Mathematics, 27.08.2019 01:30 corbin3582

Consider the expression $2 \pi \sqrt{\frac{l}{g}}$ .
where ℓ is length and g is gravitational acceleration in units of length divided by time squared.
evaluate its units.
1. s²
2. $(\frac{s}{m})^2$
3. $(\frac{m}{s})^2$
4. $\frac{m}{s}$
5. s
6. m²
7. m
8. $\frac{s}{m}$

Answers: 3

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Answer from: payshencec21

Step-by-step explanation:

lets start from the expression $2\pi \sqrt{\frac{l}{g} }$ , first remember that $2\pi$ is a constant with no units, so we do not need to consider it for this problem, so lets just think about $\frac{l}{g}$

Next lets replace the units, l is the length which is represented in metters by international units system

g is the gravitational constants, so the units are lengt divided by time squared, since time is in seconds we have $\frac{m}{s^{2} }$

so pluging that into our formula we have $\sqrt{\frac{m}{\frac{m}{s^{2} } } }$

Now see we are dividing by a fraction, remember that to divide by a fraction is the same as to multiply by the reciprocal fraction, so we just flip the fraction and we get $\sqrt{m*\frac{s^{2} }{m} }$

then if we perform the multiplication we have inside the radical we get $\sqrt{\frac{m*s^{2} }{m} }$

Then since we are multiplying and dividing by m, the m's just cancel and we have $\sqrt{s^{2} }$

Now remember that square and square root are inverse operations, so they cancel each other and we are left with just , which means seconds, so the answer would be option 5

hope that helps, good bye :)

Answer from: Quest

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200. after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes 1800 - 6400 which gets you 11,600.

Answer from: Quest

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

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Consider the expression [tex]2 \pi \sqrt{\frac{l}{g}}[/tex].
where ℓ is length and g is gravi...

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