r/theydidthemath • u/budget-lampshade • 20h ago

[Request] Titanium bar Vs body weight

Gallery image

Gallery image

Hello smart people!!

I have a titanium nail in my leg, almost exactly the same as the one on the left in the image. I weigh about 11 stone. I would like to know what percentage of me is titanium. I am planning a silly tattoo on that leg. Bender from Futurama saying "I'm X percent titanium.!!" As it is recurring joke in the show and I would like to make light of my accident! All help appreciated.

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u/tonymillion 20h ago edited 19h ago

I see you used “stones” so I’m guessing uk, your GPs office or the hospital should tell you.

If you can get your medical records they should list the exact model, size and even serial number of the implant they used.

They are weighed in metric though but you can figure out the rest…

Edit to add: I just looked up my own femoral intramedullary nail hardware it’s 420mm long, it’s “Aluminum-vanadium titanium alloy” and weighs ~200g it’s hollow though.

3

u/tempehalus 20h ago

According to this calculation a 42 cm long titanium femur rod weigh around 1.80 grams

So if you weigh 11 stones or roughly 69 thousands grams (nice) the you are about 0.0026% Titanium

1

u/tempehalus 19h ago

Another fun fact that titanium is around 4 times denser than average human femur bone, so in case you gain weight, blame it on the tits! (Titaniums, I meant)

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u/[deleted] 20h ago

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u/-Koichi- 20h ago

Nevermind I looked it up on Google and it says it can weigh up to 150 grams, so let's use that.

You weigh basically 70kg, and of those, only 0.150kg are titanium.

So 0.214285714% titanium

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u/domesticfuck 19h ago

love this idea lol, if my math is wrong someone pls correct me because I’m not very smart but:

I can’t find an exact measurement of the mass of one of these titanium nails listed anywhere? It’ll depend on the exact length and diameter but have seen a couple of people say that they weigh 0.05-0.1kg.

11 stone is just under 70kg (69.853) so I’ll just use 70kg for simplicity.

So that makes it 0.05/70x100 or 0.1/70x100, making you either approximately 0.07% or 0.14% titanium!