Calculating the range of an animal based on its movement costs

AI Thread Summary
The discussion focuses on calculating the distance an animal can travel based on its basal metabolic rate and energy reserves. The total energy available is 7,800,000 Joules from 1.5 kg of food reserves with an energy density of 5.2 x 10^6 J/kg. The cost of movement is 45 Watts, which is equivalent to 45 Joules per second. The calculation to determine travel time is correct: dividing the total energy by the power gives approximately 173,333 seconds of travel time. Additionally, the cost of foraging over an 8-hour period, calculated as 45 Joules per second multiplied by 28,800 seconds, results in a total energy expenditure of 1,296,000 Joules, which is also confirmed as accurate. The calculations demonstrate a clear understanding of the relationship between Joules and Watts in determining energy expenditure and travel duration.
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Hi all,

So I'm looking at how far an animal can move based on its basal metabolic rate and cost of movement. The total cost of these two is 45 Watts.

It has 1.5 kg of food reserves with an energy density of 5.2 x 10^6 J per kg = 7800000 J of energetic reserves.

All I want to do is see how long it can travel based on these values but I'm getting my joules and watts mixed up.

Is it simply 7800000/45 = 173333.33 seconds? Because Watts are equivalent to Joules per second?

As ever your help is much appreciated.

Another thing is just to calculate the cost over its known foraging period which 8 hours so if the cost of existence while foraging is 45 Joules per second, then over 8 hours it will be 45 x 28800 = 1296000 Joules per 8 hours right?
 
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Because Watts are equivalent to Joules per second?
Right.
7800000J / (45W) = 173000s (rounded to a reasonable precision)

Another thing is just to calculate the cost over its known foraging period which 8 hours so if the cost of existence while foraging is 45 Joules per second, then over 8 hours it will be 45 x 28800 = 1296000 Joules per 8 hours right?
Looks good.
 
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