Imagine I set up an experiment where I can change the velocity of the fluid without changing any other variables. I then do some experimenting, and I establish the following equation:

$R_e=254*v(\frac{ft}{\text{m}\text{i}\text{n}})$

a$.$ What are the units on the constant $254?$

b$.$ Fluid velocity is rarely measured in these units. Convert this equation such that it will accept fluid velocity measured in meters per second. Collect terms and simplify until the equation has only one constant.

c$.$ My experimental set up has a pipe diameter of $1$ inch and the viscosity is $1$ centipoise. What is the specific gravity of the fluid in my experiment?

$2.$ I change my experiment around a bit, so that it will allow me to change the viscosity of the fluid in the experiment without changing anything else. I then establish this equation:

$Re=1\mathrm{.}02**\frac{1}{k[\frac{m^2}{m}in]}$

Where $k$ is the kinematic viscosity.

a$.$ What are the units on the constant $1\mathrm{.}02?$

b$.$ It is rare to work with these units of kinematic viscosity. Convert the equation so that it will accept dynamic viscosity $($sometimes referred to simply as 'viscosity'$)$ in centipoise and density in pound$-$mass per cubic feet.