Texts: A haulage gear is driven by a motor which develops 15 kW at a full speed of 750 rev/min. The haulage drum is 1.5 m in diameter, and the total reduction ratio of the gearing between the motor and drum is 15:5. The efficiency of the gear is 75 percent, the gradient is 1 in 25, and the rail friction is 135 N per tonne of load. The masses of the gear are equivalent to a total mass of 2.3 Mg, with a radius of gyration of 0.5 m at the drum shaft. Calculate the total load that can be hauled at the full speed. If the motor can give an excess torque of 10 percent of that at full speed, calculate the acceleration possible, assuming that the efficiency and rail friction values remain unaltered.

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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Texts: A haulage gear is driven by a motor which develops 15 kW at a full speed of 750 rev/min. The haulage drum is 1.5 m in diameter, and the total reduction ratio of the gearing between the motor and drum is 15:5. The efficiency of the gear is 75 percent, the gradient is 1 in 25, and the rail friction is 135 N per tonne of load. The masses of the gear are equivalent to a total mass of 2.3 Mg, with a radius of gyration of 0.5 m at the drum shaft. Calculate the total load that can be hauled at the full speed. If the motor can give an excess torque of 10 percent of that at full speed, calculate the acceleration possible, assuming that the efficiency and rail friction values remain unaltered.
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