Can someone please help me to solve number 1 and 2 showing all work thank you! 1.IcUsing t= . J=J(d-d)32d₂develop an algebraic equation for calculating the outside diameter d, of2d₁a round hollow shaft with a diameter ratio -0.9 such that d, is a function of t and Tonly. Write the equation indoand c=simplest terms.2.A hollow steel shaft has an allowable shear stress of 150 MPa and a diameter ratio d/d=0.9. Use your answer fromproblem #1 to find the outside diameter required to support a torque of 750 N-m. [mm]

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Answered: 1. d. . develop an algebraic equation…

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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Can someone please help me to solve number 1 and 2 showing all work thank you!

1.
Ic
Using t= . J=
J
(d-d)
32
d₂
develop an algebraic equation for calculating the outside diameter d, of
2
d₁
a round hollow shaft with a diameter ratio -0.9 such that d, is a function of t and Tonly. Write the equation in
do
and c=
simplest terms.
2.
A hollow steel shaft has an allowable shear stress of 150 MPa and a diameter ratio d/d=0.9. Use your answer from
problem #1 to find the outside diameter required to support a torque of 750 N-m. [mm]

Expert Solution

Step 1: Given data

$straight tau equals Tc over straight J straight J equals fraction numerator straight pi cross times open parentheses straight d subscript 0 to the power of 4 minus straight d subscript straight i to the power of 4 close parentheses over denominator 32 end fraction straight c equals straight d subscript 0 over 2 straight d subscript straight i over straight d subscript 0 equals 0.9 therefore comma space bold d subscript bold i bold equals bold 0 bold. bold 9 bold cross times bold d subscript bold 0 bold for bold space bold problem bold space bold 2 bold comma Max. space shear space stress comma bold space straight tau equals 150 space MPa Torque comma space straight T equals 750 space straight N. straight m$

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