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Chapter 14: Q.11 (page 384)

A 20-cm-diameter circular cover is placed over a 10-cm-diameter hole that leads into an evacuated chamber. The pressure in the chamber is 20 kPa. How much force is required to pull the cover off?

Short Answer

Expert verified

Force needed is 638 N

Step by step solution

01

Given information

A 20-cm-diameter circular cover is placed over a 10-cm-diameter hole that leads into an evacuated chamber.

The pressure in the chamber is 20 kPa.

02

Explanation

Force needed can be calculated by

Force = difference in pressure x area of plate

F=P2-P1×A........................(1)F=P2-P1×πr2P1=20000PaP2=101325Par=0.05m

Now substitute the values in equation (1) and calculate

F=(101325-20000)×3.14×(0.05)2=638N

Force needed is 638 N.

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