A stream of water with a density of
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Vector Mechanics for Engineers: Dynamics
- 2. A horizontal nozzle discharges 0.01 m³/s of water into the air. The supply pipe's diameter (d = 40 mm) is twice as large as the nozzle diameter (dB = 20 mm). The nozzle is held in place by a hinge mechanism. Determine the magnitude and direction of the reaction force at the hinge, if the gauge pressure at A is 500 000 N/m2. Assume the weight supported by hinge is negligible. Ans.: Fr= 614 N, 0 = 26.6⁰. FA da 8 = 60° 10arrow_forwardAn elbow deflects water upward and discharges it to the atmosphere at a specific rate. Determine the gage pressure at the inlet of the elbow and the anchoring force needed to hold the elbow in place. (gage pressure at the outlet is zero)arrow_forwardWater is flowing upward through a tapering pipe of height 1 m at the rate of 0.28 cumec. Thediameters at the lower and upper ends of the pipe are 300 mm and 600 mm, respectively. If pressure atthe lower end of the pipe is 0.981 bar, determine the force exerted on the tapering pipe and itsdirection. Neglect the losses of energy and the weight of the pipe.arrow_forward
- The gauge pressure of water at A is 150.5 kPa. Water flows through the pipe at A with a velocity of 18 m/s, and out the pipe at B and C with the same velocity v. Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mm at A, and at B and C the diameter is 35 mm. Pw = 1000 kg/m³. (Figure 1) Determine the x component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) ? Fr = Value Unitsarrow_forwardPipe AB has a diameter of 40 mm. Water flows through it at a rate of 0.017 m³/s. The pipe and water within it have a total mass of 9 kg. (Figure 1) Figure 2 m 1 of 1 > Part A Determine the x-component of force that must be supported at A to hold the pipe in place. Express your answer to three significant figures and include the appropriate units. A₂ = ON Submit ✓ Correct Part B Previous Answers Determine the y-component of force that must be supported at A to hold the pipe in place. Express your answer to three significant figures and include the appropriate units. Ay = 340 μA Provide Feedback 1 Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remainingarrow_forwardA jet issues without loss from a hole in a water tank that is open to the atmosphere. The hole is located a distance H below the free surface, and the jet issues at an angle θ to the horizontal direction, and it has an exit area of A. Express the maximum height of the jet as a function of θ and H (which is held constant). What is the the horizontal component of the force exerted on the tank by the jet? Ignore losses.arrow_forward
- Water is flowing into and discharging from a pipe U-section as shown in the Figure. At flange (1), the total absolute pressure is 135 kPa, and 50 kg/s flows into the pipe. At flange (2), the total pressure is 125 kPa. At location (3), 10 kg/s of water discharges to the atmosphere, which is at 100 kPa. Determine the total x-and z- forces at the two flanges connecting the pipe. Discuss the importance of gravity force for this problem. Take the momentum flux correction factor to be 1.03 throughout the pipe. 10 kg/s - 3 cm 40 kg/s - 10 cm 50 kg/s 5 cmarrow_forward3. Consider the shown configuration where water Pump from a large, open reservoir flows through the pipe Water and discharges to atmosphere. When the pump is not running, it does not prevent water from flowing Pipe Spring through the pipe. At this state, the force that develops in the spring is 1000 N. However, when the pump is running, the force in the spring becomes 3000 N. The diameter of the pipe is 0.1 m. Neglecting all frictional effects, determine the power delivered by the pump to the fluid. Pwater 1000 kg/m³.arrow_forwardA circular balloon is being filled through the inlet, which has a cross-sectional area denoted as A1. The air enters the balloon with a velocity V1 and a density ρ1. If the balloon radius is denoted as R, and the densitywithin is taken as an average value ρavg, construct an expression for the time rate of change of mass withinthe balloon.arrow_forward
- Water is flowing into and discharging from a pipe U-section as shown . At flange (1), the total absolute pressure is 200 kPa, and 55 kg/s flows into the pipe. At flange (2), the total pressure is 150 kPa. At location (3), 15 kg/s of water discharges to the atmosphere, which is at 100 kPa. Determine the total x- and z-forces at the two flanges connecting the pipe. Discuss the significance of gravity force for this problem. Take the momentum-flux correction factor to be 1.03 throughout the pipesarrow_forwardWater is flowing into and discharging from a pipe U-section as shown in the given figure. At flange (1), the total absolute pressure is 200 kPa, and 59 kg/s flows into the pipe. At flange (2), the total pressure is 150 kPa. At location (3), 17 kg/s of water discharges to the atmosphere, which is at 100 kPa. Determine the total x- and z-forces at the two flanges connecting the pipe. Discuss the significance of gravity force for this problem. Take the momentum-flux correction factor to be 1.03 throughout the pipes. Take the density of water to be 1000 kg/m3. z kg/s 3 сm y kg/s L10 cm x kg/s. 5 cm The value of the force FRx is N. The value of the force FRZ is N.arrow_forwardThe head in a vessel with vertical sides and a height of 4m at the instant of opening an orifice was 3m and at closing had decreased to 1.5m. Determine the constant head under which on the same time the orifice would discharge the same volume of water. Determine the time to discharge from a head of 3m as it decreased to 1.5m if the diameter of the vessel is 2m and diameter of orifice is 50mm. Assume c = 0.60. Determine the time to empty the container.arrow_forward
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