(a)
The volume of the column.
(a)
Answer to Problem 52E
The volume of the column is
Explanation of Solution
Given:
The side length of square is s which lies in a plane perpendicular to L. One vertex of the square lies on L.
Calculation:
The volume of column can be find out as:
Conclusion:
The volume of the column is
(b)
The change in volume if square turns twice instead of one.
(b)
Answer to Problem 52E
There is no change in volume.
Explanation of Solution
Given:
The square turns one revolution about L.
Calculation:
The cross section area of the twisted column is same as the original column. Hence, both original and twisted have the same volume.
Now, if square turns twice then the new volume can be find out as:
This is the same volume as before, hence no change in volume if square takes two revolution instead of one.
Conclusion:
There is no change in volume.
Chapter 7 Solutions
CALCULUS-W/XL ACCESS
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