Q: How many carrots would a person have to eat to die from a vitamin A overdose?
A: An acute overdose of vitamin A occurs when a person has 25,000 IU/kg of vitamin A.
1. One IU of vitamin A is equal to 0.6 micrograms of beta-carotene, the pigment that is responsible for carrots orange color.
2. One carrot that weighs 0.3528 Newtons has 108% of a person’s daily needs of vitamin A.
0.3528 N/(9.8 m/s^2) = 0.036 kilograms
0.036 kilograms = 36 grams.
108% * 0.6μg = .648μg
.648μg = 0.000000648g
One 36-gram carrot contains .648μg of vitamin A
3. The ratio of grams of vitamin A to kilograms of human is 25000*0.6μg/kg
25000*0.6μg/kg = 15000 μg/kg
4. The number of carrots required to equal the ratio of grams of vitamin A to kilograms of human is 0.000000648g/0.015 (g/kg). Let us assume the human in question is 61.25 kilograms.
0.000000648g/0.015 (g/kg) = 23148/kg
61.25*23148 = 1417815 carrots
1417815 carrots*.036kg = 51041 kg of carrots
That many carrots would have 19400000 calories.
It is safe no say that no one has ever died of vitamin A overdose via carrots nor will anyone ever will.