Under normal circumstances, the vitreous humor, a jelly-like substance in the ma

Question

Under normal circumstances, the vitreous humor, a jelly-like substance in the main part of the eye, exerts a pressure of up to 24.0 mm of mercury that maintains the shape of the eye.

- If blockage of the drainage duct for aqueous humor causes this pressure to increase to about 50.0 mm of mercury, the condition is calledglaucoma.What is theincreasein the total force (in newtons) on the walls of the eye if the pressure increases from 24.0 mm to 50.0 mm of mercury? We can quite accurately model the eye as a sphere 2.60 cm in diameter.

Explanation / Answer

The Pressure will be acting over the surface area Change in head h = 50 - 24 = 26 mm ==> Pressure Change = ? g h = 13.6 x 10³ x 9.81 x 26 x 10?³ = 3.47 x 10³ Pa Surface Area of sphere = p D² = p (2.5 x 10?²)² = 0.0196 x 10?³ sq. m Hence, Force Exetred = Pressure x Total Area = 3.47 x 10³ x 0.0196 x 10?³ = 0.068 N

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