The flask will be filled with water (at a constant rate of 500 gallons per minute). It will take me exactly 10 minutes to escape from the chains. The diameter of the tank at 1 foot intervals. I am 5 feet 9 inches tall, and I'm pretty skinny so that you can ignore both my volume and the volume of the stool in your analysis. A gallon is equal to 0.13368 cubic feet. You can think of the volume and the height of the water as functions of time. You can easily find an expression for V (t), and then use your expression for volume in terms of height to solve for h(t).
The flask will be filled with water (at a constant rate of 500 gallons per minute). It will take me exactly 10 minutes to escape from the chains. The diameter of the tank at 1 foot intervals. I am 5 feet 9 inches tall, and I'm pretty skinny so that you can ignore both my volume and the volume of the stool in your analysis. A gallon is equal to 0.13368 cubic feet. You can think of the volume and the height of the water as functions of time. You can easily find an expression for V (t), and then use your expression for volume in terms of height to solve for h(t).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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- The flask will be filled with water (at a constant rate of 500 gallons per minute).
- It will take me exactly 10 minutes to escape from the chains.
- The diameter of the tank at 1 foot intervals.
- I am 5 feet 9 inches tall, and I'm pretty skinny so that you can ignore both my volume and the volume of the stool in your analysis.
- A gallon is equal to 0.13368 cubic feet.
- You can think of the volume and the height of the water as functions of time. You can easily find an expression for V (t), and then use your expression for volume in terms of height to solve for h(t).
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