Question

What is the centripalaccele

Answer 1

`96 m/s^2`

Step-by-step explanation:

Centripetal acceleration is given by:

`a_c = \omega^2 r`

where

`\omega` is the angular frequency

r is the radius of the trajectory

In fan completes 2 rotations every second, so its frequency is

`f=(2)/(1.0 s)=2 Hz`

And the angular frequency is

`\omega=2\pi f=2\pi(2 Hz)=12.6 rad/s`

The radius of the trajectory is

r = 0.61 m

So, the centripetal acceleration is

`a=(12.6 rad/s)^2 (0.61 m)=96.8 m/s^2 \sim 96 m/s^2`