A Newtonian fluid fills the clearance between | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) According to Newton's law of viscosity,the shear stress $	au$ is proportional to the velocity gradient $\frac{du}{dy}$.$	au = \mu \frac{du}{dy}$

Vedclass · Accepted Answer

$4.5$

Vedclass · Answer

(C) According to Newton's law of viscosity,the shear stress $	au$ is proportional to the velocity gradient $\frac{du}{dy}$.$	au = \mu \frac{du}{dy}$Since $	au = \frac{F}{A}$,where $F$ is the applied force and $A$ is the surface area,we have $\frac{F}{A} = \mu \frac{u}{y}$.This implies $F = \left( \frac{A \mu}{y} ight) u$,which means $F \propto u$.Therefore,$\frac{F_1}{u_1} = \frac{F_2}{u_2}$.Given $F_1 = 800$ $N$,$u_1 = 1.5$ $cm/s$,and $F_2 = 2.4$ $kN = 2400$ $N$.Substituting these values: $\frac{800}{1.5} = \frac{2400}{u_2}$.Solving for $u_2$: $u_2 = \frac{2400 	imes 1.5}{800} = 3 	imes 1.5 = 4.5$ $cm/s$.

$A$ Newtonian fluid fills the clearance between a shaft and a sleeve. When a force of $800$ $N$ is applied to the shaft,parallel to the sleeve,the shaft attains a speed of $1.5$ $cm/s$. If a force of $2.4$ $kN$ is applied instead,the shaft would move with a speed of ......... $cm/s$.

Similar Questions

The coefficient of viscosity for hot air is

Write one practical use of viscosity.

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 $\eta = 10^{-2}\, \text{poise}$.

Water is flowing steadily in a river. $A$ and $B$ are two layers of water at heights $40 \ cm$ and $90 \ cm$ from the bottom. The velocity of layer $A$ is $12 \ cm/s$. If the velocity of the water at the bottom is $0$,what is the velocity of layer $B$ (in $cm/s$)?

In a laminar flow,the velocity of the liquid in contact with the walls of the tube is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module