The illustration below shows a vane with a turning angle which moves with a steady speed . The vane receives a jet that leaves a fixed nozzle with speed . (a) Assume that the vane is mounted on rails...

The illustration below shows a vane with a turning angle

which moves with a steady speed
. The vane receives a jet that leaves a fixed nozzle with speed
.

(a) Assume that the vane is mounted on rails as shown in the sketch. Show that the power transmitted to the cart is maximum when

(b) Assuming that the are a large number of such vanes attached to a rotating wheel with peripheral speed,
, show that the power transmitted is maximum when
.