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(The barrel is made deep enough so that we don't have to worry about water overflowing the rim.) Henry Morris argued that if we started filling up our empty barrel it would take 30,000 years to reach the equilibrium point.
Thus, he concluded, if our Earth were older than 30,000 years the incoming water should just equal the water leaking out.
This argument was popularized by Henry Morris (1974, p.164), who used some calculations done in 1968 by Melvin Cook to get the 10,000-year figure. Whitelaw, using a greater ratio of carbon-14 production to decay, concluded that only 5000 years passed since carbon-14 started forming in the atmosphere!
This swimmer is competing in a 1,500 metre race and we have an accurate, calibrated wristwatch.The barrel represents the earth's atmosphere in which the carbon-14 accumulates.The water leaking out the sides of the barrel represents the loss (mainly by radioactive decay) of the atmosphere's supply of carbon-14.We say that the input and output of water is in equilibrium.The water level just sits there even though the hose is going full blast.
This nullifies the carbon-14 method as well as demonstrating that the earth is less than 10,000 years old. One suspects that the scientific world would not be using the carbon-14 method if it were so obviously flawed.