Mechanical Properties of Fluids
Find ratio of terminal velocity.
A particle of mass 1 kg is fired with velocity 50 m/s at an angle of 60o from horizontal. It is acted by viscous force of 0.2 v during its journey. The horizontal distance travelled by it in first 10 seconds is:-
A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid is rises at the sides. If the radius of the vessel is r and the speed of revolution is n rotations/second, find the difference in height of the liquid at the centre of vessel and its sides.
A metal ball of radius 'r' and density 'd' travels with a terminal 'v' in a liquid of density d/4. The terminal velocity of another ball of radius '2r' and density '3d' in the same liquid is
Consider a thin square plate floating on a viscous liquid in a large tank. The height h of the liquid in the tank is much less than the width of the tank. The floating plate is pulled horizontally with a constant velocity u0. Which of the following statements is (are) true?
Spherical balls of radius R are failing in a viscous fluid of viscosity η with a velocity v. The retarding viscous force acting on the spherical ball is
The motion of a body is given by the equation dtdv=6−3v:where v is in m/s. If the body was at rest at t=0
(i) the terminal speed is 2 m/s
(ii) the magnitude of the initial acceleration is 6 m/s
(iii) the speed varies with time as v=2(1−e−3t)m/s
(iv) The speed is 1 m/s, when the acceleration is half the initial
Two flat plates are separated by a layer of 4mm thick liquid. The upper plate is moved by force of 400 dynes with a velocity of 10 cm/s. If the area of the upper plate is 5cm2, the coefficient of viscosity of the liquid is: