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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def diam_swamee(FlowRate, HeadLossFric, Length, Nu, PipeRough):
 """Return the inner diameter of a pipe. The Swamee Jain equation is dimensionally correct and returns the inner diameter of a pipe given the flow rate and the head loss due to shear on the pipe walls. The Swamee Jain equation does NOT take minor losses into account. This equation ONLY applies to turbulent flow. """

    #Checking input validity
    ut.check_range([FlowRate, ">0", "Flow rate"], [Length, ">0", "Length"],
                   [HeadLossFric, ">0", "Headloss due to friction"],
                   [Nu, ">0", "Nu"], [PipeRough, "0-1", "Pipe roughness"])
    a = ((PipeRough ** 1.25)
         * ((Length * FlowRate**2)
            / (gravity.magnitude * HeadLossFric)
            )**4.75
         )
    b = (Nu * FlowRate**9.4
         * (Length / (gravity.magnitude *  HeadLossFric)) ** 5.2
         )
    return 0.66 * (a+b)**0.04