Question

When responding to sound, the human eardrum vibrates about its equilibrium position. Suppose an eardrum is vibrating with an amplitude of 5.5 x10^-7 m and a maximum speed of 2.2 x10^-3 m/s. (a) What is the frequency (in Hz) of the eardrum's vibrations? (b) What is the maximum acceleration of the eardrum?

Answer 1

Somo-simple hormonics equation of position x lt) = Asinut - Speed vit) z dnit) - dla sinutt =AWCES WE at dt maximum speed (max) = AW a acceleration alt=dult) - d LAW Coswt) lalt) 1 = Aw²sinut maximum acceleration (amax) = Aw2 - Here given, A=s.sxcom, Vmax=202 X 15 3 m/s - Vmax _ 2020 103 m/s Now (w)= A sosx 10lm w = nooo rad's . nooorad's=636.62 H 2. @ frequency (8) = W = 21 6 Maximum acceleration amax = Aw²=(5.sxlolm) (nooo rad/s) ² Tamax = 8.8 m/s2