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Chapter 9: Q17Q (page 230)

Is the Young鈥檚 modulus for a bungee cord smaller or larger than that for an ordinary rope?

Short Answer

Expert verified

The Young鈥檚 modulus for a bungee cord is smaller than that of an ordinary rope.

Step by step solution

01

Understanding Young’s modulus

Young鈥檚 modulus is one of the essential properties of an element that estimates the stiffness and identifies the ductility or brittleness of the element.

02

Evaluating the change in Young’s modulus with ordinary rope and bungee cord

The relation of Young鈥檚 modulus is given by:

\(E = \left( {\frac{F}{A}} \right)\left( {\frac{L}{{\Delta L}}} \right)\)

Here, Fis the force, Ais the area, Lis the length of the cord, and\(\Delta L\)is the change in the length of the cord.

In the above relation, it is observed that Young鈥檚 modulus relies on the change in the length of the particular chord. This indicates that the value of Young鈥檚 modulus reduces with an increase in change in length.

The variation in the length of a bungee cord is much larger than an ordinary rope. So, Young鈥檚 modulus for a bungee cord will be smaller.

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