Question

11

11 A wire of length L and area of cross section A is stretched through a certain length l. If Y is the Young's modulus of the material of the wire, what is the force constant of the wire?
Force constant, k = F/l = Y A/L

Answer 1

Dear Student ,
We know that , F = kl , where k is the force constant and l is the extension of the length .
So here now , k = F/l
Now again from the definition of the Young's modulus we can write that ,

$$\begin{gathered} Y=\frac{FL}{Al} \\ \Rightarrow \frac{F}{l}=\frac{YA}{L} \\ Sowecanwritethat, \\ k=\frac{F}{l}=\frac{YA}{L} \end{gathered}$$
Regards