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Raihan amin
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1.
A closed cylindrical vessel filled with water (at room temperature) contains a small air bubble of normal pressure and volume ##V=1~{cm}^3## inside in it.The cylinder is then started to be rotated slowly with a small angular acceleration in a complete weightlessness (at a space station) .When the angular velocity of the cylinder has reached to ##w_0=30~s^{-1}##,it is kept constant.
Find the stationary shape of the air bubble.The surface tension of the water is ##\sigma=0.7~ N/m##.
The extra pressure inside a bubble is related to the surface tension is as follows:
$$∆P=\frac{2\sigma}{R}$$.
And for cylindrical symmetry, the pressure inside the container will be
$$P=\frac{1}{2}{\rho}w^2r^2$$
From V we can find ##R_0##.
But i can't figure out how the velocity of water particle will affect the shape of the bubble and what is the advantage of weightlessness?
Thanks.
A closed cylindrical vessel filled with water (at room temperature) contains a small air bubble of normal pressure and volume ##V=1~{cm}^3## inside in it.The cylinder is then started to be rotated slowly with a small angular acceleration in a complete weightlessness (at a space station) .When the angular velocity of the cylinder has reached to ##w_0=30~s^{-1}##,it is kept constant.
Find the stationary shape of the air bubble.The surface tension of the water is ##\sigma=0.7~ N/m##.
The extra pressure inside a bubble is related to the surface tension is as follows:
$$∆P=\frac{2\sigma}{R}$$.
And for cylindrical symmetry, the pressure inside the container will be
$$P=\frac{1}{2}{\rho}w^2r^2$$
From V we can find ##R_0##.
But i can't figure out how the velocity of water particle will affect the shape of the bubble and what is the advantage of weightlessness?
Thanks.
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