Ed and his friends Edd and Eddy are building a launcher to throw metal slugs up into the air. A 1.35 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger and comes to rest some distance above the plunger. The plastic tube has an inner radius of 2.00 cm and is frictionless. Neither the plunger nor the metal cylinder allows any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 1.25, what is the initial acceleration of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm.
Viscosity
The measure of the resistance of a fluid to flow is known as viscosity. Most fluids have some resistance to motion, the resistance provided by the fluid is called viscosity. This resistance is created by the force of attraction between the fluid molecules. If you pour water through a funnel, it flows easily and quickly, because it has very little resistance. But if you pour honey through a funnel, it may take a little time longer, as the density of honey is high.
Poiseuille's Law
The law of Poiseuille or Poiseuille's equation states that the pressure drop of an incompressible fluid especially a liquid in a laminar flow that passes through a cylindrical tube of length L, radius r, pressure gradient ΔP, and mainly depends on the viscosity of the fluid is nothing but the pressure difference of the layers of fluids. ΔP=P1-P2
Drag Forces
Forces that occur due to the movement of fluid are known as fluid mechanics. Following are the fluids present:
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