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EC MasteringPhysics: uid mechanics Google Chrome https:// mastering physics.com 58678824 Session Close ASU PHY 111 Spring 2016 10577 HW13-Fluid mechanics Problem 13.22: Ear damage from diving Resources previous l 2 of 10 I next Problem 13.22 ar damage from diving Part A If the force on the tympanic membrane (eardrum) increases When you go scuba diving in the ocean, below what depth could damage to your eardrum start to occur? The eardrum is typically 8.3 mm in diameter. by about 1.5 N above the force from atmospheric pressure, Take the density of seawater to be equal 1.03 x 103 kg/m3 the membrane can be damaged. Express your answer using two significant figures h 2.81 Submit My Answers Give U Incorrect, Try Again, 9 attempts remaining Provide Feedback Continue

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Ans:-

I tried to work out the length of a column of sea-water that is 8.3mm diameter and has a weight (force = mass x acceleration due to gravity) of 1.5 newtons.

Working:

1. volume of a cylinder = (area of circle) x (length of cylinder).

2. area of a circle = pi x radius squared

3. diameter = 2 x radius

4. 1 meter = 1000 mm (8.3mm =0 .0083m)

5. mass of a solid = volume x density

6. force = mass x acceleration (due to gravity)

So:

Force = ( volume of column x density of sea water ) x g
1.5 = (pi x 0.0083/2 ^ 2) x depth x 1.03 x 10^3 x 9.81
1.5 = 0.546 x depth

depth = 2.75m

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