You and a friend plan to throw one end of a hose over a tall fence to siphon water from your side to the other side. Your friend says it doesn't matter how high the fence is, it will always work as long as your end of the hose is higher than the other side. However, you remind him that isn't actually true. What is the potential problem and about how high can the fence be (in meters) before it becomes an issue?

You and a friend plan to throw one end of a hose over a tall fence to siphon water from your side to the other side. Your friend says it doesn't matter how high the fence is, it will always work as long as your end of the hose is higher than the other side. However, you remind him that isn't actually true. What is the potential problem and about how high can the fence be (in meters) before it becomes an issue?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The water level in a tank is 34 ft above the ground. A hose is connected to the bottom of the tank at the ground level and the nozzle at the end of the hose is pointed straight up. The tank cover is airtight, but the pressure over the water surface is unkown. Determine the minimum tank air pressure (gage) that will cause a water stream from the nozzle to rise 72 ft from the ground. A. 13.5 psi B. 14.4 psi C. 16.5 psi D. 15.5 psi With F.B.D.
PROBLEM 2 Consider a firefighter who is standing on a ladder and spraying water with a hose into Chief Inspector Jacques Clouseau's (Figure 3a) third-story apartment. A diagram of the hose/nozzle used by the firefighter is shown in Figure 3b. Assume the nozzle has little effect on the flow in the hose and water in the hose/nozzle is incompressible. The temperature of the water in the hose is 15 °C. (a) Chief Inspector Jacques Clouseau investigating the cause of the fire in his apartment. water hose diameter=10cm outlet diameter=5cm Figure 3 个个个 outlet velocity=6ms¹ (b) Fire hose/nozzle used to extinguish the fire in Inspector Clouseau's apartment.
2. A car is traveling on a highway at 28 m/s. a) What is the pressure at the bottom of a car's gas tank. that is a cube with side lengths of 0.5 meters? Assume the tank is full of gasoline with a denisty of 800 kg/m^3. b) How much pressure does a pump need to supply in order to draw gasloine from the bottom of the tank to the top of the tank? The velocity of the gasoline once it is pumped out of the tank should be 1 cm/s; the gas at the bottom of the tank is at rest. c) The gasoline from part b flows through a tube (cylinder) of radius lcm before entering a larger tube of radius 10cm. What will the velocity of the gasoline be in the larger tube? d) The tires on the car have an outer radius of 0.2 meters. How many complete rotations did the tires go through in one hour? Hint: Determine how far the car travels in one hour. e) How many hours can the car travel before running out of gas? f) During your journey. you hit a pothole and have to change your tire. You get your spare…
Water is pumped at a rate 500 litres per minute through a 1 km horizontal, circular pipe of diameter 20 cm. The pipe has a friction factor of 0.05. a) Calculate the average velocity in the pipe. b) Determine the Reynolds number in the pipe and explain what the flow regime is. c) Determine the pressure loss along the length of the pipe. d) Determine the power a pump would need to supply in order to overcome the friction in the pipe.
You only know one point on a pump curve, where a water pump produces 20 m of hydraulic head at flow rate of 3.67 L/s, and you want to use this to pump water from a lower tank to an upper tank located 15 m higher. Both tanks are open to the atmosphere. Briefly explain your reasoning, in 1‐2 sentences, for each of the following. a) Should this pump be placed next to the lower tank or the higher one? b) Given the data point you have from the pump curve, will the flow rate be higher or lower than 3.67 L/s if the water is pumped exactly 15 m uphill?
3. Please calculate the annual electricity production of a wind farm with 20 turbines. The annual mean wind speed is 7 m/s and diameter of the blades is 20 m. If we assume power consumption of a person is 3,000 kWh, about how many people will this energy support? Annual electricity production (KWh) = K Vm³ At T Where: - - - K = 3.2 (factor based on turbine performance) Vm= annual mean wind speed (m/s) At = swept area of turbine (m2) T = number of turbines Suitable for medium- to large-scale wind turbines (> 200 m2 swept area)
9. Niagara Falls is about 50 m high. a. What is the temperature rise in kelvins of the water from just before it goes over the cliff to just after it hits the rocks at the bottom of the falls, assuming negligible air resistance during the fall and that the water doesn't rebound but just splats onto a rock? It is helpful (but not essential) to consider a 1 g drop of water. b. In the Niagara Falls hydroelectric generating plant, the energy of falling water is converted into electricity. Assuming that the energy conversion is highly efficient, approximately how much energy is obtained from one kilogram of falling water? Approximately how many kilograms of water must go through the generators every second to produce a megawatt of power (1 x 106 W)?
Are you as strong as a horse? Purpose: To understand the concept of work and power and to calculate the power generated by yourself or a friend. Materials: A tape measure, stairs, and a stopwatch, cell phone, or wristwatch. Key Physics Concept: Power is the rate of doing work. Power can be calculated by dividing the work done by the time it takes to do the work; in this case we will do work against gravity on a stair case (you may add your power in doing pushups to test your arm power). Can you guess what your peak horsepower is? You may do the stairs one at at time or multiple stairs at a a time; whatever is most safe and efficient for you. Procedure: Observations: Analysis: Conclusions: Application: 1. Will your hp change if you performed the activity for a longer duration (for example, climbed the CN tower staircase)? In what way? Explain. 2. Research the horsepower generated by a car. How does the average person's peak power rating compare to it? How many average people would it…
1. You are setting up for a pool party that has a 2.5 m high slide that launches swimmers into the pool. To make it more exciting, you decide to string a steamer across the pool so that the swimmers just clear it at their maximum height after leaving the slide. The end of the slide is 0.75 m above the ground and is directed 20° above the horizontal. By watching people use the slide, you know the horizontal distance to place the streamer, so you only need to determine the maximum height. You are also curious how fast the swimmers are going when they enter the pool. In your estimates, you can assume that the swimmer starts at rest at the top of the slide and ignore friction on the slide and air resistance. 2.5 m 0.75 m streamer If the angle of the slide were different (say 15°) would either the maximum height or the speed when entering the water be different? Note: Use conservation of energy to answer these questions.
Water is contained in both sides of the cylinder system shown below and the valve is closed. If the pressure on the right hand side of the valve is 119.6 kPa, what is the height in tank B, i.e. what is hp 1? Assume that the atmospheric pressure is 100 kPa, the acceleration due to gravity is 9.807 m/s² and the density of water is 1000 kg/m³. A Po B ha,1=1.5 m Water Water hg,1 1.0 m 0.5 m Pval,left Pyal,right A) 1.0 m B) 1.5 m C) 2.0 m D) 2.5 m
A gardener feels it is taking too long to water a garden with a 0.40 in. diameter hose. By what factor will the time be cut using a 0.53 in. diameter hose instead? Assume nothing else is changed.