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Give stokes law by dimension method

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Give stokes law by dimension method

    • Posted by Karan Dhiman 7 years ago

    CBSE > Class 11 > Physics
    • 1 answers

    Priya Dharshini ☺☺ 7 years ago

    Dimensional analysis proof of Stokes' Law Suppose that the sphere has radius r and falls through a fluid of viscosity η. Let the terminal velocity be v We can calculate the viscous drag F on the sphere by dimensional analysis. If F = krxηyvz We have MLT-2 = Lx(ML-1T-1)y(LT- 1)z Solving this gives x = 1, y = 1 and z = 1. By other methods k can be shown to be 6π. Thus giving: F = 6πηrv

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