Optimization Problem
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Optimization problems
A steel pipe is being carried down a hallway 9 ft wide. At the end of the hall there is a right-angled turn into a narrower hallway 6 ft wide. What is the lengthof the longest pipe that can be carried horizontally around the corner.
plete all problems on separate paper. You must write all equations. In problems 1-4, technology be used to solve or find derivatives, but you must include this with your work if you do. Problem 5...
plete all problems on separate paper. You must write all equations. In problems 1-4, technology be used to solve or find derivatives, but you must include this with your work if you do. Problem 5 may will be in CoCalc. 1. A hallway that is 8 feet wide meets another hallway 5 feet wide. What is the shortest length from one wall to another that touches the inside corner as shown in the diagram? (hint: you need Pythagorean Theorem and...
We have a square where each side is 2cm. At the top-left corner, there is a...
We have a square where each side is 2cm. At the top-left corner, there is a charge of -3uc. What does the charge need to be at the bottom left corner and the top right corner so that the electric field at the bottom right corner is zero? An electron is released from rest in a uniform electric field. The electron accelerates vertically upward, traveling 4.50m in the first 3.00 mu s after it is released. What is the magnitude...
rage of 5 Problem 2: The speed of sound in a certain metal is vm. One...
rage of 5 Problem 2: The speed of sound in a certain metal is vm. One end of a long pipe of that metal of length L is struck a hard blow. A listener at the other end hears two sounds, one from the wave that travels along the pipe's metal and the other from the wave that travels through the air inside the pipe. (a) If v is the speed of sound in air, what is the time interval...
Please help with problems 317 and 319 320. You have 800 ft of fencing to make...
Please help with problems 317 and 319
320. You have 800 ft of fencing to make a pen for hogs. If you have a river on one side of your property, what is the dimension of the rectangular pen that maximizes the area? 321. You need to construct a fence around an area of 1600 ft. What are the dimensions of the rectangular pen to minimize the amount of material needed? 322. Two poles are connected by a wire that...
Two steel pipes (with Young's modulus E=200*10^9 N/m^2) are anchored within a concrete wall so they...
Two steel pipes (with Young's modulus E=200*10^9 N/m^2) are anchored within a concrete wall so they stick out horizontally, parallel to the ground below. They each have a length of l=2.0 m, but the lower one is solid with a radius r=2.0 cm and the upper one is hollow with an inner radius b=2.0 cm. A person with a mass of 70 kg then alternately stands on the free end of either pipe, causing each pipe to bend the same...
Exercise 2: A pipe brings water, with a mass density Pwater, from a dam to the...
Exercise 2: A pipe brings water, with a mass density Pwater, from a dam to the turbine of a hydroelectric plant. The cylindrical pipe, of constant diameter D30.0 cm and length L200 m, ends horizontally, its axis being located at H- 120 m below the free surface of the water in the dam of very big capacity. The departure of the pipe is at Ho- 20 m below the level of the free surface of the dam considered constant. The...
please show clear steps solution. Prob-2 If the flow of 0.10 m/s of water is to...
please show clear steps solution.
Prob-2 If the flow of 0.10 m/s of water is to be maintained in the system shown, what power must be added to the water by the pump? The pipe is made of steel and is 20 cm in diameter. Use table 10.4 and AS for ks ? and ? Elevation = 13 m Elevation = 10 m Water T-10°C 40 m 40 m Table 104 EQUIVALENT SAND-GRAIN ROUGHNESS, FOR VARIOUS PIPE MATERIALS Boundary Material...
please show clear steps solution. Prob-1 Points A and B are 1 km apart along a...
please show clear steps solution.
Prob-1 Points A and B are 1 km apart along a 20 cm new steel pipe. Point Bis 20 m higher than A. With a flow from A to B of 0.03 m/s of crude oil (S 0.82) at 10°C (1 = 102N s/m'), What pressure must be maintained at A if the pressure at B is to be 400 kPa? Table 104 EQUIVALENT SAND-GRAIN ROUGHNESS, FOR VARIOUS PIPE MATERIALS Boundary Material M A. Inches...
The figure shows a ball with mass m = 0.237 kg attached to the end of...
The figure shows a ball with mass m = 0.237 kg attached to the end of a thin rod with length L = 0.607 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. The rod is held horizontally as shown and then given enough of a downward push to cause the ball to swing down and around and just reach the vertically upward position, with zero speed...
plete all problems on separate paper. You must write all equations. In problems 1-4, technology be used to solve or find derivatives, but you must include this with your work if you do. Problem 5 may will be in CoCalc. 1. A hallway that is 8 feet wide meets another hallway 5 feet wide. What is the shortest length from one wall to another that touches the inside corner as shown in the diagram? (hint: you need Pythagorean Theorem and...
We have a square where each side is 2cm. At the top-left corner, there is a charge of -3uc. What does the charge need to be at the bottom left corner and the top right corner so that the electric field at the bottom right corner is zero? An electron is released from rest in a uniform electric field. The electron accelerates vertically upward, traveling 4.50m in the first 3.00 mu s after it is released. What is the magnitude...
rage of 5 Problem 2: The speed of sound in a certain metal is vm. One end of a long pipe of that metal of length L is struck a hard blow. A listener at the other end hears two sounds, one from the wave that travels along the pipe's metal and the other from the wave that travels through the air inside the pipe. (a) If v is the speed of sound in air, what is the time interval...
Please help with problems 317 and 319
320. You have 800 ft of fencing to make a pen for hogs. If you have a river on one side of your property, what is the dimension of the rectangular pen that maximizes the area? 321. You need to construct a fence around an area of 1600 ft. What are the dimensions of the rectangular pen to minimize the amount of material needed? 322. Two poles are connected by a wire that...
Exercise 2: A pipe brings water, with a mass density Pwater, from a dam to the turbine of a hydroelectric plant. The cylindrical pipe, of constant diameter D30.0 cm and length L200 m, ends horizontally, its axis being located at H- 120 m below the free surface of the water in the dam of very big capacity. The departure of the pipe is at Ho- 20 m below the level of the free surface of the dam considered constant. The...
please show clear steps solution.
Prob-2 If the flow of 0.10 m/s of water is to be maintained in the system shown, what power must be added to the water by the pump? The pipe is made of steel and is 20 cm in diameter. Use table 10.4 and AS for ks ? and ? Elevation = 13 m Elevation = 10 m Water T-10°C 40 m 40 m Table 104 EQUIVALENT SAND-GRAIN ROUGHNESS, FOR VARIOUS PIPE MATERIALS Boundary Material...
please show clear steps solution.
Prob-1 Points A and B are 1 km apart along a 20 cm new steel pipe. Point Bis 20 m higher than A. With a flow from A to B of 0.03 m/s of crude oil (S 0.82) at 10°C (1 = 102N s/m'), What pressure must be maintained at A if the pressure at B is to be 400 kPa? Table 104 EQUIVALENT SAND-GRAIN ROUGHNESS, FOR VARIOUS PIPE MATERIALS Boundary Material M A. Inches...
The figure shows a ball with mass m = 0.237 kg attached to the end of a thin rod with length L = 0.607 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. The rod is held horizontally as shown and then given enough of a downward push to cause the ball to swing down and around and just reach the vertically upward position, with zero speed...
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