The volume rate of flow, Q, through a pipe containing a slowly moving liquid is given by the equation TR*Ap 8µl where R is the pipe radius, Ap the pressure drop along the pipe, µ a fluid property called viscosity (FL-²T), and l the length of pipe. What are the dimensions of the constant ë/8? Would you classify this equa- tion as a general homogeneous equation? Explain.

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Units and Dimensions

Dimensions are the basic concepts of the measurement of quantities. Units are the means of expressing the dimensions. For instance, an area has a dimension of L2 and a unit of m2.