Question

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 0.0240 to 39.1 Hz and the amplitude can be set as high as 1.87 m for low frequencies.

A) What is the maximum velocity to which the pilot is subjected if the frequency is set at 20.9 Hz and the amplitude at 1.94 mm?

B) What is the maximum acceleration to which the pilot is subjected if the frequency is set at 20.9 Hz and the amplitude at 1.94 mm?

Answer 1

V(max)=a*2*pi*f=1.94*20.9*3.14*2=25.86cm/s
a(max)=v(max)*2*pi*f=3393cm/s^2