You would like to know the thickness of a syrup film as it drains at a rate of $1 \mathrm{gpm}$ down a flat surface that is $6 \mathrm{in}$. wide and is inclined at an angle of $30^{\circ}$ from the vertical. The syrup has a viscosity of $100 \mathrm{cP}$ and a SG of 0.9. In the laboratory, you have a fluid with a viscosity of $70 \mathrm{cP}$ and a $\mathrm{SG}$ of 1.0 and a $1 \mathrm{ft}$ wide plane inclined at an angle of $45^{\circ}$ from the vertical.

(a) At what flow rate, in gpm, would the laboratory conditions simulate the specified conditions?

(b) If the thickness of the film in the laboratory is $3 \mathrm{~mm}$ at the proper flow rate, what would the thickness of the film be for the $100 \mathrm{cP}$ fluid at the specified conditions?