Amplitude and Pressure Wave: Pa Homework

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The discussion revolves around a homework problem involving the calculation of force on the eardrum due to a pressure wave, as well as the subsequent force exerted by the bones in the middle ear and the pressure increase in the cochlea. Participants clarify the necessary unit conversions, specifically converting cm² to m², emphasizing the importance of squaring the conversion factor. The initial poster expresses confusion about how to start the calculations, particularly regarding the application of the formula F = pressure × area. Guidance is provided on the correct method for unit conversion, leading to a successful understanding of the problem. Overall, the conversation highlights the importance of proper unit handling in physics calculations.
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Webassign night again!

Homework Statement


During normal conversation, the amplitude of a pressure wave is 0.023 Pa.
(a) If the area of the eardrum is 0.56 cm2, what is the force on the eardrum?
N

(b) The mechanical advantage of the three bones in the middle ear is 1.5. If the force in part a is transmitted undiminished to the bones, what force do the bones exert on the oval window, the membrane to which the third bone is attached?
N

(c) The area of the oval window is 0.026 cm2. What is the pressure increase transmitted to the liquid in the cochlea?
Pa



Homework Equations


I'd assume I'd be using dB=20log(P/P) But I'm not sure how to apply that to any of these equations.


The Attempt at a Solution


Can't even figure out where to start. I'm sure with some starting advice, or at least how to solve the first part I could figure it out.
 
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Maybe you could start with F = pressure * area
 
well, to convert cm^2 to m^2 do I have to do anything special besides just dividing by 100?
 
bnwchbammer said:
well, to convert cm^2 to m^2 do I have to do anything special besides just dividing by 100?

You have to do more than divide by 100. If it was converting cm --> m dividing by 100 would be ok.

Think of it this way in terms of multiplication- You want to cancel the units until you have m^2.

So-

1cm^2 *(1m^2)/(100^2 cm^2) = .0001 m^2.

So you know there are 100 cm in a meter. So if everything is squared, that must mean that there are 100^2 cm^2 in a m^2. So as you see above, when looking at the units, the cm^2's cancel out and you are left with m^2.
 
Should'a been able to figure that out, but got it now. 100% on webassign, all right. Thanks for helpin me out guys.
 
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