A motor vehicle of mass 1000 kg has road wheels of 600 mm rolling diameter. The total moment of inertia of all four road wheels together with the half shafts is 10 kgm2 , while that of the engine and clutch is 1 kg-m2 . The engine torque is 150 N-m, the transmission efficiency is 90 per cent and the tractive resistance is constant at 500 N. Determine 1. Gear ratio between the engine and the road wheels to give maximum acceleration on an upgrade of 1 in 20, and 2. The value of this maximum acceleration.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A motor vehicle of mass 1000 kg has road wheels of 600 mm rolling diameter. The total moment of
inertia of all four road wheels together with the half shafts is 10 kgm2
, while that of the engine and
clutch is 1 kg-m2
. The engine torque is 150 N-m, the transmission efficiency is 90 per cent and the
tractive resistance is constant at 500 N. Determine 1. Gear ratio between the engine and the road
wheels to give maximum acceleration on an upgrade of 1 in 20, and 2. The value of this maximum
acceleration. 

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