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 111P
To determine
The Estimated power produced by the turbine.
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A large lawn sprinkler with two identical arms is used to generate electric power by attaching a generator to its rotating head. Water enters the sprinkler from the base along the axis of rotation at a rate of 5 gal/s and leaves the nozzles in the tangential direction. The sprinkler rotates at a rate of 180 rpm in a horizontal plane. The diameter of each jet is 0.5 in, and the normal distance between the axis of rotation and the center of each nozzle is 2 ft. If the rotating head is somehow stuck, determine the moment acting on the head.
A 3-in-diameter horizontal water jet having a velocity of 90 ft/s strikes a curved plate, which deflects the water 180° at the same speed. Ignoring the frictional effects, determine the force required to hold the plate against the water stream.
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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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- A lawn sprinkler with three identical arms is used to water a garden by rotating in a horizontal plane by the impulse caused by water flow. Water enters the sprinkler along the axis of rotation at a rate of 45 L/s and leaves the 1.5-cm-diameter nozzles in the tangential direction. The bearing applies a retarding torque of T0 = 40 N·m due to friction at the anticipated operating speeds. For a normal distance of 40 cm between the axis of rotation and the center of the nozzles, determine the angular velocity of the sprinkler shaft.arrow_forwardA hydroelectric power plant uses Pelton-type turbines, in which multiple nozzles are used to accelerate the waterwhich is directed onto the turbine blades, which are exposed to an atmospheric pressure of 101.325 kPa. The water enters the nozzles with an absolute pressure of 500 kPa and a speed of 5 m/s, and the nozzle outlets are exposed to atmospheric pressure and have an internal diameter of 5 cm. Consider that the specific mass of water is 1,000 kg/m3. Determine the mass flow rate of water through each of the nozzles, and explain why the actual mass flow rate will be lower.arrow_forwardjet of water of diameter 100 mm strikes a curved plate at its center with a velocity of 15 m/s. The curved plate is moving with a velocity of 7 m/s in the direction of the jet. The jet is deflected through an angle of 150°. Assuming the plate smooth find: (i) Force exerted on the plate in the direction of the jet. (ii) Power of the jet, and (iii) Efficiency.arrow_forward
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- The pipe elbow below discharges water at rate of SN/100 (m3/s) into the atmosphere at section 2. The total volume of the passage between sections 1 and 2 is equal to 0.2 m3 and the total mass of the elbow material between sections 1 and 2 is equal to 10 x SN (kg). Neglect any friction losses. Calculate the horizontal and vertical forces acting on the elbow. Also, calculate the resultant force and angle of force on the elbow. ****SN=21arrow_forwardWater enters a two-armed lawn sprinkler along the vertical axis at a rate of 150 L/s, and leaves the sprinkler nozzles as 2cm diameter jets at an angle of u from the tangential direction. The length of each sprinkler arm is 0.52 m. Disregarding any frictional effects, determine (a) Angular momentum and (b) the rate of rotation n of the sprinkler in rev/min For ϴ = 0° .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_forward
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