Question

A device for acclimating military pilots to the high accelerations they must experience consists of a horizontal beam that rotates horizontally about one end while the pilot is seated at the other end. In order to achieve a radial acceleration of 34.1 m/s2 with a beam of length 5.91 m, what rotation frequency is required?

Answer 1

centripetal acceleration is given by formula

`a_c = \omega^2*R`

given that

`a_c = 34.1 m/s^2`

`R  =  5.91 m`

now we have

`\omega^2 R = 34.1`

`\omega^2 * 5.91 = 34.1`

`\omega^2 = 5.77`

`\omega = 2.4 rad/s`

so the ratationa frequency is given by

`\omega = 2 \pi f`

`2.4 = 2 \pi f`

`f = (2.4)/(2\pi)`

`f = 0.38 Hz`