Answer to Question #216279 in Field Theory for Fay

Question

The volume v ,of a liquid that flows through a pipe in time t,is given by
V/t =πpr^6/8cl

Where p,is pressure different between the ends of pipe of raidus r and length ,l is a constant
1.Determine the base units of c

2.Hence suggest what the quantity c represent

Answer 1

Answer

By putting unit of each quantity in given formula

$\frac{m^3}{sec}=(\frac{N}{m^2}×m^6) /[c ]m$

[c] represents unit of "c"

So

$[c]=\frac{N×sec×m^6}{m^2×m^3×m}$

$[c]=\frac{N×sec×m^6}{m^6}$

$[c]=N-sec$

Its represent impulse.