Back to 12.3 Stress, Strain, and Elastic Modulus

12.3 Exercise 32

Avg difficulty 2.5

During a walk on a rope, a tightrope walker creates a tension of 3.94×103N3.94 \times 1 0^{3} N in a wire that is stretched between two supporting poles that are 15.0 m apart. The wire has a diameter of 0.50 cm when it is not stretched. When the walker is on the wire in the middle between the poles the wire makes an angle of 5.0°5.0 ° below the horizontal. How much does this tension stretch the steel wire when the walker is this position?

OpenStax University Physics Volume 1, 12.3 Stress, Strain, and Elastic Modulus, exercise 32

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.