The critical velocity (v) depends on
1)coefficient of viscosity
2)density of liquid
3)radius
derive an expression of velocity
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Let us dimension analysis.
Critical Velocity = Vc = K * coeff of viscocity^a * density^b * radius^c
L T^-1 = K * (M L^-1 T^-1)^a * (M L^-3)^b * L^c
= K * M^(a+b) L^(-a-3b+c) T^-c
So a+b =0 a = -b -a -3b +c = 1 a = 1 So b = -1 c = -1
Vc = K . (coeff of visocity) / (density * radius)
Critical Velocity = Vc = K * coeff of viscocity^a * density^b * radius^c
L T^-1 = K * (M L^-1 T^-1)^a * (M L^-3)^b * L^c
= K * M^(a+b) L^(-a-3b+c) T^-c
So a+b =0 a = -b -a -3b +c = 1 a = 1 So b = -1 c = -1
Vc = K . (coeff of visocity) / (density * radius)
poojapkumar58:
it truly depends on the density.the qus.wants the expression of velocity
connection is getting cut in between while i m answering
plz complete the answer sir
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