The flow rate of water from a tap of diameter 1.25 ~cm is 3 litres per min. If coefficient of viscosity of water is 10⁻³ ~Pa - s . the nature of flow is

Step-by-step solution

Given, diameter of tap, D=1.25 ~cm =1.25 10⁻² ~m Density of water, =10^3 kgm ⁻³ Coefficient of viscosity, =10⁻³ ~Pa - s Volume of water flowing out per second aligned Q & =3 L / min & = 3 10⁻³ 60 =5 10⁻⁵ ~m ^3 ~s ⁻¹ aligned As, Q=v A=v D^2 4 v= 4 Q D^2 Reynold's number is given by aligned R_e= v D n & = 4 Q D = 4 10^3 5 10⁻⁵ 3.14 1.25 10⁻² 10⁻³ & =5095 aligned For Reynold's number, the flow of liquid is turbulent if R_e>3000 . Hence, the nature of flow of water is turbulent.