I'm trying to replicate an equation from a paper (linked below but behind a paywall). The equation states that:
$\huge P = \frac{2em}{T+\frac{2r}{V}}$
where:
- e = 4.33 megajoules per kg
- m = 0.008 kg
- T = 24 hours
- r = 212 km
- V = 4.9 metres per second
P should equal .401 Watts in this case but I must be messing up my unit conversions because I can't get that. Hope you can help.
Scaling of Foraging Radius and Growth Rate in Petrels and Albatrosses (Procellariiformes) https://www.jstor.org/stable/3675955
You should try to transform all the units into $J,s,g,m$, so $$e=4330J/g$$ $$m = 8g$$ $$T=24h=86400s$$$$r=212000m$$ $$V=4.9m/s$$ Hence, $$P=\frac{2em}{T+\frac{2r}{V}}=\frac{2\cdot4330\cdot8}{86400+\frac{2\cdot 212000}{4.9}}=0.401 W$$