Assume a 100-m tape measures 3 mm too short. Five measurements of a distance give results of 253.294, 253.287, 253.289, 253.284, 253.297 m, respectively. Compute (show details) the following statistical quantities:

i) Mean

ii) Median

iii) Residuals

iv) Standard Deviation

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Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa. s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)