The tip of a fan blade is 0.61 m from the center of the fan. The fan turns at a constant speed and completes 2 rotations every 1.0 s.

What is the centripetal acceleration of the tip of the fan blade?

6.0 m/s2

48 m/s2

53 m/s2

96 m/s2

First, we solve for the velocity of the blade of the fan,

velocity = 2 x (2π) (0.61 m) / 1 s = 7.665 m/s

The equation for the centripetal acceleration of a rotating body is calculated through the equation,

ac = v²/r

ac is centripetal acceleration, v is velocity, and r is radius. Substituting the known values,

ac = (7.665 m/s) ² / 0.61 = 96.33 m/s²

Thus, the answer is the third choice.