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A cylindrical tank is used to store petrol. The weight of the tank W is 6 0 0 0 kN . When subjected to an

A cylindrical tank is used to store petrol. The weight of the tank W is 6000 kN. When subjected to an earthquake the horizontal inertial force (H) produced by the earthquake may be calculated as follows: H = W / g . awhere g is the gravitational acceleration constant equal to g=9.81 m/s2 and a is the maximum horizontal acceleration of the earthquake ground motion. During an earthquake the frictional force (F) at the base of the tank keeps it from sliding. The coefficient of friction between the tank and the base support is normally distributed with a mean of 0.6 and a coefficient of variation of 0.05. Assume the coefficient of friction and horizontal ground acceleration are statistically independent. During an earthquake the maximum horizontal ground acceleration is also a random variable.The program calculates the maximum horizontal acceleration by sampling values between 0g and 1.6g from a uniform distribution.ORIGINAL CODE:# In this simulation the library numpy is used and it is named it "np"# We will also use the math library and we will name it mathimport numpy as npimport math as math# The seed below initializes the random generator to always obtain the same result.# DO NOT CHANGE THIS VALUE AND RERUN THIS CELL EVERYTIME YOU RUN THE PROGRAM.np.random.seed(3500)# Variables are defined in this cellW =6000 # Weight of the Tank in kNg =9.81 # Gravitational constantmeanCoF =0.6 # Mean of the coefficient of frictionstdCoF =0.05*0.6 # Standard deviation of the coefficient of frictionCoF =[] # Empty list to store coefficients of frictionAcc =[] # Empty list to store accelerationH =[] # Empty list to store earthquake forceF =[] # Empty list to store resitance forcenSlide =0 # Counter of failurespSlide =0 # Probability of failure# Monte Carlo simulationnsim =1000000 # Number of simulationfor i in range(nsim):# Calculate earthquake forcesAcc.append(1.6* np.random.random()* g)H.append(W * Acc[i]/ g)# Calculate tank resistance force F = CoF * WCoF.append(np.random.normal(meanCoF, stdCoF))F.append(W * CoF[i])# Check for failureif H[i]> F[i]:nSlide = nSlide +1# Calculate the probability of the tank sliding during an earthquakepSlide = nSlide / nsimprint("The probability of the tank sliding during an Earthquake is ", pSlide). Determine the value of C. Provide your order as in terms of 1/g. Round to 2 decimal places.
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