The terminal velocity of a copper ball of rad | vedclass

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

Question

(A) According to Stokes' Law,the viscous drag force $F$ acting on a spherical object of radius $r$ moving with terminal velocity $v$ in a fluid of vis

Vedclass · Accepted Answer

$8.48 	imes 10^{-3}\,N$

Vedclass · Answer

(A) According to Stokes' Law,the viscous drag force $F$ acting on a spherical object of radius $r$ moving with terminal velocity $v$ in a fluid of viscosity $\eta$ is given by:$F = 6 \pi \eta r v$Given values:Radius $r = 5\,mm = 5 	imes 10^{-3}\,m$Velocity $v = 10\,cm\,s^{-1} = 10 	imes 10^{-2}\,m\,s^{-1} = 0.1\,m\,s^{-1}$Viscosity $\eta = 0.9\,kg\,m^{-1}s^{-1}$Substituting the values into the formula:$F = 6 	imes 3.14 	imes 0.9 	imes (5 	imes 10^{-3}) 	imes (0.1)$$F = 6 	imes 3.14 	imes 0.9 	imes 5 	imes 10^{-4}$$F = 84.78 	imes 10^{-4}\,N$$F = 8.478 	imes 10^{-3}\,N \approx 8.48 	imes 10^{-3}\,N$

The terminal velocity of a copper ball of radius $5\,mm$ falling through a tank of oil at room temperature is $10\,cm\,s^{-1}$. If the viscosity of oil at room temperature is $0.9\,kg\,m^{-1}s^{-1}$,the viscous drag force is:

Similar Questions

Find the viscosity of glycerine $($having density $1.3 \ g \ cm^{-3})$ if a steel ball of $2 \ mm$ radius $($density $8 \ g \ cm^{-3})$ acquires a terminal velocity of $4 \ cm \ s^{-1}$ in falling freely in the tank of glycerine. $(g = 980 \ cm \ s^{-2})$ (in $\text{poise}$)

Eight equal drops of water are falling through air with a steady speed of $10\,cm/s$. If the drops coalesce,the new velocity is $.........\,cm/s$.

$A$ metal sphere of radius $R$ and density $\rho_1$ is dropped in a liquid of density $\sigma$ and moves with terminal velocity $V$. Another metal sphere of the same radius and density $\rho_2$ is dropped in the same liquid. Its terminal velocity will be:

Two identical drops of water are falling through air with steady velocity $V$. If the two drops coalesce to form a single drop,what is the new terminal velocity of the single drop?

The velocity of a small spherical ball of mass $m$ and density $d_1$,when dropped in a container filled with glycerine,becomes constant after some time. The viscous force acting on the ball if the density of glycerine is $d_2$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module