First slide

Viscosity

Question

A metal block of base area $0.2 m^{2}$ is connected to a 0.02 kg mass via a string that passes over an ideal pulley as shown in figure. A liquid film of thickness 0.6 mm is placed between the block and the table. When released the block moves to the right with a constant speed of 0.17 m/s. The co-efficient of viscosity of the liquid is :

Moderate

Solution

$\begin{array}{l} T = F_{V} \\ m g = η A \frac{d V}{d x} \\ 0 .02 \times 9 .8 = η 0 .2 \times \frac{0 .17 - 0}{0 .6 \times 10^{- 3}} \\ η = 3 .45 \times 10^{- 3} P a - S \end{array}$

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