Mechanics | Relativity Answers

Blood is flowing through an artery of radius 2 mm at a rate of 40 cm/s. Determine the flow rate and the volume that passes through the artery in a period of 30 s.

Round your answer to the nearest 0 decimal place.

Answers:

• flow rate: cm³/s
• volume: cm³

Blood is pumped from the heart at a rate of 9 L/min into the aorta (of radius 6.62 cm). Determine the speed of blood through the aorta.

Round your answer to 3 decimal places

A sump pump (used to drain water from the basement of houses built below the water table) is draining a flooded basement at the rate of 0.750 L/s, with an output pressure of 3.00×10⁵ N/m².

1. The water enters a hose with a 3.00-cm inside diameter and rises 2.50 m above the pump. What is its pressure at this point? Blank 1
2. The hose goes over the foundation wall, losing 0.500 m in height, and widens to 4.00 cm in diameter. What is the pressure now? Blank 2

Round your answer to the nearest 0 decimal place

A container of water has a cross-sectional area of 0.1m². A piston sits on top of the water (see the following figure). There is a spout located 0.15 m from the bottom of the tank, open to the atmosphere, and a stream of water exits the spout. The cross-sectional area of the spout is 7.0×10⁻⁴ m²

1. What is the velocity of the water as it leaves the spout?
2. If the opening of the spout is located 1.5 m above the ground, how far from the spout does the water hit the floor?

Ignore all friction and dissipative forces. Round your answer to the nearest 2 decimal places.

Calculate the approximate force on a square meter of sail, given the horizontal velocity of the wind is 9.16 m/s parallel to its front surface and 4.9 m/s along its back surface. Take the density of air to be 1.29 kg/m³.

Round your answer to 2 decimal places

What is the pressure drop due to the Bernoulli Effect as water goes into a 4.44-cm-diameter nozzle from a 15.25-cm-diameter fire hose while carrying a flow of 72 L/s? (b) To what maximum height above the nozzle can this water rise? 

Round your answer to 0 decimal places

Every few years, winds in Boulder, Colorado, attain sustained speeds of 58 m/s when the jet stream descends during early spring. Approximately what is the force due to the Bernoulli equation on a roof having an area of 212 m²? Typical air density in Boulder is 48kg/m³, and the corresponding atmospheric pressure is 8.89×10⁴ N/m². 

Round your answer to 0 decimal places

Water is moving at a velocity of 7.02 m/s through a hose with an internal diameter of 3.09 cm. The fluid velocity in this hose's nozzle is 15.42 m/s. What is the nozzle's inside diameter?

Round your answer to 5 decimal places

The main uptake air duct of a forced air gas heater is 0.4 m in diameter. What is the average speed of air in the duct if it carries a volume equal to that of the house’s interior every 13 min? The inside volume of the house is equivalent to a rectangular solid 10.29 m wide by 11.11 m long by 2.8 m high.

Round your answer to 2 decimal places

What is the fluid speed in a fire hose with a 9.05-cm diameter carrying 55 L of water per second? 

Round your answer to 3 decimal places