Question

A cylindrical can partly filled with water is rotated about its axis with constant angular velocity ω. show that the surface of the water assumes the shape of a paraboloid of revolution. (hint: the centripetal force acting on a particle of water of mass m at the free surface is mxω2 where x is its distance from the axis, and this is the resultant of the downward gravitational force mg and the normal reaction force r due to other nearby particles of water.)

Answer 1

Mathematics

A cylindrical can partly filled with water is rotated about its axis with constant angular velocity ω. ... (Hint: The centripetal force acting on ...