The figure below shows the vanes of a centrifugal-pump impeller which turns with a constant clockwise speed of 120 rev/min. The fluid particles are observed to have an absolute velocity whose component in the r-direction is 4 m/s at discharge from the vane. The acceleration of the particles measured relative to the vane is 8 m/s2 in the direction shown in the figure just before they leave the vane.
Determine the magnitude of the total acceleration of a fluid particle P before it leaves the impeller if R = 140 mm.
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