Question

In a hydroelectricity production, water falls from a dam into a turbine wheel 49 m below. What is the velocity of water at the turbine?

A) 0 m/s
B) 15.5 m/s
C) 31 m/s
D) 46.5 m/s

Answer 1

31m/s

Explanation:

Using the equation of motion

v² = u² + 2gH

H is the height of fall = 49m

g is the acceleration due to gravity = 9.8m/s²

u is the initial velocity = 0m/s

v² = 0² + 2(9.8)(49)

v² = 960.4

v = √960.4

v = 30.9m/s

v ≈ 31m/s

Hence the velocity of water at the turbine is 31m/s