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Answer: In a lecture demonstration, a professor pulls
Chapter 12, Problem 51P(choose chapter or problem)
Problem 51P
In a lecture demonstration, a professor pulls apart two hemispherical steel shells (diameter D) with ease using their attached handles. She then places them together, pumps out the air to an absolute pressure of p, and hands them to a bodybuilder in the back row to pull apart. (a) If atmospheric pressure is p0, how much force must the bodybuilder exert on each shell? (b) Evaluate your answer for the case p = 0.025 atm, D = 10.0 cm.
Questions & Answers
QUESTION:
Problem 51P
In a lecture demonstration, a professor pulls apart two hemispherical steel shells (diameter D) with ease using their attached handles. She then places them together, pumps out the air to an absolute pressure of p, and hands them to a bodybuilder in the back row to pull apart. (a) If atmospheric pressure is p0, how much force must the bodybuilder exert on each shell? (b) Evaluate your answer for the case p = 0.025 atm, D = 10.0 cm.
ANSWER:Solution to 51P
Step 1 of 2
Introduction
The pressure applied on a cross sectional area is equal to the perpendicular force applied per unit cross sectional area.
Pressure inside the shell=0.025atm=2533.125Pa
Air pressure outside the shell=101325 Pa
Diameter of the shell=10.0cm=0.1m
Radius of the shell=0.05m