If the Reynolds number is 4000, what is the Power (P) required in units of watts at a shaft speed (n) of 0.03 Hz? Assume the system contains acetone, with a kinematic viscosity of 0.419 stokes. The density of acetone is 0.785 grams per cubed centimeter. Us Curve B in the graph (attached as an image) to determine your answer. (Hint: Use the Reynolds number of the system to first calculate the diameter, then find the power number, and then calculate the power.
Re = D2n[itex]\rho[/itex] / [itex]\mu[/itex]
Np = P / [itex]\rho[/itex]n3D5
The Attempt at a Solution
When trying to perform the calculation to determine the diameter, I could not get the grams to cancel out to get an answer in the proper units. While trying to continue to work through the problem I got an answer for the diameter to be 2.67 m. This doesn't seem right. How do I go about solving this problem?