Question

The length of wire increased by 1% on loading a 2 kg weight on it calculate the linear strain in the wire

Answer 1

The linear strain in the wire is 0.01.

Linear strain is defined as the ratio of change in length to the original length.

Let, the original length of the wire is l,

Now upon loading the length of the wire increased by 1%, therefore the length of the wire becomes

l'=l+(1/100)l=1.01l

Change in length of the wire

Δl=1.01l-l=0.01l

Now the linear strain is=$\frac{0.01l}{l}$=0.01

Therefore the linear strain in the wire is 0.01.

Answer 2

The linear strain in the wire is 0.01.

Linear strain is defined as the ratio of change in length to the original length.

Let, the original length of the wire is l,

Now upon loading the length of the wire increased by 1%, therefore the length of the wire becomes

l'=l+(1/100)l=1.01l

Change in length of the wire

Δl=1.01l-l=0.01l

Now the linear strain is=\frac{0.01l}{l}=0.01

Therefore the linear strain in the wire is 0.01