Finding speed of sound in an object

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To find the speed of sound in a metal bar, the problem involves a 4.17 m long bar where sound travels through both metal and air, with a time separation of 6.64 ms between the two pulses. The speed of sound in air is given as 343 m/s. The initial calculations attempted to determine the travel time for sound in air and then used that to find the speed in metal, resulting in an incorrect speed of 221.8 m/s. The user realized their mistake after posting and noted the inability to delete the post. Sound travels faster in metal than in air, highlighting the difference in sound propagation speeds in various materials.
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Homework Statement


"A hammer taps on the end of a 4.17 m long metal bar at room temperature. A microphone at the other end of the bar picks up two pulses of sound, one that travels through the metal and one that travels through the air. The pulses are separated in time by 6.64 ms. What is the speed of sound in this metal?(the speed of sound in air is 343 m/s)"


Homework Equations


v=d/t


The Attempt at a Solution


I tried approaching this question by finding the amount of time it takes each sound to travel the total distance, 4.17m.
v(air) = d /t
t = d/v = 4.17 / 343 = 0.01216s
v(metal) = d/t = 4.17 / (0.006640 + 0.01216) = 221.8m/s

Still not getting the right answer though...
 
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Would sound travel faster through air or through metal?
 
diazona said:
Would sound travel faster through air or through metal?

Yeah, I just realized my mistake after I posted the question. I couldn't figure out how to delete a post.

Thanks, though!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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