G L Mittal and TARUN MITTAL Solutions for Chapter: Motion in Fluids : Viscosity, Exercise 2: NUMERICALS

What will be the terminal velocity of a steel ball of radius $2 mm$ in glycerine?

An iron ball of radius $0.3 cm$ falling through a column of oil of density $0.94 g c{m}^{-3}$ attains a terminal velocity of $0.5 cm{s}^{-1}$. What is the coefficient of viscosity of the oil? The density of iron is $7.8 g c{m}^{-3}$.

A steel shot of diameter $2 mm$ is dropped in a viscous liquid filled in a drum. Find the terminal speed of the shot. Density of the material of the shot is $8.0\times {10}^3 kg m^{-3}$, density of liquid is $1.0\times {10}^3 kg m^{-3}$. Coefficient of viscosity of liquid is $1.0 kg m^{-1}{s}^{-1}$.

If an oil drop of density $0.95\times {10}^3 kg m^{-3}$ and radius ${10}^{-4 }cm$ is falling in air whose density is $1.3 kg m^{-3}$ and coefficient of viscosity is $18\times {10}^{-6} kg{m}^{-1}{s}^{-1}$. Calculate the terminal speed of the drop.

The terminal velocity of a copper ball of radius $2.0 mm$ in falling through a tank of oil is $6.5 cm{s}^{-1}$. Find the viscosity of the oil. The densities of copper and oil are $8.9\times {10}^3 kg m^{-3}$ and $1.5\times {10}^3 kg m^{-3}$ respectively.

Two drops of equal radii are falling through air with a terminal velocity of $5 cm s^{-1}$. If they coalesce into one drop, what will be the terminal velocity of the new drop?

An air bubble (radius $0.4 mm$) rises up in water. Determine the terminal speed of the bubble. Density of air is negligible.

With what terminal velocity will an air bubble of diameter $0.8 mm$ rise in a liquid of density $900 kg m^{-3}$ and viscosity $0.15 Ns{m}^{-2}$? What will be the terminal velocity of the same bubble in water? Ignore density of air.