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Grade 11Mechanics

For spherical mass m falling in liquid a force continuously acts upon it which tries to impede its motion the force is known as viscous force this force is seen to depend upon velocity of falling object coefficient of viscosity of liquid radius of spherical mass. By using dimensions derive relation for viscous force??

Profile image of Syed Mavra
8 Years agoGrade 11
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1 Answer

Profile image of Khimraj
8 Years ago
Let the velocity of spherical mass is v, coefficient of viscosity of liquid is η and radius of spherical mass is R and k is unitless constant.
Unit of force = N
v = m/s
η = Ns/m2
R = m.
So N = (unitless constant)*(Ns/m2)*(m)*(m/s)
So Viscous Force = kηRv.
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