Water falls onto a water wheel causing it to rotate. Consider an instant when th

Question

Water falls onto a water wheel causing it to rotate. Consider an instant when the water wheel is initially motionless and then 100 kg of water hits tangent to the wheel at a radius of 2 m (this water can be treated like a point mass). If the moment of inertia of the water wheel is 3000 kg?m2, what is the angular speed of the water wheel immediately after the water has hit it (in rad/s)? there is also a note that V-initial is 5 m/sec so I know that the answer in 0.29 rads/sec but can someone explain why and which formula I would need to use to solve this type of problem?

Explanation / Answer

Angular moemntum conservation, mv*r = I

100*5*2 = 3000*

= 0.333 rad/s

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