Q$3.$ A viscous liquid, with viscosity $=1\mathrm{.}2Pa*s$ and density $=960k\frac{g}{m^3},$ is delivered through a pipe of diameter $30$ cm $.$

a$)$ If the flow of the liquid must remain strictly laminar, what is the maximum velocity that the liquid can travel?

b$)$ If the liquid is pumped at the same velocity through a wider pipe, the flow may become turbulent. Calculate the minimum diameter of pipe that will result in a turbulent flow.