of its angular speed ω and its distance r from the axis?
Correct Answer
Option B is the correct answer.
Detailed Explanation
Centripetal acceleration can be expressed in terms of tangential speed as a_c = v²/r. Substituting v = rω gives a_c = (rω)² / r = rω².
Hint
Start with the formula a_c = v²/r and replace v with its equivalent in terms of ω and r.