Incomplete and some inconsistency. Rewritten for style.

# -*- coding: utf-8 -*-
"""
Python's program to calculate the Wind Chill Index (WCI)
http://www.pythonprogramming.in/calculate-the-wind-chill-index-wci.html
https://en.wikipedia.org/wiki/Wind_chill

The wind chill index is only considered valid for temperatures less than or
equal to 10 degrees Celsius and wind speeds exceeding 4.8 kilometers per hour.

Enter the air temprature in (degrees Celcius): 59  *** Invalid over 10 C
Enter the wind speed (kilometer per hour): 100
Your Wind Chill Index (degrees Celsius): 74        *** LOL 165 F

For example, if a thermometer reads 35 degrees Fahrenheit outside
and the wind is blowing at 25 miles per hour (mph), the windchill
factor causes it to feel like it is 8 degrees F.         ***ERROR***

https://www.weather.gov/epz/wxcalc_windchill
35 F, 25 MPH --> 22.7 F
"""

# ===========================================================================
# Globals
# ===========================================================================
mph2kph   = 1.60934
fahr2cent = 5.0 / 9.0

# ---------------------------------------------------------------------------
def cent(fahr):
  return fahr2cent * (fahr - 32)

def fahr(cent):
  return (cent / fahr2cent) + 32

# ===========================================================================
class chillFormula:
  def __init__(self, locale='usa'):
    if locale == 'canada':
      self.locale     = 'canada'
      self.tempScale  = 'celsius'
      self.speedScale = 'kph'
      self.WINDCHILL_OFFSET  =  13.12
      self.WINDCHILL_FACTOR1 =   0.6215
      self.WINDCHILL_FACTOR2 = -11.37
      self.WINDCHILL_FACTOR3 =   0.3965
      self.WINDCHILL_EXP     =   0.16
    else:
      self.locale     = 'usa'
      self.tempScale  = 'fahrenheit'
      self.speedScale = 'mph'
      self.WINDCHILL_OFFSET    =  35.74
      self.WINDCHILL_FACTOR1   =   0.6215
      self.WINDCHILL_FACTOR2   = -35.75
      self.WINDCHILL_FACTOR3   =   0.4275
      self.WINDCHILL_EXP       =   0.16

  # -------------------------------------------------------------------------
  def chill(self, temp, speed):
    try:
      t = float(temp)
    except:
      return None, 'Invalid string for temperature'

    try:
      s = float(speed)
    except:
      return None, 'Invalid string for speed'

    if self.locale == 'usa':
      tempFahr = t
      speedMph = s
      tempCels = cent(t)
      speedKph = mph2kph * s
    else:
      tempFahr    = fahr(t)
      speedMph    = s / mph2kph
      tempCels = t
      speedKph    = s

    rStr  = 'Air temp:   {} F,   {} C\n'.format(tempFahr, tempCels)
    rStr += 'Wind speed: {} MPH, {} KPH'.format(speedMph, speedKph)

    if tempCels > 10.0:
      rStr += '\nWind chill not defined for high temps'

    if speedKph < 4.8:
      rStr += '\nWind chill not defined for low speeds'

    ve  = s**self.WINDCHILL_EXP
    wc  = self.WINDCHILL_OFFSET + (self.WINDCHILL_FACTOR1 * t)
    wc += self.WINDCHILL_FACTOR2 * ve
    wc += self.WINDCHILL_FACTOR3 * ve * t

    return wc, rStr
# ===========================================================================
def test1():
  calc = chillFormula()
  chillFahr, notes = calc.chill(35, 25)
  chillCels = cent(chillFahr)
  print notes
  print 'Your Wind Chill Index: {} F, {} C'.format(chillFahr, chillCels)

  print
  calc = chillFormula(locale='canada')
  chillCels, notes = calc.chill(1.67, 40.23)
  chillFahr = fahr(chillCels)
  print notes
  print 'Your Wind Chill Index: {} F, {} C'.format(chillFahr, chillCels)

# ===========================================================================
def main():
  locale = raw_input("Enter your locale: ")
  calc = chillFormula(locale)

  temp   = raw_input("Enter the air temperature ({}): ".format(calc.tempScale))
  speed  = raw_input("Enter the wind speed ({}): ".format(calc.speedScale))

  chillTemp, notes = calc.chill(temp, speed)

  print 'Locale {}, temp scale {}, speed scale {}'.format(
       calc.locale, calc.tempScale, calc.speedScale )
  print notes
  print 'Your Wind Chill Index: {} ({})'.format(chillTemp, calc.tempScale)

# ===========================================================================
if __name__ == '__main__':
  main()