A pumping station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is p = 7.10 x 102 kg/m³, the inlet and outlet tubes, respectively, have a radius of 3.62 cm and 1.81 cm, and the difference in input and output pressure is P, - P2 = 1.20 kPa. (a) Find the speed (in m/s) of the gasoline as it leaves the hose. |m/s (b) Find the fluid flow rate in cubic meters per second. ]m³/s

(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 29.8 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. ?Pa(b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 39.0 cm? ?N

A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 18.7 m below the water level. If the rate of flow from the leak is 2.80 ✕ 10−3 m3/min, determine the following. (a) Determine the speed at which the water leaves the hole. m/s(b) Determine the diameter of the hole. mm

Crater Lake in Oregon is the deepest lake in the United States, with a maximum depth of 655 m. The density of freshwater is 1.00 ✕ 103 kg/m3. (a) If the air pressure above the lake, which has a surface altitude of 1800 m, is 8.00 ✕ 104 Pa, what is the absolute pressure at the bottom of the lake?(b) What is the force of the lake's water on each window of a submarine near the lake bottom if each of its circular windows has an area of 118 cm2? (Enter the magnitude.)

Problem 1: A large weather balloon has a volume of 2000 m3 and a total weight of 800 N is filled with gas. The basket attached to the balloon has a weight of 1200 N and inside the basket there is a total mass M. The balloon starts from rest an ascends a total distance of 25 meters in 5 seconds. If the density of air is 1.20 kg/m3 and the average density of gas is 0.179 kg/m3, what is the value of the mass M in kg. Hint: the system has an acceleration Show a coordinate system and a free body diagram.

(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 22.4 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa(b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 36.0 cm? N

Hot water with a density of 980 kg/m3 flows through a 53.4 mm diameter round pipe at 1.91 m/s.  What is the mass flow rate (in kg/s) of the water [round your final answer to 2 decimal places] {Acircle = (π/4)d2}

An ore sample weighs 17.5N in air. When the sample is suspended by a light cord and totally immersed in water (density is 1000kg/m3), the tension in the cord is 11.2N. (a) What is the volume of the sample? (b) What is the density of the sample?

Two capillary tubes with an internal diameter of 1.6 mm and 0.96 mm were inserted into a liquid of 0.79g.cm-3, the difference between the capillary rises in the tubes was 1.1 cm. Assuming the contact angle is zero, calculate the surface tension of the liquid.

A cylindrical storage tank has a cross sectional area A1=1.5 m². The tank is set up vertically on the ground and filled with V=7.5 m³ of water. There is a valve at the bottom of the tank with an internal cross sectional area of 1.5 cm². What fraction of the total volume will be drained in the first 50 minutes after the valve is opened?