Alex is measuring the time-averaged velocity components in a pump using a laser Doppler velocimeter (LDV). Since

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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 pump, he measures the ur and uθ components of velocity. At r = 5.20 in and θ = 30.0°, ur = 2.06 ft/s and uθ = 4.66 ft/s. Unfortunately, the data analysis program requires input in Cartesian coordinates (x, y) in feet and (u, v) in ft/s. Help Alex transform his data into Cartesian coordinates. Specifically, calculate x, y, u, and v at the given data point.

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