A metal cylinder of length 1 m and radius 10 cm is stretched so that its length increases by 10%. If the Poisson ratio for this metal is 0.3, what is its radius while it is stretched?
A)11.0 cm.
B)10.3 cm.
C)10 cm.
D)9.7 cm.
E)9.0 cm.

Question

Quizplus · Accepted Answer

The Poisson's ratio is the negative ratio of transverse to axial strain. If the length increases by 10%, the axial strain is 0.1. With a Poisson's ratio of 0.3, the transverse strain is -0.3 * 0.1 = -0.03. The new radius is 10 cm * (1 - 0.03) = 9.7 cm.

A Metal Cylinder of Length 1 M and Radius 10