Question

Part A only please.

Problem 2 a) If we simplistically assume that the chemical spill's shape is a cylinder, write a function that calculates the volume of the spill (Hint: assume that the cumulative maxima of the coordinates define the edges of the spill for each time step). b) Assume that 25 kg spilled over 30 minutes at a constant rate, calculate the material concentration over 46 hours for a water depth of 18 m, a mixing coefficient of 1.15 mʻls, and wind speeds of 4.5 m/s. Use matplotlib to plot the time series of conentration after the first half hour. c) At what time in hours) would the safe concentration of 0.01 g/L be reached after the first half hour? # YOUR CODE HERE raise Not ImplementedError() np. random.seed (0) X, Y, Z = diffusion (46*3600, 1.0, 0.75, 5.0, 5.0, 20.0) assert_almost_equal(volume (x, y, z) (-1), 20772.44393423465) ]: # YOUR CODE HERE raise Not ImplementedError() # Answer (c) here # BEGIN CODE C = m(1800:] / v[1800:] np. where(c < 0.01) [8] .min01 3600 # END CODE

Answer 1

Ans 2a) Algorithm for calcaulating the volume of the spill

A) Initialise the volume of spill to 0.

B) For each time time stamp do the steps 1-5

1. Input the two extreme points of the base of the spill(x1,y1) and (x2 y2) such that the line connecting this 2 points passes through the centre of the radius.

2. Input coordinate (x3,y3) of a point on the top of the cylindrical spill vertically above the point (x2,y2)

3. now radius =(distance b/w points (x1,y1) and (x2,y2))

radius =

4. height = distance between (x2,y2) and (x3,y3) = y3-y2.

5. volume of spill =volume of spill + (22/7.0)*radius*radius*height

C) Print the volume of spill