A liquid of density rho flows along a horizontal pipe of uniform cross

1.	A liquid of density rho flows along a horizontal pipe of uniform cross - section A with a velocity v through a right angled bend as shown in Fig. What force has to be exerted at the bend to hold the pipe in equilibrium ?
Answer» <P> Solution :Change in MOMENTUM of mass `Deltam` of LIQUID as it passes through the bend `dP=P_(f)-P_(i)=sqrt2d Delta mv` `F=(dP)/(dt)=(sqrt2)v(dm)/(dt),["as dm "=rho A DL]` `F=sqrt2v((rho. AdL))/(dt),["as "dL//dt=v]` `F=sqrt2rhoA v^(2)`

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