$A$ space $2.5\ cm$ wide between two large plane surfaces is filled with oil. The force required to drag a very thin plate of area $0.5\ m^2$ just midway between the surfaces at a speed of $0.5\ m/s$ is $1\ N$. The coefficient of viscosity in $kg/(m \cdot s)$ is:

Discuss the coefficient of viscosity in terms of stress and strain.

The velocity of water in a river is $18\, km/h$ near the surface. If the river is $5\, m$ deep,find the shearing stress between the horizontal layers of water. The coefficient of viscosity of water is $\eta = 10^{-2}\, \text{poise}$.

Is viscosity a vector or a scalar?

$A$ 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 the 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 coefficient of viscosity of the liquid is:

The velocity of the upper layer of water in a river is $36 \, km/h$. The shearing stress between horizontal layers of water is $10^{-3} \, N/m^2$. The depth of the river is $h$. (The coefficient of viscosity of water is $10^{-2} \, Pa \cdot s$). Find the value of $h$ in meters.