Problem $1$

The following data was obtained during an experiment on a Pelton wheel $($effective radius $2")$ fitted to $2"$ diameter outlet pipe: Position of flow valve at $12,$ measured turbine speed was at $1400rpm,$ pump speed at $2400rpm,$ torque at $16$ inch$-Oz$ and measured capacity was $6\mathrm{.}5cfm.$ Assume the liquid is water.

$($a$)$ Calculate the gear pump's efficiency, Speed ratio

$($b$)($i$.$ Define Speed ratio and $($ii$.$ PLOT the curve for speed ratio vs power and explain the significant points with reasoning.