SAE 30 oil at \(60^{\circ} \mathrm{F}\) flows through a 2-in.-diameter pipe with a mean velocity of \(5 \mathrm{ft} / \mathrm{s}\). Determine the value of the Reynolds number (see Example 1.4).

Example 1.4

A liquid flows through an orifice located in the side of a tank as shown in Fig. E1.1. A commonly used equation for determining the volume rate of flow, \(Q\), through the orifice is
\[
Q=0.61 A \sqrt{2 g h}
\]

where \(A\) is the area of the orifice, \(g\) is the acceleration of gravity, and \(h\) is the height of the liquid above the orifice.

Investigate the dimensional homogeneity of this formula.

Fig. E1.1

h (a) (b)