A hollow cylindrical rod (rod 1) and a solidcylindrical rod (rod 2) are made of the same material. The tworods have the same length and the same outer radius. If the samecompressional force is applied to each rod, (a) is the change inlength of rod 1 greater than, less than, or equal to the change inlength of rod 2? (b) Choose the best explanation from among thefollowing:I. The solid rod has the larger effective cross-sectional area, sincethe empty part of the hollow rod doesn’t resist compression.Therefore, the solid rod has the smaller change in length.II. The rods have the same outer radius and hence the same crosssectional area. As a result, their change in length is the same.III. The walls of the hollow rod are hard and resist compressionmore than the uniform material in the solid rod. Thereforethe hollow rod has the smaller change in length.
A hollow cylindrical rod (rod 1) and a solid
cylindrical rod (rod 2) are made of the same material. The two
rods have the same length and the same outer radius. If the same
compressional force is applied to each rod, (a) is the change in
length of rod 1 greater than, less than, or equal to the change in
length of rod 2? (b) Choose the best explanation from among the
following:
I. The solid rod has the larger effective cross-sectional area, since
the empty part of the hollow rod doesn’t resist compression.
Therefore, the solid rod has the smaller change in length.
II. The rods have the same outer radius and hence the same crosssectional area. As a result, their change in length is the same.
III. The walls of the hollow rod are hard and resist compression
more than the uniform material in the solid rod. Therefore
the hollow rod has the smaller change in length.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps