Problem 1: Clogged Bathtub This bathtub cost a bundle, but even rich people occasionally have to deal with clogged drains. Part A Write the basic equation for volume balance for this system. What property of the fluid allows us to simplify from mass balance (which is always valid) to volume balance (which is not)? Part B The rich person turns on the faucet to flow at 5.0 gal/min for 15 minutes. Meanwhile, the open drain is draining at 1.0 gal/min. How much water is in the bathtub after 15 minutes? Then, how long will it take to completely drain? Part C Make a plot showing the volume of water versus time.

Problem 1: Clogged Bathtub This bathtub cost a bundle, but even rich people occasionally have to deal with clogged drains. Part A Write the basic equation for volume balance for this system. What property of the fluid allows us to simplify from mass balance (which is always valid) to volume balance (which is not)? Part B The rich person turns on the faucet to flow at 5.0 gal/min for 15 minutes. Meanwhile, the open drain is draining at 1.0 gal/min. How much water is in the bathtub after 15 minutes? Then, how long will it take to completely drain? Part C Make a plot showing the volume of water versus time.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Storm Sewers and Detention

The storm drains system transports rainwater or stormwater and other runoff from roads, parking lots, and roof downpipes directly to nearby creeks, rivers, or the sea without any treatment.

Question

Problem 1: Clogged Bathtub
This bathtub cost a bundle, but even rich people
occasionally have to deal with clogged drains.
Part A
Write the basic equation for volume balance for
this system. What property of the fluid allows
us to simplify from mass balance (which is
always valid) to volume balance (which is not)?
Part B
The rich person turns on the faucet to flow at 5.0 gal/min for 15 minutes. Meanwhile, the open
drain is draining at 1.0 gal/min. How much water is in the bathtub after 15 minutes? Then, how
long will it take to completely drain?
Part C
Make a plot showing the volume of water versus time.

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Step 1: Introducing Given data

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Step 2: Basic equation of volume balance & property

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Step 3: Calculate volume in bathtub & time to completely drain the bathtub

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Step 4: Calculating equation for plot

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Step 5: Plot of volume versus time

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