Hydraulic Machines MCQ with answer and solution

Concept

Pelton Wheel Bucket Velocity

Formula

u = Ku × √(2gH)

Step-by-step solution

1. Use the formula for the tangential velocity of the runner: u = Ku \* √(2gH), where Ku is the speed ratio, g is acceleration due to gravity, and H is the net head. 2. Observe that u is directly proportional to Ku (speed ratio) and √H (square root of net head). 3. Conclude that u depends on both the speed ratio and the square root of the net head.

Explanation

The velocity of a Pelton wheel at the pitch circle is given by the formula u = Ku × √(2gH), where Ku is the speed ratio and H is the net head. This formula shows that the wheel's velocity is directly proportional to both the speed ratio and the square root of the net head. Therefore, both options A and B are correct.

Shortcut

Remember the formula u = Ku × √(2gH), where wheel velocity (u) is directly multiplied by both the speed ratio (Ku) and the square root of the net head (√H).