A metal cube of side 10 ,cm rests on a film o | vedclass

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

Question

$(A)$ Given:Side of the cube, $L = 10 \,cm = 0.1 \,m$.Area of the base, $A = L^2 = (0.1 \,m)^2 = 0.01 \,m^2$.Thickness of the liquid film, $dx = 0.2 \

Vedclass · Accepted Answer

$2.5 	imes 10^{-2} \frac{Ns}{m^2}$

Vedclass · Answer

$(A)$ Given:Side of the cube, $L = 10 \,cm = 0.1 \,m$.Area of the base, $A = L^2 = (0.1 \,m)^2 = 0.01 \,m^2$.Thickness of the liquid film, $dx = 0.2 \,mm = 0.2 	imes 10^{-3} \,m$.Applied force, $F = 0.1 \,N$.Constant velocity, $v = 0.08 \,m/s$.Since the cube moves with a constant speed, the net force is zero, meaning the applied force equals the viscous drag force: $F = F_{drag}$.According to Newton's law of viscosity, $F = \eta A \frac{dv}{dx}$.Substituting the values: $0.1 = \eta 	imes 0.01 	imes \frac{0.08}{0.2 	imes 10^{-3}}$.$0.1 = \eta 	imes 0.01 	imes 400$.$0.1 = \eta 	imes 4$.$\eta = \frac{0.1}{4} = 0.025 \,Ns/m^2 = 2.5 	imes 10^{-2} \,Ns/m^2$.

$A$ metal cube of side $10 \,cm$ rests on a film of a liquid of thickness $0.2 \,mm$. If upon applying a horizontal force $\overrightarrow{F}$ of magnitude $0.1 \,N$ the cube slides with a constant speed of $0.08 \,m/s$, then the coefficient of viscosity is

Similar Questions

$A$ square plate of $0.1 \; m$ side moves parallel to a second plate with a velocity of $0.1 \; m/s$, both plates being immersed in water. If the viscous force is $0.002 \; N$ and the coefficient of viscosity is $0.01 \; \text{poise}$, the distance between the plates in $m$ is:

There is a $1$ $mm$ thick layer of glycerine between a flat plate of area $100$ $cm^2$ and a big fixed plate. If the coefficient of viscosity of glycerine is $1.0$ $kg/(m \cdot s)$,then what force in $N$ is required to move the plate with a velocity of $7$ $cm/s$?

$A$ plastic circular disc of radius $R$ is placed on a thin oil film,spread over a flat horizontal surface. The torque required to spin the disc about its central vertical axis with a constant angular velocity is proportional to

$Assertion :$ Machine parts are jammed in winter.
$Reason :$ The viscosity of lubricant used in machine parts increases at low temperatures.

Vedclass Test Series

Exam Paper Generator

Online Exam Module