Answer the following questions about specific speed and pump similarity.
(a) Using both U.S. and Sl units, show that the shape number given in Equation 5.24 is dimensionless.
(b) Is specific speed a dimensionless number (Equations 5.25 and 5.26)?
(c) Is it possible to derive Equation 5.25 from Equation 5.26 based on the relationship between power and flow rate? Will the specific speed defined by the two different relationships be identical?
(d) In Example 5. 10, Equation (a) was used to determi ne the impeller diameter. Derive this equation based on the premise that geometrically similar pumps have the same ratio of water discharge velocity to vane tip peripheral speed.