Butter is being turned by rotating cylinder of diameter 6 inches and height 24 inches centered within a 8 inch diameter tube (assume no interactions at the top or bottom of the cylinder - also note that these are diameters be careful with your calculations). Mid process the power required to turn the mechanism at 1200 RPM is 42.1 W. What are the dynamic and kinematic viscosities (in cP and cSt) of the butter at this point? Assume no-slip conditions with a linear velocity profile. Use 1.03 kg/L as the density of the butter at this state. Later on the dynamic viscosity of the liquid doubles. How fast is the cylinder turning, if the system is operating under the same power conditions? (Careful, rotational rate shows up in your calculation twice)