The 200 -kg boat is powered by the fan which develops a slipstream having a diam
ID: 1856854 • Letter: T
Question
The 200 -kg boat is powered by the fan which develops a slipstream having a diameter of 0.75 m. IF the fan ejects air with speed of 14 m/s, measured relative to the boat, determine the initial acceleration of the boat if it is initially at rest. Assume that air has a constant density of pa=1.22 kg/m^3 and that the entering air is essentially at rest. Neglect the drag resistance of water.
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Explanation / Answer
F = ma = density of air x area of the fan x (velocity of air )^2 = 1.22 x 3.14 x (0.75/2)^2 x (14)^2 = 105.586
a = 105.586/200 = 0.53
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