Mechanical Properties of Fluids
An air bubble of radius 5mm rises through a vat of syrup at a speed of 4mm/s. If the syrup has density of 1.4×103kg/m3, what is its viscosity?
The velocity of water in a river is 18kmph near the surface. If the river is 4m deep, the shearing stress between horizontal layers of water in Nm−2 is (ηwater=1×10−3pa.s):
If the terminal speed of a sphere of gold (density =19.5kg/m3) is 0.2m/s in a viscous liquid (density =1.5kg/m3), find the terminal speed of a sphere of silver (density =10.5kg/m3) of the same size in the same liquid.
In Millikan oil drop experiment a charged drop falls with a terminal velocity V. If an electric field E is applied vertically upwards it moves with terminal velocity 2V in upward direction. If electric field reduces to E/2 then its terminal velocity will be-
Two hail stones iron the form of a sphere with radii in the ratio 1:2, fall from a great height through the atmosphere. What will be the ratio of their momenta when they attain their respective terminal velocities?
A rain drop of radius 1.5 mm, experiences a drag force F= (2×10−5v)N, while falling through air from a height 2 km, with a velocity v. The terminal velocity of the rain drop will be nearly (use g=10m/s2)
A powder comprising particles of various sizes is stirred up in a vessel filled to a height of 10 cm with water. Assuming the particles to be spherical, find the size of the largest particle that will remain in suspension after 1 h (density of powder = 4 g/cm3, viscosity of water = 0.01 poise).