Question #51c44

1 Answer
Jan 26, 2017

#4.17xx10^5N#, rounded to two decimal places

Explanation:

We know that

  1. Absolute Pressure by definition is is zero-referenced against perfect vacuum.

  2. Gauge Pressure is zero-referenced against ambient atmospheric pressure.

Therefore, Absolute Pressure is equal to gauge pressure #+# atmospheric pressure.

In the given problem we have

Absolute pressure and Gauge pressure is #104atm and 103atm# respectively.
As such outside pressure acting on the window of submarine while at a depth of #1000m=104atm#
Inside pressure is maintained at sea level pressure#=1atm#
Net inward pressure acting on the window#=104-1=103atm#

We know that Pressure of #1 atm = 101325 Nm^-2#
Also Pressure#="Force"/"Area"#

#:.#Force acting on the window#="Pressure"xx"Area of window"#
Inserting above values we get
Force acting on the window#=103xx101325xx(0.2xx0.2)#
#=4.17xx10^5N#, rounded to two decimal places