19. Fluid Mechanics

Intro to Pressure

GCSE Physics - What is Pressure?  #48

Oceans on Mars. Scientists have found evidence that Mars may once have had an ocean 0.500 km deep. The acceleration due to gravity on Mars is 3.71 m/s^2. (a) What would be the gauge pressure at the bottom of such an ocean, assuming it was freshwater? (b) To what depth would you need to go in the earth’s ocean to experience the same gauge pressure?

Exploring Venus. The surface pressure on Venus is 92 atm, and the acceleration due to gravity there is 0.894g. In a future exploratory mission, an upright cylindrical tank of benzene is sealed at the top but still pressurized at 92 atm just above the benzene. The tank has a diameter of 1.72 m, and the benzene column is 11.50 m tall. Ignore any effects due to the very high temperature on Venus. (b) What force does the Venusian atmosphere exert on the outside surface of the bottom of the tank?

BIO In intravenous feeding, a needle is inserted in a vein in the patient’s arm and a tube leads from the needle to a reservoir of fluid (density 1050 kg/m^3) located at height h above the arm. The top of the reservoir is open to the air. If the gauge pressure inside the vein is 5980 Pa, what is the minimum value of h that allows fluid to enter the vein? Assume the needle diameter is large enough that you can ignore the viscosity of the liquid.

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Calculating Pressure in Liquids

You are designing a diving bell to withstand the pressure of seawater at a depth of 250 m. (a) What is the gauge pressure at this depth? (You can ignore changes in the density of the water with depth.) (b) At this depth, what is the net force due to the water outside and the air inside the bell on a circular glass window 30.0 cm in diameter if the pressure inside the diving bell equals the pressure at the surface of the water? (Ignore the small variation of pressure over the surface of the window.)

The deepest known point on Earth is called the Mariana Trench, at ~11,000 m (~36,000 ft). If the surface area of the average human ear is 20 cm2, how much average force would be exerted on your ear at that depth?<img src="https://cdn.clutchprep.com/problem_images/76115-2283f9ed252b9af3.png" alt="" />

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(a) 1.2×104 N; (b) 1200 Pa

(a) 1.2×105 N; (b) 120 Pa

(a) 1.2×105 N; (b) 1200 Pa

(a) 1.2×106 N; (b) 120 Pa

A large warehouse is 100 m wide, 100 m deep, 10 m high: a) What is the total weight of the air inside the warehouse? b) How much pressure does the weight of the air apply on the floor?

Suppose the average speed of blood in the aorta is <math display=“inline”><mrow><mn>0</mn><mo>.</mo><mn>26</mn><mtext></mtext><mtext>&#x00A0;m/s</mtext></mrow></math>, and the diameter is </IM>2.0 cm.</IM> What is the pressure gradient in this aorta due to the viscosity of blood (assume a human body temperature)?

Pressure In Air and In Liquids

BIO. The lower end of a long plastic straw is immersed below the surface of the water in a plastic cup. An average person sucking on the upper end of the straw can pull water into the straw to a vertical height of 1.1 m above the surface of the water in the cup. (a) What is the lowest gauge pressure that the average person can achieve inside his lungs? (b) Explain why your answer in part (a) is negative.

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What is PRESSURE? Simple Physics tutorial

Introduction to Pressure & Fluids - Physics Practice Problems

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Fbot − Ftop = 800 N

Fbot − Ftop = 1000 N

Fbot − Ftop = 8,000 N

Fbot − Ftop = 10,000 N

A wooden cube, 1 m on all sides and having density 800 kg/m3 , is held under water in a large container by a string, as shown below. The top of the cube is exactly 2 m below the water line. Calculate the difference between the force applied by water to the top and to the bottom faces of the cube (Hint:calculate the two forces, then subtract.&nbsp;Use g=10 m/s2.)<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/6d33eef7"alt=""/>

A closed container is partially filled with water. Initially, the air above the water is at atmospheric pressure (1.01×10^5 Pa) and the gauge pressure at the bottom of the water is 2500 Pa. Then additional air is pumped in, increasing the pressure of the air above the water by 1500 Pa. (a) What is the gauge pressure at the bottom of the water?

A tall cylindrical beaker 10 cm in radius is placed on a picnic table outside. You pour 5 L of an 8,000 kg/m3 liquid and 10 L of a 6,000 kg/m3 liquid into. Calculate the total pressure at the bottom of the beaker. (Use g=10 m/s2.)<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/8f2a5d19"alt=""/>

 There is not enough information to answer the question. 

The pressure gradient in a pipe carrying water is <math display=“inline”><mrow><mrow><mn>600</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">Pa</mi></mrow><mo>/</mo> <mi mathvariant="normal" class="MathML-Unit">m</mi><mo>.</mo></mrow></math> What pressure gradient would be required to maintain the same flow rate in the same pipe if it were carrying olive oil? Treat the flow as the flow of a viscous fluid. The viscosity of water is <math display=“inline”><mrow><mn>1.0</mn><mo>&#x00D7;</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>&#x2212;</mo><mn>3</mn></mrow></msup><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">Pa</mi><mo>&#x22C5;</mo><mi mathvariant="normal" class="MathML-Unit">s</mi></mrow></math> and the viscosity of olive oil is <math display=“inline”><mrow><mn>8.2</mn><mo>&#x00D7;</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>&#x2212;</mo><mn>2</mn></mrow></msup><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">Pa</mi><mo>&#x22C5;</mo><mi mathvariant="normal" class="MathML-Unit">s</mi></mrow></math>.

BIO. There is a maximum depth at which a diver can breathe through a snorkel tube (Fig. E12.17) because as the depth increases, so does the pressure difference, which tends to collapse the diver’s lungs. Since the snorkel connects the air in the lungs to the atmosphere at the surface, the pressure inside the lungs is atmospheric pressure. What is the external– internal pressure difference when the diver’s lungs are at a depth of 6.1 m (about 20 ft)? Assume that the diver is in fresh-water. (A scuba diver breathing from compressed air tanks can operate at greater depths than can a snorkeler, since the pressure of the air inside the scuba diver’s lungs increases to match the external pressure of the water.)<img src="https://lightcat-files.s3.amazonaws.com/problem_images/2285c6b18a2bb09f-1673554250349.jpg" alt="" />

What is Pressure? | Physics | Don't Memorise

Pressure - Intro to Physics

Pressure and Atmospheric Pressure

At point A, a hose ejects water at a speed of <math display=“inline”><mrow><mn>5</mn><mo>.</mo><mn>10</mn><mtext></mtext><mtext>&#x00A0;m/s</mtext></mrow></math>. Point B is upstream from, and 30.0 cm above, the outlet. If the water is moving at <math display=“inline”><mrow><mn>2</mn><mo>.</mo><mn>40</mn><mtext></mtext><mtext>&#x00A0;m/s</mtext></mrow></math> at point B, what is the internal pressure of the water at B? Use <math display=“inline”><mrow><mn>101</mn><mo>.</mo><mn>3</mn><mtext>&#x00A0;</mtext><mtext>kPa</mtext></mrow></math> for atmospheric pressure and <math display=“inline”><mrow><mn>1000</mn><msup><mrow><mtext>&#x00A0;</mtext><mtext>kg/m</mtext></mrow><mn>3</mn></msup></mrow></math> for the density of water.

BIO. Ear Damage from Diving. If the force on the tympanic membrane (eardrum) increases by about 1.5 N above the force from atmospheric pressure, the membrane can be damaged. When you go scuba diving in the ocean, below what depth could damage to your eardrum start to occur? The eardrum is typically 8.2 mm in diameter. (Consult Table 12.1.)

A barrel contains a 0.120-m layer of oil floating on water that is 0.250 m deep. The density of the oil is 600 kg/m^3. (a) What is the gauge pressure at the oil–water interface? (b) What is the gauge pressure at the bottom of the barrel?

Gas Pressure: The Basics

Introduction to Pressure

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