Question #304767

A box-shaped metal can has dimensions 7 in. by 12 in. by 3 in. high. All of the air inside the can is removed with a vacuum pump. Assuming normal atmospheric pressure outside the can, find the total force (in lb) on one of the 7-by-3 in. sides. (Enter the magnitude.)



1
Expert's answer
2022-03-02T14:38:43-0500

The force is


F=pAF = pA

where p=14.7lb/in2p = 14.7lb/in^2 is the normal pressure, and A=7×3in2=21in2A = 7\times 3in^2 = 21in^2 is the area of one side. Thus, obtain:


F=14.7lb/in221in2309lbF = 14.7lb/in^2\cdot 21in^2 \approx 309lb

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