A bubble is sphere with 10 mm radius and a density of 1.0 kg/m^3. This goes...

A bubble is sphere with 10 mm radius and a density of 1.0 kg/m^3.

This goes up in a glass of water which has Pwater=0.95 g/cm^3.

It starts at the bottom of a glass which is 10 cm tall.

Cd=0.8

Hypothesize how long it would take the bubble to rise to the top of the glass.

Draw a complete force diagram of the bubble, including weight, buoyancy and drag forces. Make sure your coordinate axis points in the direction of positive acceleration.

Write down the equation of motion in the vertical direction, and solve for the terminal speed of the bubble when these forces are in balance.

Assuming the bubble mostly travels at this terminal speed, how much time does it take to get to the top of the glass?

Expert Solution

genius_generous answered 2 years ago

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