4. Fresh water flows through a nozzle at a rate of 1.50 kg/s. The nozzle inlet and outlet diameters are 35.0 mm and 15.0 mm, respectively. Find the velocity at the inlet and outlet of the nozzle.
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Can you please solve this using Bernoulli's Theory
H = h + P/W + V^2/2g
- After a party the host pours the remnants of several bottles of wine into a jug. He then inserts a cork with a 2.25 cm diameter into the jug, placing it in direct contact with the wine. He is amazed when he pounds the cork into place that the bottom of the jug, with a 15.5 cm diameter, breaks away. a. Find the force that the liquid exerts on the bottom of the bottle when the host is pounding the cork with a 120 N force. Ignore the force caused by the weight of the wine.3. A gas with a density of 1.25 kg/m³ enters a 125 mm diameter pipe at a velocity of 3.00 m/s. The pipe decreases diameter to 75.0 mm and the density of the gas is increased to 2.00 kg/m³. Find the velocity and the mass flow rate of gas in the 75.0 mm diameter pipeline. 4In a water pistol, a piston drives water through a larger tube of radius 1.00 cm into a smaller tube of radius 1.00 mm as in Figure P9.41. (a) If the pistol is fired horizontally at a height of 1.50 m, use ballistics to determine the time it takes water to travel from the nozzle to the ground. (Neglect air resistance and assume atmospheric pressure is 1.00 atm.) (b) If the range of the stream is to be 8.00 m, with what speed must the stream leave the nozzle? (c) Given the areas of the nozzle and cylinder, use the equation of continuity to calculate the speed at which the plunger must be moved.(d) What is the pressure at the nozzle? (e) Use Bernoulli’s equation to find the pressure needed in the larger cylinder. Can gravity terms be neglected? (f ) Calculate the force that must be exerted on the trigger to achieve the desired range. (The force that must be exerted is due to pressure over and above atmospheric pressure.)
- 6 pts Question 16 Water with a density of 1,000 kg/m3 flows through a 4.0 cm diameter pipe with a velocity of 1.2 m/s. What is the mass flow rate? O 1.51 kg/s o 1.40 kg/s O 1.32 kg/s O 1.21 kg/s O 1.01 kg/sA thin spherical shell with a mass of 3.80 kg and a diameter of 0.200 m is filled with helium (density = 0.179 kg/m). It is then released from rest on the bottom of a pool of water that is 4.25 m deep. (a) Neglecting frictional effects, determine the value of the acceleration of the shell. (Enter the magnitude in m/s.) Enter a number. differs from the correct answer by more than 10%. Double check your calculations. m/s (b) How long does it take for the top of the shell to reach the water's surface (in s)?Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.405×10−3 m3/s and the diameter of the nozzle you hold is 5.77×10−3 m. At what speed v does the water exit the nozzle?
- Water with a density of 1,000 kg/m3 flows through a 4.0 cm diameter pipe with a velocity of 1.2 m/s. What is the mass flow rate? O 1.51 kg/s hO 1.40 kg/s O 1.32 kg/s O 1.21 kg/s O 1.01 kg/sA cylindrical tank of height 2.00 m and diameter 1.50 m is full of beer of density 1.05X103 kg/m3. Beer is discharged through a small valve of diameter 3.0 cm and 20 cm near the bottom of the tank. Beer flux is defined as the amount of beer discharged per second. a) When the beer level is 1.50 m high, what is the speed of discharged beer? What is the beer flux? b) How many minutes does it take to drain the beer?16.
- Three liquids that will not mix are poured into a cylindrical container. The volumes and densities of the liquids are 0.670 L, 2.77 g/cm³; 0.356 L, 1.20 g/cm³; and 0.524 L, 0.653 g/cm³. What is the force on the bottom of the container due to these liquids? One liter = 1 L = 1000 cm³. (Ignore the contribution due to the atmosphere.) Number i UnitsA boat measuring 5.0 m wide, 5.0 m deep, and 10.0 m long is floating on a river. How many people with mass of 75 kg each can sit on this boat before the boat sinks? 1.A water tank of constant depth H, open to the atmosphere, is connected to the piping system, as shown in Figure P8.45. After a length of pipe L of diameter D, the diameter decreases smoothly to a value of D/2 and then continues on for another length L before exiting to atmosphere. The flow is turbulent and the friction factor f is the same for all piping. CD1 and CD2 are the loss coefficients for the entry and exit. Calculate the depth of the tank required to produce a mean exit velocity of V .