Answered: Discuss the truth or falsehood of the…

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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Question

A cylindrical bathtub is discharged at a rate of change of 10 L /s. Discuss the truth or falsehood of the following statements:

a) "The rate of change of the cross-sectional area of the tub with respect to time is a nonzero constant."

b) "The rate of change of the height of the water with respect to time is negative."

Expert Solution

Step 1: To discuss statement (a)

Given, statement (a):

"The rate of change of the cross sectional area of the tub with respect to time is a nonzero constant."

The cross-sectional area of the tub is a geometric property of the tub depending upon the diameter. Since, the diameter of the tub remains unaffected, the rate of change of cross-sectional area of the tub = 0.

Therefore, the the given statement is FALSE.

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Discuss the truth or falsehood of the following statements: a) "The rate of change of the cross-sectional area of ​​the tub with respect to time is a nonzero constant." b) "The rate of change of the height of the water with respect to time is negative."

Discuss the truth or falsehood of the following statements: a) "The rate of change of the cross-sectional area of the tub with respect to time is a nonzero constant." b) "The rate of change of the height of the water with respect to time is negative."