Exam 9: Fluids

The foot pedal on hydraulic brake system exerts a force of 45 lb on a piston with a diameter of 1.00 cm. The brake fluid in the brake system exerts the pressure from the foot pedal on a brake pad piston with a diameter of 2.50 cm. The force on the brake pad is

A hydraulic lift has a small piston with a diameter 5.0 cm piston and the large piston with a diameter of 25 cm. What force must be applied to the small piston in order to lift a car on the large piston that weighs 13,000 N?

Two spheres are made of wood-the first is of a variety of wood whose density is equal to that of water, while the second is of a variety whose density is greater than that of water. These spheres have the same volume, and the first remains wherever it is placed in the water (so it is effectively suspended in mid-water). The second rests on the bottom, being more dense than water. Compare the buoyant forces on the two spheres.

A submarine is at a depth of 500 m under the water. The force on a circular hatch of diameter 1.00 m due to the seawater (density = 1,025 kg/m³) pressure from outside the submarine is

A viscous fluid is flowing through a small tube at a rate of 0.400 m3/s. If the pressure difference across the tube is tripled and the length of the tube is doubled, and the radius is also doubled, then what is the new rate of flow of the fluid?

A mercury manometer measures a pressure of 200 mmHg. What is this pressure in atm?

A baseball (0.145 kg, circumference 229 mm) is held completely underwater in the ocean (density of seawater 1,017 kg/m³). What force is required to hold the baseball in place?

Water with a density of 1,000 kg/m³ flows through a 2.00 cm diameter pipe with a velocity of 2.40 m/s. What is the volume flow rate?

An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 30.0 degrees. The narrow section is 15.0 m from the wide section and the narrow section is lower than the wide section. The velocity of the fluid in the wide section of the pipe is 4.00 m/s and the velocity of the fluid in the narrow section of pipe is 9.00 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m³)

What is the buoyant force on a 1.200 kg solid steel ball submerged in water? (density of steel is 7,900 kg/m³)

A 10.0 kg ball weighs 98.0 N in air and weighs 65.0 N when submerged in water. The volume of the ball is

A 2525 kg truck can be held up by a piston of radius 15 cm through a hydraulic lift by a force of 175 N on a piston of what radius?

A horizontal section of an artery narrows from a diameter of 8.0 mm to a diameter of 6.0 mm. What is the pressure difference between the wider section and the narrower? That is, what is P_wide − P_narrow? The blood flows in the wider section at 48 cm/s. Take blood plasma to have a density of 1,025 kg/m³ and ignore viscosity.

You would like to use a simple water-filled barometer (an inverted tube in a container of water) to measure the atmospheric pressure on a day when the pressure is 102.5 kPa. What would be the minimum height required for such a barometer to work? The density of water is 1000 kg/m³.

An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 30.0 degrees. The narrow section is 10.0 m from the wide section and the narrow section is lower than the wide section. The velocity of the fluid in the wide section of the pipe is 4.00 m/s. The diameter of the wide section is 12.00 cm and the diameter of the narrow section is 9.00 cm. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe? (density of the fluid is 1,000 kg/m³)

A small hole is cut in the bottom of a water storage tank. The depth of the water is 12.00 m. If the diameter of the small hole in the bottom of the tank is 4.00 mm, then what is the flow rate of the water leaving the tank?

A 1.5 kg ball is floating in water. The volume of water displaced by the ball is

The surface tension of water is 0.0730 N/m. What is the height of the water in a capillary tube of diameter 2.00 mm?

Water is flowing through a pipe with a constriction. The area of the narrow section is one-half the area of the wide section. If the velocity of the incompressible fluid is 3.2 m/s in the wide section, then what is the velocity of the fluid in the narrow section?

An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 4.00 m below the wide section. What is the diameter of the narrow section , if the pressure of the fluid in the narrow section is equal to the pressure in the wide section? (density of the fluid is 680 kg/m³)