Air is delivered through a constant-diameter duct by a fan. The air is inviscid, so the fluid velocity profile is "flat" across each cross section. During the fan start-up, the following velocities were measured at the time \(t\) and axial positions \(x\) :

Calculate the local acceleration, the convective acceleration, and the total acceleration at \(t=1.0 \mathrm{~s}\) and \(x=10 \mathrm{~m}\). What is the local acceleration after the fan has reached a steady air flow rate?

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x=0 1=0s 1 = 1.0 s V = 0 m/s V = 0 m/s V = 1.00 m/s V = 1.20 m/s x = 10 m x = 20 m V = 0 m/s V = 1.40 m/s t = 2.0 s V = 1.70 m/s V = 1.80 m/s t = 3.0 s V = 2.10 m/s V = 2.15 m/s V = 1.90 m/s V = 2.20 m/s