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.

6in. F -Brake arm -Brake cord