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A water-level control device in a tank is shown in the figure below. When the water level rises above a desired height ho, the device lifts and allows water to drain out through the hole in the bottom of the tank. After a certain amount of water drains, the device falls, and the plug seals the hole. A rod of length L = 0.4 m connects the plug of diameter Dp and the float of diameter D₁ = 0.18 m. The weight of the device (including the float, plug and rod) is W = 20 N. Assume that the thicknesses of the plug and the rod are negligible. Also assume that the device and water move very slowly so that the system can be considered hydrostatic. The density of water is p = 1000 kg/m³. (a) Draw the free-body diagram, and indicate all the forces acting on the device. (b) For a desired water level ho = 0.5 m, what is the plug diameter Dp that makes the device lift up. D₁ ho

A water-level control device in a tank is shown in the figure below. When the water level rises above a desired height ho, the device lifts and allows water to drain out through the hole in the bottom of the tank. After a certain amount of water drains, the device falls, and the plug seals the hole. A rod of length L = 0.4 m connects the plug of diameter Dp and the float of diameter D₁ = 0.18 m. The weight of the device (including the float, plug and rod) is W = 20 N. Assume that the thicknesses of the plug and the rod are negligible. Also assume that the device and water move very slowly so that the system can be considered hydrostatic. The density of water is p = 1000 kg/m³. (a) Draw the free-body diagram, and indicate all the forces acting on the device. (b) For a desired water level ho = 0.5 m, what is the plug diameter Dp that makes the device lift up. D₁ ho

Elements Of Electromagnetics
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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A water-level control device in a tank is shown in the figure below. When the water level rises above a desired height ho, the device lifts and allows water to drain out through the hole in the bottom of the tank. After a certain amount of water drains, the device falls, and the plug seals the hole. A rod of length L = 0.4 m connects the plug of diameter Dp and the float of diameter D₁ = 0.18 m. The weight of the device (including the float, plug and rod) is W = 20 N. Assume that the thicknesses of the plug and the rod are negligible. Also assume that the device and water move very slowly so that the system can be considered hydrostatic. The density of water is p = 1000 kg/m³. (a) Draw the free-body diagram, and indicate all the forces acting on the device. (b) For a desired water level ho = 0.5 m, what is the plug diameter Dp that makes the device lift up. D₁ ho
Transcribed Image Text:A water-level control device in a tank is shown in the figure below. When the water level rises above a desired height ho, the device lifts and allows water to drain out through the hole in the bottom of the tank. After a certain amount of water drains, the device falls, and the plug seals the hole. A rod of length L = 0.4 m connects the plug of diameter Dp and the float of diameter D₁ = 0.18 m. The weight of the device (including the float, plug and rod) is W = 20 N. Assume that the thicknesses of the plug and the rod are negligible. Also assume that the device and water move very slowly so that the system can be considered hydrostatic. The density of water is p = 1000 kg/m³. (a) Draw the free-body diagram, and indicate all the forces acting on the device. (b) For a desired water level ho = 0.5 m, what is the plug diameter Dp that makes the device lift up. D₁ ho
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