Garden Sprinkler Mathematical Modelling (Trigonometric Substitutions)?
There are various types of garden sprinkler systems on the market. In our
analysis here we will consider a very basic design, a cylinder with holes
made for water. The cylinder (of negligible size) distributes water to our
rectangular lawn by rotating around its axis at a constant frequency. The
cylinder rotates so that the maximal water angle is 45◦. The angle θ = 0
corresponds to a vertical ...
There are various types of garden sprinkler systems on the market. In our
analysis here we will consider a very basic design, a cylinder with holes
made for water. The cylinder (of negligible size) distributes water to our
rectangular lawn by rotating around its axis at a constant frequency. The
cylinder rotates so that the maximal water angle is 45◦. The angle θ = 0
corresponds to a vertical ...
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