Please see attached file for full problem description.
1. The thickness h of a puddle of water on a waxy surface depends on the density ρ of the liquid, the surface tension γ (SI units: N/m) and another physically which is gravity, g. Use dimensional analysis to find a relationship between the thickness and the other 3 variables. (I.e make a proportionality relationship that make sense dimensionally) e.g,
h ∝ [a combination of the physically relevant parameters that has dimensions of length]
2. The Canadian Norman Wells Oil Pipeline extends from Norman Wells, Northwest Territories, to Zama, Alberta. The 8.68 x 10^5 m-long pipeline has an inside diameter of 12 in, and can be supplied with 35 L/s.
(a) What is the volume of oil in the pipeline if it is full at some instant in time?
(b) How long would it take to fill the pipeline with oil if it is initially empty?© BrainMass Inc. brainmass.com October 24, 2018, 11:38 pm ad1c9bdddf
The formula for the thickness of water puddle is derived using dimensional analysis is determined. The rate of volume flow through a pipeline is calculated.
Real Life Applications of Complex or Imaginary Numbers
When solving a quadratic equation using the quadratic formula, it is possible for the b2 - 4ac term inside the square root (the discriminant) to be negative, thus forcing us to take the square root of a negative number. The solutions to the equation will then be complex numbers (i.e., involve the imaginary unit i).
In the real world, where might these so-called imaginary numbers be used?
When using a formula, we often know the value of one variable to a greater degree of accuracy than we know the others. I need help to understand, what affect, if any, does it make on our use of a formula if we know the value of one variable to a greater degree of accuracy than another? Please assist.View Full Posting Details