A powder comprising particle of various sizes is stirred up in a vessel filled to a height of `10 cm` with water. Assuming the paticle to be spherical, find the size of the largest particle that will remain in suspension after `1h` (density of powder `=4g//cm^(3)`, viscosity of water `=0.01`poise).
Text Solution
Verified by Experts
Terminal velocity of the largest particle which is just about to settle at the bottom of the vessel is `v_(t)=(10xx10^(-2))/3600m//s` Let `r` be the radius of that particle. Then `v_(t)=2/9r^(2)((sigma-rho))/etag` where `sigma=4xx10^(3)kg//m^(3)` and `eta=0.01//10Ns//m^(3)` After solving we get `r=2.0xx10^(-6)m`
Fine particles of sand are shaken up in water contained in a tell cylinder. If the depta of water in the cylinder is 24 cm, calculate the size of the largest particle of sand that can remain suspended after the expiry of 40 minutes. Given density of sand = 2.6 g cm^(-3) and viscosity of water = 0.01 poise. Assume that all the particles are spherical and are of different sizes.
Spherical particles of pollen are shaken up in water and allowed to settle. The depth of water is 2xx10^(-2)m . What is the diameter of the largest particles remaining in suspension one hour later? Density of pollen =1.8xx10^(3)kgm^(-3) viscosity of water =1xx10^(-2) poise and density of water =1xx10^(-5)kgm^(-3)
The velocity of water in a river is 72 km h^(-1) near the surface. If the river is 4 m deep, find the shearing stress between horizontal layers of water. Coefficient of viscosity of water = 0.01 poise.
Calculate (a) the actual volume of a molecule of water (b) the radius of a water molecule assuming to be spherical (density of water = 1 g cm"^(-3) )
The base of a ractangular vessel is 10 cm xx 15 cm . It is taken at a depth of 4 m into the water. What is the pressure and thrust on the base of the vessel? Take g = 10ms^(-2) . Density of water = 10^(3) kg m^(-3) .
A wooden sphere of radius 1.0 cm sinks in water. On coating it with a layer of wax of uniform thickness 3 mm , it just floats. What is the density of wood ? Density of wax = 0.8 g//cm^3 .
If a drop of water of radius 0.1 cm is broken up into a million droplets all of the same size , then the energy expended in the process will be
CENGAGE PHYSICS-PROPERTIES OF SOLIDS AND FLUIDS-INTEGER_TYPE
