Suppose a 3.00-N force can rupture an eardrum. (a) If the eardrum has an area of 1.00

Question:

Suppose a 3.00-N force can rupture an eardrum.

(a) If the eardrum has an area of 1.00 cm2, calculate the maximum tolerable gauge pressure on the eardrum in newtons per meter squared and convert it to millimeters of mercury.

(b) At what depth in freshwater would this person's eardrum rupture, assuming the gauge pressure in the middle ear is zero?

Strategy for (a)

The pressure can be found directly from its definition since we know the force and area. We are looking for the gauge pressure.

Strategy for (b)
Here we will use the fact that the water pressure varies linearly with depth below the surface.

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