A dam is made which is rectangular and flat in profile. It is a depth of...
A dam is made which is rectangular and flat in profile. It is a depth of 25m and a width of 100m and holds back fresh water which has a density of 1000 kg m3 . Hint: You will need to express the force as a function of vertical position, and then integrate over the possible values of vertical position. (a) What is the total force that the water exerts on the dam? (b) What is the total torque that the water exerts on the dam measured around the dam’s bottom?
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A dam is made which is rectangular and flat in profile. It is a
depth of...
3. The figure shows a spillway which is essentially a dam that holds back water until it reaches a certain depth, a...
3. The figure shows a spillway which is essentially a dam that holds back water until it reaches a certain depth, at which point the water "spills" over the top. You may assume the pressure is distributed hydrostatically at stations 1 and 2. You may also assume that the width of the spillway is constant everywhere. The density of water is 1000 kg/m2 Control Surface Streamline 5 m 0.7m V/2 (a) Find the velocities, Vi and Va. Note that you...
A 4-m high dam with a slope of 8:1 ?V) has been proposed to ensure steady...
A 4-m high dam with a slope of 8:1 ?V) has been proposed to ensure steady water levels in a rectangular channel with a width of 5 m, a bottom slope of 0.2%, a Manning's n of 0.02, and discharge rate of 10 m3/s as shown below. proposed aim So-0.002 1. (15 points) Sketch out the gradually varied flow profiles for the water surface around the proposed dam by hand a. Determine the critical depth for the channel b. Estimate...
A trapezoidal masonry dam with vertical upstream face is 4.6 m high, 0.5m wide at the...
A trapezoidal masonry dam with vertical upstream face is 4.6 m high, 0.5m wide at the top and 3m wide at the base. Hydrostatic uplift varies from full hydrostatic pressure at the heel to zero at the toe. Find the depth of water if the pressure at the toe is twice the average pressure at the base. Wt. of masonry is 2,400 kg/m3 Find the height of water that could rise behind a rectangular masonry wall 2m thick and 5m...
KHomework Set 9 Pressure on a Dam As the reservoir behind a dam is filled with water, the pressur...
KHomework Set 9 Pressure on a Dam As the reservoir behind a dam is filled with water, the pressure that the water exerts on the dam increases Eventually, the force on the dam becomes substantial and it could cause the dam to collapse. There are two significant issues to be considered: First, the base of the dam should be able to withstand the pressure pgh , where p is the density of the water behind the danm h is its...
Consider a rectangular swimming pool of depth 1 m with a width and length of 11...
Consider a rectangular swimming pool of depth 1 m with a width and length of 11 m. What is the total force on the bottom of the pool due to the water pressure?
Force on a Dam Wall (Mastering Physics)
As the reservoir behind a dam is filled with water, the pressurethat the water exerts on the dam increases. Eventually, the forceon the dam becomes substantial, and itcould cause the dam tocollapse. There are two significant issues to be considered: First,the base of the dam should be able to withstand the pressure, where is the density of the water behind thedam, is its depth, and is the magnitude of the acceleration due togravity. This means that the material of which...
1. Water flows with a velocity of 3m/s and a depth of 3m in a rectangular channel. a. What is the...
1. Water flows with a velocity of 3m/s and a depth of 3m in a rectangular channel. a. What is the change in depth produced by an upward change in bottom elevation of 30 cm without energy loss? b. What is the change in depth produced by down step of 30 cm without energy loss? c. What is the width of the channel to cause a choke if the total discharge is 27 m3/s?
I’ve been racking my brain this one. My book showed the answer on how the total...
I’ve been racking my brain this one. My book showed the answer
on how the total force was derived. But I don’t get how it got to
that answer. Can someone help me please?
ethe ratio of the input work to the output work wi-F:aa-EN )-(20 )-1 t verifies that the work input and output are the same, as they must be to conserve energy. This result ,Example 15.2 The Force on a Dam lled to a height H behind...
Chapter 15 Pressure on a Dam Due 4 of 16 ( As the reservoir behind a...
Chapter 15 Pressure on a Dam Due 4 of 16 ( As the reservoir behind a dam is filled with water pressure that the water exerts on the dam increases Eventually, the force on the dam becomes substantial, and it could cause the dam to collapse. There are two significant issues to be considered: First, the base of the dam should be able to withstand the pressure Agh, where ? is the density of the water behind the Consider a...
Problem 2 A concrete dam has a curved surface and restrain water (p=1000kg/m3) at a depth...
Problem 2 A concrete dam has a curved surface and restrain water (p=1000kg/m3) at a depth H=2 m. The trace of the surface is a parabola described by the equation: z= 0.2x2 . dam 1- Determine the gage pressure distribution in the water 2- Determine the magnitude of the pressure force F acting on the curved dam surface per unit width (dimension normal to the page) of the gate. [Solution: F=45,780 N] 3-Determine the angle of that force relative to...
3. The figure shows a spillway which is essentially a dam that holds back water until it reaches a certain depth, at which point the water "spills" over the top. You may assume the pressure is distributed hydrostatically at stations 1 and 2. You may also assume that the width of the spillway is constant everywhere. The density of water is 1000 kg/m2 Control Surface Streamline 5 m 0.7m V/2 (a) Find the velocities, Vi and Va. Note that you...
A 4-m high dam with a slope of 8:1 ?V) has been proposed to ensure steady water levels in a rectangular channel with a width of 5 m, a bottom slope of 0.2%, a Manning's n of 0.02, and discharge rate of 10 m3/s as shown below. proposed aim So-0.002 1. (15 points) Sketch out the gradually varied flow profiles for the water surface around the proposed dam by hand a. Determine the critical depth for the channel b. Estimate...
A trapezoidal masonry dam with vertical upstream face is 4.6 m high, 0.5m wide at the top and 3m wide at the base. Hydrostatic uplift varies from full hydrostatic pressure at the heel to zero at the toe. Find the depth of water if the pressure at the toe is twice the average pressure at the base. Wt. of masonry is 2,400 kg/m3 Find the height of water that could rise behind a rectangular masonry wall 2m thick and 5m...
KHomework Set 9 Pressure on a Dam As the reservoir behind a dam is filled with water, the pressure that the water exerts on the dam increases Eventually, the force on the dam becomes substantial and it could cause the dam to collapse. There are two significant issues to be considered: First, the base of the dam should be able to withstand the pressure pgh , where p is the density of the water behind the danm h is its...
As the reservoir behind a dam is filled with water, the pressurethat the water exerts on the dam increases. Eventually, the forceon the dam becomes substantial, and itcould cause the dam tocollapse. There are two significant issues to be considered: First,the base of the dam should be able to withstand the pressure, where is the density of the water behind thedam, is its depth, and is the magnitude of the acceleration due togravity. This means that the material of which...
I’ve been racking my brain this one. My book showed the answer
on how the total force was derived. But I don’t get how it got to
that answer. Can someone help me please?
ethe ratio of the input work to the output work wi-F:aa-EN )-(20 )-1 t verifies that the work input and output are the same, as they must be to conserve energy. This result ,Example 15.2 The Force on a Dam lled to a height H behind...
Chapter 15 Pressure on a Dam Due 4 of 16 ( As the reservoir behind a dam is filled with water pressure that the water exerts on the dam increases Eventually, the force on the dam becomes substantial, and it could cause the dam to collapse. There are two significant issues to be considered: First, the base of the dam should be able to withstand the pressure Agh, where ? is the density of the water behind the Consider a...
Problem 2 A concrete dam has a curved surface and restrain water (p=1000kg/m3) at a depth H=2 m. The trace of the surface is a parabola described by the equation: z= 0.2x2 . dam 1- Determine the gage pressure distribution in the water 2- Determine the magnitude of the pressure force F acting on the curved dam surface per unit width (dimension normal to the page) of the gate. [Solution: F=45,780 N] 3-Determine the angle of that force relative to...
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