$1\mathrm{.}10$

Problems.

Convert a force of $17$ dynes to Newton, poundals and lbf$.$

$2$ A gas whose molecular weight is $28$ is kept under a pressure of $200k\frac{N}{m^2}$ and a temperature of $60C.$ Calculate the density of the gas.

$3$ The viscosity of an organic liquid is $15cP.$ Calculate the corresponding values on the fps and SI system.

$4$ Two plates with area $10m^2$ are $2mm$ apart. The lower plate is fixed while the upper plate is moved at a constant velocity of $1\frac{m}{s}$ by a force of $50N.$ Determine the viscosity of the liquid between the plates.

$5$ A bubble of a liquid whose surface tension is $0\mathrm{.}0289\frac{N}{m}$ has a radius of $1mm.$ Calculate the pressure within the bubble if the atmospheric pressure is $101k\frac{N}{m^2}.$

$6$ Two glass tubes diameter $2$ and $4mm$ respectively, are attached to the side of a water tank to measure the level inside the tank, $)=(0\mathrm{.}074\frac{N}{m}.$ Use this information to express the capillary rise in the tube in the form $h=mr+c$ where $m$ and $c$ are constants and $r$ is the tube radius and hence determine the ideal tube diameter.