# Homework Help: Lift a hemispherical dome filled with water by rotating it

1. Feb 12, 2017

### Bohr1227

1. The problem statement, all variables and given/known data
A hemispherical dome filled with water, radius 2 m and weight 30 tons, can be lifted by giving it a constant angular velocity around its vertical line of symmetry. The dome has a hole on the top. Decide the minimum angular velocity.

2. Relevant equations
Shown in the attached picture.

3. The attempt at a solution
Shown in the attached picture.

Last edited: Feb 12, 2017
2. Feb 12, 2017

### Nidum

I don't understand this problem . Angular velocity of what ? How does whatever it is act on the hemisphere to lift it ??

3. Feb 12, 2017

### Bohr1227

I'm sorry, I have tried to make the problem clearer now :)

4. Feb 14, 2017

### CWatters

How does rotating something cause translation? Sounds like a breach of conservation of momentum?

Edit: So the water isn't lifted, just the hemisphere?

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