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EN, e= 57 20. A roller gate is shown in Fig. 3.59. Ik is cylindrical form of 6.0 m diameter. It is placed on the du F the magnitude and direction of the resultant force due to water acting on the gate when the water is jue [Ans. 2.245 MN, e=3 going to spill. The length of the gate is given 10 m. ROLLER GATE WATER SURFACE R=4 m 6.0 m WATER SURFACEC 307 T. 30 HÌNGE DAM Fig.3.59 Fig. 3.60

EN, e= 57 20. A roller gate is shown in Fig. 3.59. Ik is cylindrical form of 6.0 m diameter. It is placed on the du F the magnitude and direction of the resultant force due to water acting on the gate when the water is jue [Ans. 2.245 MN, e=3 going to spill. The length of the gate is given 10 m. ROLLER GATE WATER SURFACE R=4 m 6.0 m WATER SURFACEC 307 T. 30 HÌNGE DAM Fig.3.59 Fig. 3.60

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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depth of water on the upstream and downstream sides of the lock are 6 m and 4 m respectively. Find: gate, and (i) magnitude of the hinge reactions. [Ans. () 79.279 kN, () R=27.924 kN, R=51.SAN sides of the gates are 4 m and 3 m respectively, determine : () the magnitude of resultant pressure on cah gates are closed, they make an angle of 120°. The width of the lock is 4 m. If the depths of water on the ne 19. Fig. 3.58 shows a gate having a quadrant shape of radius of 3 m. Find the resultant force due to watr metre length of the gate. Find also the angle at which the total force will act. [Ans. 82.201 kN, 0= 57 () Resultant water force on each gate. 24. The end gates ABC of a lock are 8 m high and when closed make an angle of 120°. The width of kat is 10 m. Each gate is supported by two hinges located at I m and 5 m above the bottom of the lock. The 20. A roller gate is shown in Fig. 3.59. k is cylindrical form of 6.0 m diameter. It is placed on the dam F the magnitude and direction of the resualtant force due to water acting on the gate when the water is [Ans. 2.245 MN, e= 38 going to spill. The length of the gate is given 10 m. ROLLER GATE WATER SURFACE R=4 m 6.0 m WATER SURFACEC 307 30 HÌNGE B. DAM Fig.3.59 Fig. 3.60 21. Find the horizontal and vertical components of the water pressure exerted on a tainter gate of 4mas shown in Fig. 3.60. Consider width of the gate unity. [Ans. F, = 19.62 kN, F, =71024N 22. Find the magnitude and direction of the resultant water pressure acting on a curved face of a dam which is shaped WATER SURFACE according to the relation y= as shown in Fig. 3.61. The 12 m height of water retained by the dam is 12 m. Take the width of dam as unity. 23. Each gate of a lock is 5 m high and is supported by two hinges placed on the top and bottom of the gate. When the (Ans. 970.74 kN, 8 = 43° 19) Fig. 3.61
Transcribed Image Text:depth of water on the upstream and downstream sides of the lock are 6 m and 4 m respectively. Find: gate, and (i) magnitude of the hinge reactions. [Ans. () 79.279 kN, () R=27.924 kN, R=51.SAN sides of the gates are 4 m and 3 m respectively, determine : () the magnitude of resultant pressure on cah gates are closed, they make an angle of 120°. The width of the lock is 4 m. If the depths of water on the ne 19. Fig. 3.58 shows a gate having a quadrant shape of radius of 3 m. Find the resultant force due to watr metre length of the gate. Find also the angle at which the total force will act. [Ans. 82.201 kN, 0= 57 () Resultant water force on each gate. 24. The end gates ABC of a lock are 8 m high and when closed make an angle of 120°. The width of kat is 10 m. Each gate is supported by two hinges located at I m and 5 m above the bottom of the lock. The 20. A roller gate is shown in Fig. 3.59. k is cylindrical form of 6.0 m diameter. It is placed on the dam F the magnitude and direction of the resualtant force due to water acting on the gate when the water is [Ans. 2.245 MN, e= 38 going to spill. The length of the gate is given 10 m. ROLLER GATE WATER SURFACE R=4 m 6.0 m WATER SURFACEC 307 30 HÌNGE B. DAM Fig.3.59 Fig. 3.60 21. Find the horizontal and vertical components of the water pressure exerted on a tainter gate of 4mas shown in Fig. 3.60. Consider width of the gate unity. [Ans. F, = 19.62 kN, F, =71024N 22. Find the magnitude and direction of the resultant water pressure acting on a curved face of a dam which is shaped WATER SURFACE according to the relation y= as shown in Fig. 3.61. The 12 m height of water retained by the dam is 12 m. Take the width of dam as unity. 23. Each gate of a lock is 5 m high and is supported by two hinges placed on the top and bottom of the gate. When the (Ans. 970.74 kN, 8 = 43° 19) Fig. 3.61
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