if it takes 2 days to defrost a 6kg turkey, how many does it take to defrost s 2,000 kg elephant?

Answer 1

Hint - - the mass of an object is roughly proportional to its volume (the cube of the size dimension). The rate at which heat will enter the object is roughly proportional to its surface area (the square of the size dimension). So the time to melt something is roughly proportional to the size dimension to the first power (d^3 / d^2).

Answer 2

I would agree with Dr L and say a fortnight ( or 2 weeks if your are american)

Assuming that the basic materials are the same here are the maths (or "is the math" for our US chums) . Approximate each creature to s sphere

to defrost a 'shell' thickness dr at a radius r will take a time = kxV / A .

k is a constant dependant on the material surface temp & other stuff,
A the surface area, =2*pi*R*R
x the distance to the surface = R-r
V is the volume of the shell = 2*pi*r*r*dr
R = radius

t=k (R-r) (r^2/R^2)*dr (^ = raised to the power of)
= k * (Rr^2-r^3)/R^2 *dr

integrate over the whole body

= k *(R^3/2 - R^3/3)/R^2
=k * R/2 -R/3 a bazaarly simple formulae.

= K*R where K is a new constant absorbing the 1/2-1/3

R^3 is proportional to mass, so t is proportional to the square root of Mass

so to get the elephant time multiply your 2 days by the cube route of the ratio of the masses =

=2 days * cube route of (2000/6) = 14 days near enough

QED

spol chikker stil not wukkin

Answer 3

The rate of heat flow goes as the surface area L^2, where L is the length scale, and the required heat goes as the mass (L^3), so defrost time goes in proportion to L=L^3/L^2. (2000/6)^(1/3) is about 7, so the the elephant L is about 7 times more. So, it'll take 2X7 days. Two weeks. Note, though, that that is long enough for the outer layers (which defrost first) to rot before the core thaws

Answer 4

Mathematically speaking is would take 666.6 days to defrost the elephant but my guess is the elephant is far more fatty than the turkey and would thus defrost a more accelerated rate although I have no scientific evidence to support this claim.

Answer 5

This would not be a simple proportion because the2000 kg elephant is not in the same shape as 333 turkeys. The frozen center is farther away from the air than the center of the turkey.

Answer 6

u must have a big freezer...

i think it really depends on the thickness and density of the material being defrosted. the greater the surface area, the better it will be to absorb heat from the surroundings and defrost

Answer 7

it would take 667 days to defrost 2000kg of elephants. try ratio and proportion where it takes 2 days to defrost 6kg then it would take 'x'(unknown) of days to defrost the 2000kg

Answer 8

perhaps the outside may go off before the inside has defrosted

Answer 9

5 months, 15 days, 16 hours, 4 minutes and 48 seconds

approximately...

hehehe

Answer 10

Don't be silly : how would you get an Elephant in the freezer to start with!

M : )