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The distance moved by a particle in tim...

The distance moved by a particle in time from centre of ring under the influence of its gravity is given by `x=a sin omegat` where a and `omega` are constants. If `omega` is found to depend on the radius of the ring (r), its mass (m) and universal gravitation constant (G), find using dimensional analysis an expression for `omega` in terms of r, m and G.

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The correct Answer is:
`omega=Ksqrt((GM)/(r^(3)))`
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ALLEN -UNIT & DIMENSIONS, BASIC MATHS AND VECTOR -Exercise (S-1)
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  4. A satellite is orbiting around a planet. Its orbital velocity (V(0)) i...

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