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# Answer to Question #118396 in Mechanics | Relativity for bonidefaye judah

Question #118396
A solid shaft of 10cm diameter transmits 74 kW at 150 rev/min. Calculate (a) the
torque on the shaft, (b) the maximum shear stress developed, (c) the angle of twist in a
length of 1.50m, and (d) the shear stress at a radius of 3cm. Take G = 8 MN/cm2
1
2020-05-29T09:48:35-0400

a)

"P=\\frac{2\\pi NT}{60}\\to 74000=\\frac{2\\pi (150)T}{60}"

"T=4711\\ Nm"

b)

"T=\\frac{\\pi}{16}\\tau d^3\\to 4711=\\frac{\\pi}{16}\\tau (0.1)^3"

"\\tau=24\\cdot10^6\\frac{N}{m^2}"

c)

"\\frac{T}{J}=\\frac{G\\theta }{l}\\to \\frac{T}{ \\frac{\\pi}{32} d^4}=\\frac{G\\theta }{l}"

"\\frac{4711}{ \\frac{\\pi}{32} (0.1)^4}=\\frac{8\\cdot 10^{10}\\theta }{1.5}"

d)

"T=\\frac{\\pi}{16}\\tau' \\frac{d^4-(2r)^4}{d}\\to 4711=\\frac{\\pi}{16}\\tau' \\frac{0.1^4-(0.06)^4}{0.1}"

"\\tau'=2.76\\cdot10^7\\frac{N}{m^2}"

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