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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 for submarine is 3158 m.

Step by step solution

01

Given information

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106N(1029kg/m3)脳(9.8m/s2)脳3.14脳(0.1m)2h=3158m

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