Test data for the small Francis turbine shown in Fig. P12.64 is given in the following table.

Question:

Test data for the small Francis turbine shown in Fig. P12.64 is given in the following table. The test was run at a constant $32.8-\mathrm{ft}$

Figure P12.64

head just upstream of the turbine. The Prony brake on the turbine output shaft was adjusted to give various angular velocities, and the force on the brake arm, $F$, was recorded. Use the given data to plot curves of torque as a function of angular velocity and turbine efficiency as a function of angular velocity.