Exam 9: Fluids

Glycerin at 30°C has a density of 1,260 kg/m³ and a viscosity of 0.630 Pa s. In a laboratory experiment, some glycerin is forced through a horizontal tube that is 10.0 cm long and 1.00 cm in diameter. The high-pressure end of the tube is held at a gauge pressure of 618 Pa, while the other end is open to the atmosphere. What is the flow rate of the glycerin through the tube?

The car lift in a gas station operates with an air pressure of 2,000 kPa. The piston of the car lift has a diameter of 30.0 cm. What is the mass of the largest car that the lift can raise?

Water is flowing through a pipe with a constriction. The diameter of the narrow section is one-half the diameter of the wide section. If the velocity of the incompressible fluid is 3.20 m/s in the wide section, then what is the velocity of the fluid in the narrow section?

The water level in a water tower is 50 m above the ground. What is the gauge pressure of the water at a faucet that is 20 m above the ground?

A sphere of radius 25 cm rests at the bottom of a pool containing fresh water, completely submerged. If the upward normal force on the sphere from the bottom of the pool is 1,025 N, what is the mass of the sphere?

An incompressible fluid is flowing through a pipe with a constriction. The pipe is on an incline with an angle of 20.0 degrees. The narrow section is 15.0 m from the wide section and the narrow section is higher than the wide section. The velocity of the fluid in the wide section of the pipe is 6.00 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)

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 2.00 m/s and the velocity of the fluid in the narrow section of pipe is 10.0 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)

The cork in a bottle is 2.00 cm in diameter. If the pressure inside the bottle is 3.00 atm, then the net force on the cork due to the pressure difference is