A motor vehicle with a total weight 1361 kg has wheels of 63.5 cm effective diameter. The engine develops a maximum torque of 203 Nm when running at uniform speed, and the transmission efficiency is 85%. Given that the total moment of inertia of the wheels and the axels is 7.6 kg. m2 and that of the engine and flywheel is 0.84 kg. m2, calculate the value of the gear ratio that will give maximum acceleration up a slope of 1 in 8 with a resistance of 27 kg under maximum torque.

A motor vehicle with a total weight 1361 kg has wheels of 63.5 cm effective diameter. The engine develops a maximum torque of 203 Nm when running at uniform speed, and the transmission efficiency is 85%. Given that the total moment of inertia of the wheels and the axels is 7.6 kg. m2 and that of the engine and flywheel is 0.84 kg. m2, calculate the value of the gear ratio that will give maximum acceleration up a slope of 1 in 8 with a resistance of 27 kg under maximum torque.

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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Question

A motor vehicle with a total weight 1361 kg has wheels of 63.5 cm effective diameter. The engine develops a maximum
torque of 203 Nm when running at uniform speed, and the transmission efficiency is 85%. Given that the total moment
of inertia of the wheels and the axels is 7.6 kg. m2 and that of the engine and flywheel is 0.84 kg. m2, calculate the
value of the gear ratio that will give maximum acceleration up a slope of 1 in 8 with a resistance of 27 kg under
maximum torque.

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