In an aviation test lab, pilots are subjected to vertical oscillations on a shaking rig to see how well they can recognize objects in times of severe airplane vibration. The frequency can be varied from 0.0190 to 38.3 Hz and the amplitude can be set as high as 2.08 m for low frequencies. What is the maximum velocity to which the pilot is subjected if the frequency is set at 22.0 Hz and the amplitude at 1.71 mm?

1 answer

1.71 mm = 1.71*10^-3 m

y = 1.71*10^-3 * sin (44 pi t)
v = 1.71*10^-3 *44 pi *cos(44 pi t)
max v = 44 pi * .00171 meters/second