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#9 a-b (10%) Problem 9: Hydrocephalus is a condition in which the gauge pressure

ID: 1796004 • Letter: #

Question

#9 a-b

(10%) Problem 9: Hydrocephalus is a condition in which the gauge pressure of the fluid surrounding an infant's brain may rise to as high as S5.0 mm Hg (5 to 12 mm Hg is normal), creating an outward force large enough to make the skull grow abnormally large 5000 Part (a) Calculate this outward force, in newtons, on each side of an infant's skull if the effective area of each side is 70.5 50% Part (b) What is the net force, in newtons, acting on the skull? Grade Su Deduction Potential net sin() | cos() | tan() | | (1) 17| 8| 9|Host cotan asin acos atanacotan iho cosh tanhcoth Submissio Attemptsr (100 per at detailed vi 4 5 6 e Degrees Radians Submit Hint

Explanation / Answer

Guage pressure P=85 mm of Hg = 11332.4 Pascal

The outward force on each side of an infant's skull is

Pressure = Force / Area

Force = Pressure x Area

=11332.4 N/m2 x 0.00705 m2

= 79.89 Newtons

Which is the outward force on each side of an infan't skull

(B) The buoyant force that is supplied by the fluid nearly equal to the weight of the brain, because their densities are nearly equal, if there is loss of fluid the brain rests on inside the skull causing a severe headache, constricted bloow flow and serious damage.

Hence the net force acting on the skull is zero.