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Marina86
1 month ago
9

The water pressure on Mustafa as he dives is increasing at a rate of 0.9920.9920, point, 992 atmospheres (\text{atm})(atm)left p

arenthesis, a, t, m, right parenthesis per meter (\text{m})(m)left parenthesis, m, right parenthesis . What is the rate of increase in water pressure in \dfrac{\text{atm}}{\text{km}} ​km ​ ​atm ​​ start fraction, a, t, m, divided by, k, m, end fraction?
Mathematics
2 answers:
babunello [11.8K]1 month ago
8 0
This issue involves a basic dimensional analysis. We are required to express the rate of 0.992 atm/m in the unit of atm/km.

In straightforward terms, dimensional analysis means converting a measurement into a different unit using conversion factors.

For this case, the necessary steps are:

\frac{0.992 atm}{m}= \frac{1000m}{1km} = \frac{992atm}{km}

We observe that 1000 meters = 1 kilometer was used as the conversion factor to change atm/m into atm/km. Consequently, we conclude with the answer 992 atm/km.
zzz [12.3K]1 month ago
8 0

To simplify the response, it is 992 atm/km.

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