Solving Expressions Analytically 1 point Consider the following equation, which describes the speed of sound a in an ideal gas:
The Mach number M describes the ratio of a velocity v to the acoustic velocity or speed of sound a The Mach number can also be written in terms of the stagnation temperature To. 2 (To Combine these equations and solve symbolically for the temperature T in terms of all other quantities except M. Your answer should be stored in a variable T.result, which will be a list containing one or more syspy expressions. Prefer Te instead of T.e in this case Starter code (oick to view 1 ihport sympy Answer Type here to search
1 answer:
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Answer:
<em>a) 42 mm</em>
<em>b) 144.4 MPa</em>
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Explanation:
Load P = 200 kN = 200 x 10^3 N
Torque T = 1.5 kN-m = 1.5 x 10^3 N-m
maximum shear stress τ = 100 Mpa = 100 x 10^6 Pa
diameter of shaft d = ?
From T = τ * *
substituting values, we have
1.5 x 10^3 = 100 x 10^6 x x
= 7.638 x 10^-5
d = = 0.042 m = <em>42 mm</em>
b) Normal stress = P/A
where A is the area
A = =
= 1.385 x 10^-3
Normal stress = (200 x 10^3)/(1.385 x 10^-3) = 144.4 x 10^6 Pa = <em>144.4 MPa</em>