Water with density and kinematic viscosity of 1000 kg/m², 1 x10-6 m²/s respectively flow through a 0.1 m diameter 10 m long horizontal pipe and Figure 1 shows the exponent value (n) for power laws velocity profiles. If average velocity of the flow is 1 m/s, determine; (i) (ii) centerline velocity; and time average velocity at a location of 0.025 m from the pipe centerline. 11 10 9 n 8 7 6. 104 105 106 Re = Figure 1: the exponent value (n) for power laws velocity profiles

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.