Tutorial Physical Quantities
Tutorial Physical Quantities
Tutorial Physical Quantities
1. After being deformed and then let free, a drop of liquid vibrate with a frequency which
appears to depend on the surface tension of drop, the density ρ of the liquid and radius
r of the drop. By means of dimensions, derive an expression for the frequency of
vibration.
2. . (a) Distinguish between a fundamental physical quantity and derived physical quantity?
=k( )
(c) A wave is produced in taut wire by plucking it, the speed of the wave is said to be
dependent on tension T of the wire, the mass M and length L. Using this information
derive an empirical equation for the speed of the wave in wire.
4. A ball bearing of radius r is released from the surface of the viscous liquid of viscosity
constant η in a tall tube. The bearing attains maximum velocity v as it falls through the
liquid. Given the friction force opposing the motion of the ball as;
F=k
(b)The volume of the fluid flowing through a narrow tube per unit time depends on
pressure gradient , viscosity constant η of the fluid and radius r of the tube. Obtain the
expression for time rate of flow Q.
T=k
Where k, m, l and g constant, mass of the bob, length of the thread, and acceleration due
to gravity in the same order, Find the numerical values of x, y, and z. Give your comment
on the expression.
(b)A force experienced by an object moving in a circle depends on mass m of the object,
the velocity v at which it moves and radius r of the circle it describes. By using
dimension obtain the expression for the force.