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The motor at A delivers 50 hp to the shaft while rotating at 1800 rev/min. Each gear removes the power shown in the figure. If the shaft is made of a steel that has an allow- able shear stress of 9 ksi, determine the required diameters, dAB, dBC, and dcp, to the nearest 1/s in.

The motor at A delivers 50 hp to the shaft while rotating at 1800 rev/min. Each gear removes the power shown in the figure. If the shaft is made of a steel that has an allow- able shear stress of 9 ksi, determine the required diameters, dAB, dBC, and dcp, to the nearest 1/s in.

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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### Educational Explanation: In the diagram, a motor at point A delivers 50 horsepower (hp) to a shaft rotating at 1800 revolutions per minute. Several gears along the shaft remove specific amounts of power: - At Gear B, 25 hp is removed. - At Gear C, 15 hp is removed. - At Gear D, 10 hp is removed. The shaft is constructed from steel with an allowable shear stress of 9 kilopounds per square inch (ksi). The task is to determine the required diameters of the shaft segments \( d_{AB} \), \( d_{BC} \), and \( d_{CD} \), to the nearest \( \frac{1}{8} \) inch. The diagram helps visualize the shaft layout and the power removal at each gear, crucial for calculating the correct diameters to ensure the shaft can handle the transmitted power without exceeding the allowable stress.
Transcribed Image Text:### Educational Explanation: In the diagram, a motor at point A delivers 50 horsepower (hp) to a shaft rotating at 1800 revolutions per minute. Several gears along the shaft remove specific amounts of power: - At Gear B, 25 hp is removed. - At Gear C, 15 hp is removed. - At Gear D, 10 hp is removed. The shaft is constructed from steel with an allowable shear stress of 9 kilopounds per square inch (ksi). The task is to determine the required diameters of the shaft segments \( d_{AB} \), \( d_{BC} \), and \( d_{CD} \), to the nearest \( \frac{1}{8} \) inch. The diagram helps visualize the shaft layout and the power removal at each gear, crucial for calculating the correct diameters to ensure the shaft can handle the transmitted power without exceeding the allowable stress.
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