A simple way of measuring the drag force is shown in Figure P13.13. An object, in this
Question:
A simple way of measuring the drag force is shown in Figure P13.13. An object, in this case a sphere of weight, \(W\), and diameter, \(d\), is suspended using a relatively weightless wire of length, \(L\). A fluid having a free stream velocity of \(v_{\infty}\) flows past the sphere.
a. Develop an expression relating the drag coefficient, \(C_{D}\), the velocity, \(v_{\infty}\), and the size and weight of the object.
b. Using your expression, determine the drag coefficient for a sphere that is \(10 \mathrm{~cm}\) in diameter, weighing \(2 \mathrm{~N}\), exposed to air stream at \(300 \mathrm{~K}\) flowing at \(20 \mathrm{~m} / \mathrm{s}\), and suspended by a wire \(50 \mathrm{~cm}\) long if the angle the sphere makes with the vertical is \(26.5^{\circ}\).
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