Calculate the strain on a rubber strip with an original length of 0.3 m that stretches to 0.5 m.

Question

ScanSolve AI Tutor · Accepted Answer

To find the strain on the rubber strip, we first need to determine the extension, and then use the formula for strain.

Identify the given values.
Original length, $L_0 = 0.3 \text{ m}$
Total length after stretching, $L = 0.5 \text{ m}$
Calculate the extension ( $\Delta L$ ).
The extension is the difference between the total length and the original length.
$\Delta L = L - L_0$ $\Delta L = 0.5 \text{ m} - 0.3 \text{ m}$ $\Delta L = 0.2 \text{ m}$
State the formula for strain.
Strain ( $\epsilon$ ) is given by:
$\epsilon = \frac{\Delta L}{L_0}$
Substitute the values into the formula and calculate the strain.
$\epsilon = \frac{0.2 \text{ m}}{0.3 \text{ m}}$ $\epsilon = 0.6666...$ $\epsilon \approx 0.67$
Strain is a dimensionless quantity.

The calculated value of strain is $\text{0.67}$ .

Answer