Use the Command Window to complete the following exercises.
(1). Find the output of \(b\) given that \(a = 6\) and \(b = 12a\).
(2). Using Ohm’s law,
\[V = i \times R\]
find the electrical current \(i\) passing through a resistor of resistance \(R=2 \times 10^{3}\ \Omega\), and a voltage potential \(V=12\text{ V }( \text{DC})\).
(3). Find the area (\(\text{in}^2\)) of a right-angled triangle that has a base measurement of 4 inches and an adjacent angle of \(32^{\circ}\).
(4). Find the lift force in Newtons of an airfoil at a constant velocity (V) of 35 m/s, and in a fluid environment with a density (\(\rho\)) of \(1.247\ \text{kg/m}^3\). The airfoil has an exposed area (\(A_{exp}\)) of \(2451\text{ cm}^{2}\) and the coefficient of lift is found to be 0.81. For your solution, you may use the formula for the lift force as:
\[\displaystyle F_{\text{Lift}} = \frac{1}{2}\rho A_{\text{exp}} C_{\text{lift}} V^{2}\]
(5). Redo exercise 4 as follows. Find the lift force in Newtons using the same fluid density, exposed area, and lift coefficient as stated in Exercise 4, but choose the velocity first to be 25 m/s and then to be 50 m/s. Note that the values of fluid density, lift coefficient, and exposed area are already stored in MATLAB.