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Find the expression for the power of P, developed by a pump when P depends upon the head H, the discharge Q and specific weight 'w' of the fluid
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Power P is a function of

1) Head, H 2) Discharge, Q

3) Specific weight, w

P= KH$^{a} . Q^{b}.. w^{c}$

where K= non- dimensional constant

substituting the dimensions on both sides of equation 1)

ML$^{2}T^{-3}=KL^{a}.(L^{3}T^{-1})^{b}.(ML^{-2}T^{-2})^{c}$

equating the power M,L and T on both sides

Power of m, 1=c c=1 …

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