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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??

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??

Grade:11

1 Answers

Khimraj
3007 Points
6 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.
Hope it clears. If you like answer then please approve it.

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