Question

4. In a chicken farm, the weight of the eggs show a normal distribution with a mean X' and a standard deviation \sigma. \(5 \%\) of the eggs have a weight greater than \(85 \mathrm{~g}\) while \(10 \%\) of them are less than \(25 \mathrm{~g}\). Determine the arithmetic mean and standard deviation of the eggs. (15 points)

5. Reynolds number for pipe flow may be expressed as

\(\operatorname{Re}=(4 \mathrm{~m} / \mathrm{md}) / \mu\)

Where \(\mathbf{m}=\) mass flow, \(\mathrm{kg} / \mathrm{s}\)

\(\mathrm{d}=\) pipe diameter, \(\mathrm{m}\)

\(\mu=\) viscosity, \(\mathrm{k} / \mathrm{m} \mathrm{s}\)

In a certain system, the flow rate is \(5.448 \mathrm{~kg} / \mathrm{min} \pm 0.5 \%\), through a \(0.5\) " (inch) diameter \(\left(\pm 0.005^{\prime \prime}\right)\). The viscosity is \(1.92 \times 10^{-5} \mathrm{~kg} / \mathrm{m} \mathrm{s}, \pm 1 \% .\) Calculate the value of the Reynolds Number and its uncertainty. Determine the main contribution to uncertainity. (10 points)

Answer 1

m man ou) b0 Re 2 / 4 x 0.0908 x 0 , 0123/ れ detumin unurtan tomula R e wrtntainity in mau Hlous ate

wd 005 d 0.5 us7 0.5ゾ·70.005 O) Ro 0 00 5 N 0.005+0.0) 2
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