Using a highly sensitive parabolic sound collector, Sara records the frequency of a tuning fork as it drops into the Grand Canyon. She drops the vibrating tuning fork form rest at t=0. She records a frequency of 1783.0Hz at t=8.590s. What is the natural frequency of the tuning fork? Use Vsound=343.0 m/s
The Attempt at a Solution
Ok, I know the that the frequency of listener is 1783.0 Hz, that the velocity of the listener is zero, and the velocity of sound is given. My biggest problem is figuring out the velocity of source.
I have tried
v=g*t= 9.8*8.590 = 84.182m/s,
but that turned out not to be the velocity. Then I thought I need to find the distance so I did
d=(1/2)*g*t^2 =(1/2)*9.8*8.590^2 = 361.56 m,
then used the d to find the v by simply doing
v=d/t = 361.56/8.590=42.091 m/s.
However that was incorrect. How do I solve for the velocity of the source?