Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 5, Problem 5.13P
Heat transfer from a rod of diameter D immersed in a fluid can be described by the Nusselt number. Nu = hD/k. where h is the heat-transfer coefficient and k the thermal conductivity of the fluid. If h can be measured to within ±1% (95%), estimate the uncertainty in Nu for the nominal value of h = 150 W/nr-K. Let D= 20 ±0.5 mm and k = 0.6 ± 2% W/m-K.
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motor supplies 200 kW at 6 Hz to flange A of the shaft shown in Figure. Gear B transfers 125 W of power to operating machinery in the factory, and the remaining power in the shaft is mansferred by gear D. Shafts (1) and (2) are solid aluminum (G = 28 GPa) shafts that have the same diameter and an allowable shear stress of t= 40 MPa. Shaft (3) is a solid steel (G = 80 GPa) shaft with an allowable shear stress of t = 55 MPa. Determine:
a) the minimum permissible diameter for aluminum shafts (1) and (2)
b) the minimum permissible diameter for steel shaft (3).
c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).
Chapter 5 Solutions
Theory and Design for Mechanical Measurements
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