Answer:
[tex]96 m/s^2[/tex]
Explanation:
Centripetal acceleration is given by:
[tex]a_c = \omega^2 r[/tex]
where
[tex]\omega[/tex] is the angular frequency
r is the radius of the trajectory
In fan completes 2 rotations every second, so its frequency is
[tex]f=\frac{2}{1.0 s}=2 Hz[/tex]
And the angular frequency is
[tex]\omega=2\pi f=2\pi(2 Hz)=12.6 rad/s[/tex]
The radius of the trajectory is
r = 0.61 m
So, the centripetal acceleration is
[tex]a=(12.6 rad/s)^2 (0.61 m)=96.8 m/s^2 \sim 96 m/s^2[/tex]
