- #1
Bravemeister
- 4
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A u tube open at both ends and a uniform cross section contains a mas of mercury,m and a density of 'rho' if the level is slightly disturbed show the surface oscillates with a periodic time of
Tn=2pi sqrt[(m/2g'rho'a)]
where a is the cross sectional area.
i understand how to do this question if it were a spring with a spring constant of k or whatever but i don't know how to do it for a fluid.
I know that circular frequency is sqrt[m/m] and that the frequency is circular frequency/2pi and the time period is 1 over frequency.
the question says the desired result should be found using Newtons laws and the energy method.
Tn=2pi sqrt[(m/2g'rho'a)]
where a is the cross sectional area.
i understand how to do this question if it were a spring with a spring constant of k or whatever but i don't know how to do it for a fluid.
I know that circular frequency is sqrt[m/m] and that the frequency is circular frequency/2pi and the time period is 1 over frequency.
the question says the desired result should be found using Newtons laws and the energy method.