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WorksheetsFluids Review (April 13, 2022)
Total questions: 15
Worksheet time: 8mins
In a large tank of liquid, the hydrostatic pressure at a given depth is a function of:
depth of liquid
volume of container
density of liquid
shape of container
What is the total force on the bottom of a 4.0-m-diameter by 1.5-m-deep round wading pool due to the weight of the air and the weight of the water? (Note the pressure contribution from the atmosphere is 1.0 × 105 N/m2, the density of water is 1000 kg/m3, and g = 9.8 m/s2.)
14.4 × 105 N
57.7 × 105 N
2.5 × 106 N
15.9 × 106 N
The highest atmospheric pressure ever recorded was 108,380 Pa. How many centimeters of mercury in a barometer does this correspond to? (the density of mercury is 13.6 x 103 kg/m3 and g = 9.80 m/s2)
81.3 cm
0.813 cm
73.8 cm
0.738 cm
A 1360-kg pick up truck on a hydraulic lift rests on a cylinder with a piston of radius 0.10 m. If a connecting cylinder with a piston of 0.050-m radius is driven by compressed air, what force must be applied to this smaller piston in order to lift the truck?
3330 N
340 N
53310 N
5440 N
A piece of aluminum has density 2.70 g/cm3 and mass 756 g. The aluminum is submerged in a container of oil (oil's density = 0.650 g/cm3). How much oil does the metal displace?
280 cm3
182 cm3
431 cm3
3140 cm3
A block of wood has density 0.50 g/cm3 and mass 1000 g. It floats in a container of oil (the oil's density is 0.75 g/cm3). What volume of oil does the wood displace?
2000 cm3
1333 cm3
750 cm3
500 cm3
As ice floats in water, about 10% of the ice floats above the surface of the water. If we float some ice in a glass of water, what will happen to the water level as the ice melts?
The water level will rise 10% of the volume of the ice that melts.
The water level will rise, but not as much as 10%.
The water level will remain unchanged.
The water level will become lower.
A large stone is resting on the bottom of the swimming pool. The normal force of the bottom of the pool on the stone is equal to the:
weight of the stone.
weight of the water displaced.
sum of the weight of the stone and the weight of the displaced water.
difference between the weight of the stone and the weight of the displaced water.
The flow rate of a liquid through a 4.0-cm-radius pipe is 0.0070 m3/s. The average fluid speed in the pipe is:
0.04 m/s.
0.005 m/s.
0.14 m/s.
1.4 m/s.
Think of Bernoulli's equation as it pertains to an ideal fluid flowing through a horizontal pipe. Imagine that you take measurements along the pipe in the direction of fluid flow. What happens to the sum of the pressure and energy per unit volume?
It increases as the pipe diameter increases.
It decreases as the pipe diameter increases.
It remains constant as the pipe diameter increases.
No choices above are valid.
An ideal fluid, of density 0.85 × 103 kg/m3, flows at 0.28 kg/s through a pipe of radius 0.017 m. What is the fluid speed?
3.34 m/s
0.0031 m/s
308.4 m/s
0.36 m/s
An ideal fluid, of density 0.90 × 103 kg/m3, flows at 5.0 m/s through a level pipe with radius of 0.5 cm. The pressure in the fluid is 1.3 × 105 N/m2. This pipe connects to a second level pipe, with radius of 1.4 cm. Find the speed of flow in the second pipe.
39.2 m/s
1.79 m/s
0.64 m/s
5.13 m/s
Water (density = 1 × 103 kg/m3) flows at 15 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 3.0 m higher, and the pressure remains unchanged. What is the speed of the water flow in the pipe on the second floor?
13 m/s
17 m/s
16 m/s
14 m/s
Water comes down the spillway of a dam from an initial vertical height of 165 m. What is the highest possible speed of the water at the end of the spillway?
6 m/s
18 m/s
57 m/s
68 m/s
Airplanes can achieve lift largely due to which of these?
Newton's 3rd law
Pascal's Principle
Bernoulli's Principle
Newton's 1st law
Archimedes' Principle
