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Chapter 14: Q15P (page 407)

What gauge pressure must a machine produce in order to suck mud of density 1800 kg/m3up a tube by a height of 1.5 m?

Short Answer

Expert verified

Gauge pressure to suck the mud is

Step by step solution

01

The given data

  1. Density of mud,p=1800kg/m3
  2. Height of the tube,h=1.5m
02

Understanding the concept of hydrostatic pressure

We can use the formula for hydrostatic pressure in terms of density, gravitational acceleration, and height to solve for gauge difference. Hydrostatic pressure is that, which is exerted by a fluid at any point of time at equilibrium due to the force applied by gravity.

Formula:

Net pressure applied on a fluid surface,∆p=pgh (i)

03

Calculation of gauge pressure

Gauge pressure to suck the mud can be found using equation (i) and the given values as:

∆p=-1800×9.8×1.5=-2.6×104Pa

Hence, the pressure required is-2.6×104Pa

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Most popular questions from this chapter

The plastic tube in Figure has a cross-sectional area of5.00cm2. The tube is filled with water until the short arm (of lengthd=0.800m) is full. Then the short arm is sealed and more water is gradually poured into the long arm. If the seal will pop off when the force on it exceeds9.80N, what total height of water in the long arm will put the seal on the verge of popping?

A partially evacuated airtight container has a tight-fitting lid of surface area77m2and negligible mass. If the force required removing the lid is 480 N and the atmospheric pressure is1.0×105Pa, what is the internal air pressure?

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The sewage outlet of a house constructed on a slope is 6.59mbelow street level. If the sewer is localid="1657605982734" 2.16mbelow street level, find the minimum pressure difference that must be created by the sewage pump to transfer waste of average density localid="1657605999636" 1000.00kg/m3from outlet to sewer.

Suppose that your body has a uniform density of0.95times that of water. (a) If you float in a swimming pool, what fraction of your body's volume is above the water surface? Quicksand is a fluid produced when water is forced up into sand, moving the sand grains away from one another so they are no longer locked together by friction. Pools of quicksand can form when water drains underground from hills into valleys where there are sand pockets. (b) If you float in a deep pool of quicksand that has a density 1.6times that of water, what fraction of your body's volume is above the quicksand surface? (c) Are you unable to breathe?
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