4. Air (p = 1.23 kg m-3) leaving a 3-cm-diameter pipe strikes a plate that can rotate about a pivot. The force exerted on the plate by the air jet is counteracted by a spring. When the velocity of the air jet leaving the pipe is 50 m s-1, the plate is perfectly vertical and the spring is displaced from its equilibrium position by 2 cm. The spring is attached to the plate 1.5 cm above the pivot, and the center of the air jet strikes the plate 2 cm below the pivot. The air jet maintains a constant area between the pipe and the plate, the force exerted by the air jet is evenly distributed across its area, and the pressure inside the free air jet is equal to atmospheric pressure. Using this information, determine the spring constant.
4. Air (p = 1.23 kg m-3) leaving a 3-cm-diameter pipe strikes a plate that can rotate about a pivot. The force exerted on the plate by the air jet is counteracted by a spring. When the velocity of the air jet leaving the pipe is 50 m s-1, the plate is perfectly vertical and the spring is displaced from its equilibrium position by 2 cm. The spring is attached to the plate 1.5 cm above the pivot, and the center of the air jet strikes the plate 2 cm below the pivot. The air jet maintains a constant area between the pipe and the plate, the force exerted by the air jet is evenly distributed across its area, and the pressure inside the free air jet is equal to atmospheric pressure. Using this information, determine the spring constant.
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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Transcribed Image Text:4. Air (p = 1.23 kg m-³) leaving a 3-cm-diameter pipe strikes a plate that can rotate about a pivot. The force exerted on the
plate by the air jet is counteracted by a spring. When the velocity of the air jet leaving the pipe is 50 m s-1, the plate is perfectly
vertical and the spring is displaced from its equilibrium position by 2 cm. The spring is attached to the plate 1.5 cm above the
pivot, and the center of the air jet strikes the plate 2 cm below the pivot. The air jet maintains a constant area between the
pipe and the plate, the force exerted by the air jet is evenly distributed across its area, and the pressure inside the free air jet is
equal to atmospheric pressure. Using this information, determine the spring constant.
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