Phoebe
2020-12-31
If a cylindrical tank holds 100,000 gallons of water, whichcan be drained from the bottom of the tank in an hour, thenTorricelli's Law gives the volume V of water remaining inthe tank after t minutes as:
for: 0 is less than or equal to t which is less than or equal to 60
Find the rate at which the water is flowing out of the tank(the instantaneous rate of change of V with respect tot) as a function of t. What are its units? Fortimes t=0, 10, 20, 30, 40, 50, and 60 min, find the flow rate andthea mount of water remaining in the tank. Summarize your finding sin a sentence or two. At what time is the flow rate the greatest?The least?
Aubree Mcintyre
Skilled2021-01-01Added 73 answers
Jeffrey Jordon
Expert2021-10-13Added 2605 answers
Step 1
Find V'(t)
Step 2
Step 3
Step 4
This can be expressed as a function of t.
evaluate at the given times
The flow rate is greatest at the beginning , the least towards the end. The pressure from the weight of the higher volume at the beginning helps the water to push itself out the drain opening.
xleb123
Skilled2023-06-18Added 181 answers
fudzisako
Skilled2023-06-18Added 105 answers
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