A hypodermic needle is 3.18 cm in length and 0.22 mm in diameter. What pressure difference between the input and output of the needle is required so that the flow rate of water through it will be 1 g/s? (Use 1.0 ✕ 10−3 Pa · s as the viscosity of water.)

A patient is receiving saline solution from an intravenous (IV) system. The solution passes through a needle of length 2.1 cm and radius 0.195mm. There is an 8.00 mm-Hg gauge pressure in the patient's vein.Use the density of seawater, 1025 kg/m3, for the solution. Assume its viscosity at 20 °C is 1.002×10−3 Pa·s. a. The actual volume flow rate of the saline solution through the IV system is determined by its passage through the needle. Find the volume flow rate, in cubic centimeters per second, when the saline solution surface is 1.25 m above the patient’s vein.

A hypodermic needle is 3.00 cm in length and 0.300 mm in diameter. What pressure difference between the input and output of the needle is required so that the flow rate of water through it will be 1.00 g/s? (Use 1.00 × 1023 Pa . s as the viscosity of water.)

A 72.0-kg man lies on his back on a bed of nails, with 1,202 of the nails in contact with his body. The end of each nail has area 1.14 ✕ 10−6 m2. What average pressure is exerted by each nail on the man's body?

A hypodermic needle is 2.76 cm in length and 0.39 mm in diameter. What pressure difference between the input and output of the needle is required so that the flow rate of water through it will be 1 g/s? (Use 1.0 ✕ 10−3 Pa · s as the viscosity of water.)

A window on a plane has a radius of  0.33 m. The plane crashes at  a depth that the water pressure is 4.33 × 105 Pa, and the aeroplanes air is at atmospheric pressure 1.01   105 Pa. What force is surrounding the window  keep it in place in newtons?

(a) A submersible vehicle is in a lake at a depth of 26.6 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa. ____Pa   (b) The submersible vehicle has a circular window with a diameter of 40.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.) ____ N

While taking a shower, you notice that the shower head is made up of 36 small round openings, each with a radius of 2.00 mm. You also determine that it takes 2.00 s for the shower to completely fi a 1.00-liter container you hold in the water stream. The water for the shower is pumped by a pump that is 5.60 m below the level of the shower head. The pump maintains an absolute pressure of 1.50 atm. Use g = 10 m/s?, and assume that 1 atmosphere is 1.0 x 105 Pa. (a) At what speed does the water emerge from the shower head? 1.105 m/s (b) What is the speed of the water in the pipe connected to the pump? m/s (c) What is the cross-sectional area of the pipe connected to the pump? m2

A mosquito is sinking in a pool of sap with density 1040 kg/m3. The mosquito will be crushed when the absolute pressure on it reaches 105 kPa. Assuming that atmospheric pressure is 101 kPa, what depth will the mosquito be at when it is crushed? h = unit | m

Fire hoses used in major structure fires have inside diameters of 6.4 cm. Suppose such a hose carries a flow of 40 L/s starting at a gauge pressure of 1.62 × 10°N/m². The hose goes 10 m up a ladder to a nozzle having an inside diameter of 3 cm. Assume negligible resistance, density of water is 1000 kg/m³, and atmospheric pressure = 1.013×105 Pa. Using the flow rate (a) Calculate the velocity at the start of the hose. V = start m/s (b) Calculate the velocity at the nozzle. V = nozzle m/s Pnozzle (c) Calculate the gauge pressure at the nozzle, P, If nozzle <3%, then enter P nozzle =0, else P atm |P nozzlel enter the calculated value. If atm <3%, then we are going to assume that the absolute pressure at the nozzle is approximately equal to the atmospheric pressure, making the gauge pressure almost zero when compared to the atmospheric pressure. Pnozzle Pa