A horizonta pipeline carrying gasoline has a cross -sectional diameter of 2 mm. If the viscosity and density of the gasoline are `6xx10 ^(-3)` poise and 720 kg //m ^3` respectively , the velocity after which the flow becomes turbulent is

Options

A. ` gt 1.66 m//s`
B. `gt 3.33 m//s`
C. `gt 1.6xx 10^(-3)m//s`
D. `gt 0.33 m//s`

Answer

C

Explanation

Given ,
Diameter of pipe (d )= 5m m = `5xx 10 ^(-3)m`
Density of gasoline `( rho ) = 720 Kg // m^3`
Viscocity of gasoline `( eta ) = 6xx 10 ^(-3) ` poise
we know j that ` V_(C ) = ( eta ) /( rho d ) =(6xx10 ^(-3))/(720xx5xx10 ^(-3))`
` =( 6 xx10 ^3 ) /(3600xx10 ^(-3)) = (1)/(600) =(1) /(6) xx10 ^(-2)`
` = 1.66 xx10 ^(-3) m//s`