Question

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

Answer 1

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. 

Answer 2

Answer:

D 96

Explanation:

EDGE