When responding to sound, the human eardrum vibrates about its equilibrium position. Suppose an eardrum is vibrating with an amplitude of 6.7 x10-7 m and a maximum speed of 3.9 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

d=Asin(2PIf)t

v= 2PIf*A cos(2PIft)

you are given A, and v, and A, solve for f.

a= (2PIf)^2 A sin(2PIft)

now solve for acceleration a