Answered: An automobile engine develops a maximum…

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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An automobile engine develops a maximum torque of 162Nm. The low gear ratio of transmission is 2.75, while the back axle ratio is 4.25. The effective wheels radius is 0.325m and the co-efficient of friction between the tyre and the road surface is 0.6. If the permissible shear stress is 32373 X 104Pa. Determine the maximum shaft diameter. Assuming that the load is nearly torsional. What is maximum load permissible on each wheel?

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Introduction

In this problem, we utilize the generalized torsional equation to compute the maximum shaft diameter and permitted load on each wheel, taking into account the supplied shear stress and overall torque-producing capacity.

Given data:

$\begin{array}{rcl} maximum torque {(T)}_{\max} & = & 162 N m \\ low gear ratio (GR) & = & 2.75 \\ back axel ratio (AR) & = & 4.25 \\ effective wheel radius (r) & = & 0.325 m \\ coefficient of friction (μ) & = & 0.6 \\ permissible shear stress (ζ) & = & 32373 \times 10^{4} Pa \end{array}$

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