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2. (3 pts) Port or starboard? Either oar. A rower pulls back on an oar to propel their boat through water. In this problem, consider

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2. (3 pts) Port or starboard? Either oar. A rower pulls back on an oar to propel their boat through water. In this problem, consider the oar to be a paddle (circular disc) with an area of 0.2 m2 and a drag coefficient (Ca) of , 1.0. It takes one second for the oar to complete a stroke (a swing through \\\\ a?" /" a SUI-degree are centered about the mid-section of the boat) with a constant \"a: '.' '1" '3... angular velocity. The distance from the point of rotation of the paddle (to ' the center of the disc) is 2 m. (a) Derive an equation that predicts how the thrust (forward force) in a stroke changes as a function of time if the boat's forward velocity is assumed to be tiny with respect to the rearward oar velocity (i.e. the forward velocity of the boat is negligible). (b) Plot the thrust as a function of time (0 to 1 sec) (c) How might the fact that the boat is moving in a direction opposite to the oar modify your analysis? (hint: consider the velocity of the oar relative to the water)

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