If water falls from a dam into a turbine wheel 20 metre below, then find the velocity of water at the turbine

Dear Student,
Answer to your question is given below:
Given, height of the dam, h = 20 macceleration due to gravity, g = 10 m/s2During the fall the Potential Energy gets converted to Kinetic Energy,Potential Energy, PE = mghand Kinetic Energy, KE = 12mv2By the conservation of total mechanical energy,KE= PE 12mv2 = mgh v2 = 2gh v2 = 2× 10 × 20v = 400v = 20  m/sThe velocity of water at the turbine is 20 m/s.
Regards,

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