# Review. The tank in Figure P14.15 is filled with water of depth d . At the bottom of one sidewall is a rectangular hatch of height h and width xv that is hinged at the top of the hatch, (a) Determine the magnitude of the force the water exerts on the hatch, (b) Find the magnitude of the torque exerted by the water about the hinges.

### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

Chapter
Section

### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 14, Problem 14.16P
Textbook Problem
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## Review. The tank in Figure P14.15 is filled with water of depth d. At the bottom of one sidewall is a rectangular hatch of height h and width xv that is hinged at the top of the hatch, (a) Determine the magnitude of the force the water exerts on the hatch, (b) Find the magnitude of the torque exerted by the water about the hinges.

(a)

To determine

The magnitude of force that the water exerts on the hatch.

### Explanation of Solution

Given info: The depth of water in the tank is d , the height of the hatch is h and the width of the hatch is w .

Consider the following figure.

Figure (1)

The figure (1) represents the one side tank on which hatching is done.

Consider a strip of water with depth dh and width w .

The expression for the area of the elemental strip is,

dA=wdh

The expression for the pressure is,

P=ρgh

Here,

ρ is the density of the water.

g is the gravitational acceleration.

h is the height.

The expression for the pressure on the elemental strip is,

dF=PdA

Substitute wdh for dA and ρgh for P is above expression

(b)

To determine

The magnitude of the torque exerted by the water about the hinges.

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