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Chapter 14: Q.10 (page 384)

A research submarine has a 20-cm-diameter window 8.0 cm thick. The manufacturer says the window can withstand forces up to 1.0 * 106 N. What is the submarine鈥檚 maximum
safe depth? The pressure inside the submarine is maintained at 1.0 atm.

Short Answer

Expert verified

Safe depth = 3158 m.

Step by step solution

01

Given

Submarine has a 20-cm-diameter window 8.0 cm thick.

The window can withstand forces up to 1.0 * 106 N.

The pressure inside the submarine is maintained at 1.0 atm.

02

Explanation

We can calculate pressure

P=h蚁g ........................(1)

We can calculate pressure using P = Force / Area

P = F/A ........................................(2)

From equation 1 and 2

FA=h蚁g鈬�h=FA蚁gSubstitutevaluesA=蟺r2

Substitute values given , we get

h=1.0脳1061029脳9.8脳3.14脳(0.1)2h=3158m

So depth is 3158m

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