Q: A person is standing at sea level where atmospheric pressure is $$1.013 \times 10^5$ Pa. If the area of the top of their head is 0.05$$\ \mathrm{m}^2$$, what is the total force exerted by the atmosphere on the top of their head?

$$5.07 \times 10^3$\ \mathrm{N}$$

Q: A U-tube manometer is filled with mercury ($$\rho = 13,600\ \mathrm{kg/m}^3). If $$the height difference between the two arms is $$0.10\ \mathrm{m}$$, what is the pressure difference between the two sides in Pa?

$$1.33 \times 10^4$\ \mathrm{Pa}$$

Q: A submarine is at a depth where the water pressure is $$3.0 \times 10^6$ Pa. If the area of a hatch is 0.50$$\ \mathrm{m}^2$$, what is the total force exerted by the water on the hatch?

$$1.5 \times 10^6$\ \mathrm{N}$$

Q: A patient’s blood pressure is measured as 120 mm Hg. What is this pressure in Pascals? ($$1\ \mathrm{mm\ Hg} = 133\ \mathrm{Pa})$$

$$1.60 \times 10^4$\ \mathrm{Pa}$$

Question 1

A person is standing at sea level where atmospheric pressure is $$1.013 	imes 10^5$ Pa. If the area of the top of their head is 0.05$$\ \mathrm{m}^2$$, what is the total force exerted by the atmosphere on the top of their head?

Accepted Answer

$$5.07 	imes 10^3$\ \mathrm{N}$$

Question 2

A tire gauge reads a pressure of 220 kPa. If atmospheric pressure is 101 kPa, what is the absolute pressure inside the tire?

Accepted Answer

$$321\ \mathrm{kPa}$$

Question 3

A U-tube manometer is filled with mercury ($$\rho = 13,600\ \mathrm{kg/m}^3). If $$the height difference between the two arms is $$0.10\ \mathrm{m}$$, what is the pressure difference between the two sides in Pa?

Accepted Answer

$$1.33 	imes 10^4$\ \mathrm{Pa}$$

Question 4

Which of the following best describes Pascal’s Principle?

Accepted Answer

An external pressure applied to a confined fluid is transmitted undiminished throughout the fluid.

Question 5

A hydraulic lift has an input piston of area $$0.01\ \mathrm{m}^2$$ and an output piston of area $$0.5\ \mathrm{m}^2. If a $$force of $$200\ \mathrm{N} is $$applied to the input piston, what is the output force?

Accepted Answer

$$10,000\ \mathrm{N}$$

Question 6

A barometer measures atmospheric pressure using a column of mercury. If the atmospheric pressure is $$1.013 	imes 10^5$ Pa, what is the height of the mercury column? (Density of mercury = 13$$,600\ \mathrm{kg/m}^3$$, g = 9.8$$\ \mathrm{m/s}^2$$)

Accepted Answer

$$0.760\ \mathrm{m}$$

Question 7

A block of wood floats in water with 70% of its volume submerged. What is the specific gravity of the wood?

Accepted Answer

$$0.70$$

Question 8

A cube of metal with volume $$0.01\ \mathrm{m}^3 is $$completely submerged in oil ($$\rho = 800\ \mathrm{kg/m}^3). $$What is the magnitude of the buoyant force acting on the cube?

Accepted Answer

$$78.4\ \mathrm{N}$$

Question 9

A river narrows from a width of $$10\ \mathrm{m} to$$ $$5\ \mathrm{m}$$, and the depth remains constant. If the speed of water in the wide section is $$2\ \mathrm{m/s}$$, what is the speed in the narrow section?

Accepted Answer

$$4\ \mathrm{m/s}$$

Question 10

According to Bernoulli’s equation, what happens to the pressure in a fluid as its velocity increases, assuming height remains constant?

Accepted Answer

The pressure decreases.

Question 11

A water tank has a small hole at a depth of $$2\ \mathrm{m}$$ below the water surface. What is the speed of water exiting the hole? ($$g = 9.8\ \mathrm{m/s}^2)$$

Accepted Answer

$$6.26\ \mathrm{m/s}$$

Question 12

A ping-pong ball is held in a vertical stream of air from a hair dryer and remains suspended. Which principle best explains this phenomenon?

Accepted Answer

Bernoulli’s Principle

Question 13

A submarine is at a depth where the water pressure is $$3.0 	imes 10^6$ Pa. If the area of a hatch is 0.50$$\ \mathrm{m}^2$$, what is the total force exerted by the water on the hatch?

Accepted Answer

$$1.5 	imes 10^6$\ \mathrm{N}$$

Question 14

A patient’s blood pressure is measured as 120 mm Hg. What is this pressure in Pascals? ($$1\ \mathrm{mm\ Hg} = 133\ \mathrm{Pa})$$

Accepted Answer

$$1.60 	imes 10^4$\ \mathrm{Pa}$$

Question 15

A block of unknown material weighs 50 N in air and 30 N when fully submerged in water. What is the density of the block? ($$\rho_{water} = 1000\ \mathrm{kg/m}^3)$$

Accepted Answer

$$2500\ \mathrm{kg/m}^3$$

Question 16

A hospital uses a hydraulic lift to raise patients. If the input piston has a diameter of $$2\ \mathrm{cm}$$ and the output piston has a diameter of $$20\ \mathrm{cm}$$, what is the mechanical advantage of the lift?

Accepted Answer

100

Question 17

A weather balloon rises through the atmosphere. As it ascends, the external pressure decreases. What happens to the volume of the balloon, assuming temperature remains constant?

Accepted Answer

The volume increases.

Question 18

A fluid flows through a horizontal pipe that narrows from a cross-sectional area of $$0.10\ \mathrm{m}^2 to$$ $$0.02\ \mathrm{m}^2. If $$the speed in the wider section is $$1\ \mathrm{m/s}$$, what is the speed in the narrow section?

Accepted Answer

$$5\ \mathrm{m/s}$$

Question 19

A house has a roof area of $$200\ \mathrm{m}^2. $$During a storm, the wind speed over the roof is $$40\ \mathrm{m/s}$$, while inside the house the air is still. If the density of air is $$1.3\ \mathrm{kg/m}^3$$, what is the net upward force on the roof due to the pressure difference? (Use $$\Delta P = \frac{1}{2}\rho v^2$)

Accepted Answer

$$208,000\ \mathrm{N}$$

Fluid Statics and Dynamics: Pressure, Buoyancy, and Flow

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