Chapter 9, Problem 15EP

Alex is measuring the time-averaged velocity components in a pump using a laser Doppler velocimeter (LDV). Since the laser beams are aligned with the radial and tangential directions of the pum, he measures the u_rand $u_{\theta }$ components of velocity: At r=5.20 in and $\theta =30.0°,u_r=2.06\text{ft/s}$ and $u_{\theta }=4.66\text{ft/s}$ . Unforunately, the data analysis program requires input in Cartesian corrdinates $\left(x,y\right)$ in feet and $\left(u,v\right)$ in ft/s. Help Alex transfrom his data into Cartesian coordinates. Specifically, calculate $x,y,u$and $v$ at the given data point.