The radial position of a fluid particle P in a certain centrifugal pump with radial vanes is approximated by r = r₀ cosh Kt, where t is time and K = θ˙ is the constant angular rate at which the impeller turns. Determine the expression for the magnitude of the total acceleration of the particle just prior to leaving the vane in terms of r₀, R, and K.

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P R Fixed reference axis TO Problem 2/141