Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 6, Problem 3CP
Is momentum a
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Chapter 6 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 6 - Express Newton’s second law of motion for rotating...Ch. 6 - Express Newton’s first, second, and third laws.Ch. 6 - Is momentum a vector? If so, in what direction...Ch. 6 - Express the conservation of momentum principle....Ch. 6 - How do surface forces arise in the momentum...Ch. 6 - Explain the importance of the Reynolds transport...Ch. 6 - What is the importance of the momentum-flux...Ch. 6 - Write the momentum equation for steady...Ch. 6 - In the application of the momentum equation,...Ch. 6 - Two firefighters are fighting a fire with...
Ch. 6 - A rocket in space (no friction or resistance to...Ch. 6 - Describe in terms of momentum and airflow how a...Ch. 6 - Does it take more, equal, or less power for a...Ch. 6 - In a given location, would a helicopter require...Ch. 6 - Describe body forces and surface forces, and...Ch. 6 - A constant-velocity horizontal water jet from a...Ch. 6 - A horizontal water jet of constant velocity V from...Ch. 6 - A horizontal water jet from a nozzle of constant...Ch. 6 - A 2.5-cm-diameter horizontal water jet with a...Ch. 6 - A 90 elbow in a horizontal pipe is used to direct...Ch. 6 - Repeat Prob. 6-20 for the case of another...Ch. 6 - A horizontal water jet impinges against a vertical...Ch. 6 - Water enters a 7-cm-diameter pipe steadily with a...Ch. 6 - A reducing elbow in a horizontal pipe is used to...Ch. 6 - Repeat Prob. 6-24 for the case of = 125°.Ch. 6 - A 100-ft3/s water jet is moving in the positive...Ch. 6 - Reconsider Prob. 6-26E. Using appropriate...Ch. 6 - Commercially available large wind turbines have...Ch. 6 - A fan with 24-in-diameter blades moves 2000 cfm...Ch. 6 - A 3-in-diameter horizontal jet of water, with...Ch. 6 - Firefighters are holding a nozzle at the end of a...Ch. 6 - A 5-cm-diameter horizontal jet of water with a...Ch. 6 - Prob. 33PCh. 6 - A 3-in-diameter horizontal water jet having a...Ch. 6 - An unloaded helicopter of mass 12,000 kg hovers at...Ch. 6 - Prob. 36PCh. 6 - Water is flowing through a 10-cm-diameter water...Ch. 6 - Water flowing in a horizontal 25-cm-diameter pipe...Ch. 6 - Prob. 39PCh. 6 - Water enters a centrifugal pump axially at...Ch. 6 - An incompressible fluid of density and viscosity ...Ch. 6 - Consider the curved duct of Prob. 6-41, except...Ch. 6 - As a follow-up to Prob. 6-41, it turns out that...Ch. 6 - Prob. 44PCh. 6 - The weight of a water tank open to the atmosphere...Ch. 6 - A sluice gate, which controls flow rate in a...Ch. 6 - A room is to be ventilated using a centrifugal...Ch. 6 - How is the angular momentum equation obtained from...Ch. 6 - Prob. 49CPCh. 6 - Prob. 50CPCh. 6 - Prob. 51CPCh. 6 - A large lawn sprinkler with two identical arms is...Ch. 6 - Prob. 53EPCh. 6 - The impeller of a centrifugal pump has inner and...Ch. 6 - Water is flowing through a 15-cm-diameter pipe...Ch. 6 - Prob. 56PCh. 6 - Repeat Prob. 6-56 for a water flow rate of 60 L/s.Ch. 6 - Prob. 58PCh. 6 - Water enters the impeller of a centrifugal pump...Ch. 6 - A lawn sprinkler with three identical antis is...Ch. 6 - Prob. 62PCh. 6 - The impeller of a centrifugal blower has a radius...Ch. 6 - An 8-cm-diameter horizontal water jet having a...Ch. 6 - Water flowing steadily at a rate of 0.16 m3/s is...Ch. 6 - Repeat Prob. 6-66 by taking into consideration the...Ch. 6 - A 16-cm diameter horizontal water jet with a speed...Ch. 6 - Water enters vertically and steadily at a rate of...Ch. 6 - Repeal Prob. 6-69 for the case of unequal anus-the...Ch. 6 - Prob. 71PCh. 6 - Prob. 72PCh. 6 - A spacecraft cruising in space at a constant...Ch. 6 - A 60-kg ice skater is standing on ice with ice...Ch. 6 - A 5-cm-diameter horizontal jet of water, with...Ch. 6 - Water is flowing into and discharging from a pipe...Ch. 6 - Indiana Jones needs So ascend a 10-m-high...Ch. 6 - Prob. 79EPCh. 6 - A walnut with a mass of 50 g requires a force of...Ch. 6 - Prob. 81PCh. 6 - Prob. 82PCh. 6 - A horizontal water jet of constant velocity V...Ch. 6 - Show that the force exerted by a liquid jet on a...Ch. 6 - Prob. 85PCh. 6 - Prob. 86PCh. 6 - Water enters a mixed flow pump axially at a rate...Ch. 6 - Prob. 88PCh. 6 - Water enters a two-armed lawn sprinkler along the...Ch. 6 - Prob. 91PCh. 6 - Prob. 92PCh. 6 - Prob. 93PCh. 6 - Prob. 94PCh. 6 - A water jet strikes a moving plate at velocity...Ch. 6 - Water flows at mass flow rate m through a 90°...Ch. 6 - Prob. 97PCh. 6 - Water shoots out of a Iar2e tank sitting a cart...Ch. 6 - Prob. 99PCh. 6 - Prob. 100PCh. 6 - Prob. 101PCh. 6 - Consider water flow through a horizontal, short...Ch. 6 - Consider water flow through a horizontal. short...Ch. 6 - Prob. 104PCh. 6 - Prob. 105PCh. 6 - Prob. 106PCh. 6 - The velocity of wind at a wind turbine is measured...Ch. 6 - The ve1ocity of wind at a wind turbine is measured...Ch. 6 - Prob. 109PCh. 6 - Prob. 110PCh. 6 - Prob. 111PCh. 6 - Consider the impeller of a centrifugal pump with a...Ch. 6 - Prob. 113PCh. 6 - Prob. 114P
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- How can you define impulsive force in terms of momentum.arrow_forwardA reducing elbow is used to deflect water flow at 25 L/s in a horizontal pipe upward by an angle of=45° from the flow direction while accelerating it. The elbow discharges water into the atmosphere. The diameter of the elbow is 15 cm at the inlet and 5 cm at the exit. The elevation difference between the center of the exit and inlet is 40 cm. The mass of the elbow and the water in it is 40 kg. Determine the anchoring force needed to hold the elbow in place, assuming a momentum-flux correction factor of 1.03.arrow_forwardPlease use the momentum theorem to solve this problemarrow_forward
- The adjacent picture shows a pipe section in which a reduction sleeve (nozzle) is connected to the pipe by a flanged bolted connection. You have D1=8 cm, D2=5 cm, and the water is at 20C. Point 2 is open to the atmosphere. Consider that the specific mass of the water is 1,000 kg/m3, and that the momentum flux correction factor is unity. If V1=5 m/s and the mercury manometer indicates that h=58 cm, determine the reaction force on the flange bolts.arrow_forwardIn this situation, a 90 degree elbow pipe is used to direct water flow in an upwards direction, at a rate of 40 kg/s. Here the diameter of the elbow is 10cm. The water is discharged into the atmosphere and the pressure at exit is at the local atmospheric pressure. Additionally the elevation difference between the centers of exit and inlet of the bend is 50cm. Here, the weight of the elbow pipe and the water is neglible, and the momentum-flux correction factor is 1.03 at both the oulet and inlet. How would I determine the gage pressure at the center of the inlet of the elbow? How much anchoring force would be needed to hole the elbow in place. Any help would be greatly appreciated :)arrow_forwardA single-stage axial flow pump with outer radius r2 =0.240 m and inner radius r1 =0.120 m is given. At a radius of r =0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density ρ = 1.000 × 103 kg/m^3, a rotation speed n = 2.4 × 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2 , and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Find the velocity triangles just before the impeller inlet and just after the impeller outlet at a radius of r =0.09 m.arrow_forward
- Consider water flow through a horizontal, short garden hose at a rate of 0.5 kg/s. The velocity at the inlet is 1.5 m/s and that at the outlet is 11.5 m/s. The hose makes a 180° turn before the water is discharged. Disregard the weight of the hose and water. Taking the momentum-flux correction factor to be 1.04 at both the inlet and the outlet, the anchoring force required to hold the hose in place is:arrow_forwardA reducing elbow is used to deflect water flowrate at a rate of 1920 g/s in a horizontal pipe downward by an angle theta = 43 from the flow of direction while accelerating it. The elbow discharges water into the atmosphere. The diameter of the elbow at the inlet is 6.5 cm and at the exit is 1.5cm. The elevation difference between the centers of the exit and the inlet is 22cm . The mass of the elbow and the water is 61.5 kg. Determine the anchoring force needed to hold the elbow in placearrow_forwardA jet of water strikes a stationary curved vane and is deflected by 150° from its originaldirection. The mass flow rate from the jet is 0.68 kg/s and has a velocity of 24 m/s. Calculatethe magnitude and direction of the resultant force on the vane.arrow_forward
- Express the unsteady angular momentum equation in vector form for a control volume that has a constant moment of inertia I, no external moments applied, one outgoing uniform flow stream of velocity V→, and mass flow rate m. .arrow_forwardAir flows steadily at low speed through a horizontal nozzle (by definition a device for accelerating a flow), discharging to atmosphere. The area at the nozzle inlet is 0.1 m2. At the nozzle exit, the area is 0.02 m2. Determine the gage pressure required at the nozzle inlet to produce an outlet speed of 50 m/sarrow_forwardWater enters a mixed flow pump axially at a rate of 0.25 m3/s and at a velocity of 5 m/s, and is discharged to the atmosphere at an angle of 75° from the horizontal, as shown . If the discharge flow area is half the inlet area, determine the force acting on the shaft in the axial directionarrow_forward
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