A copper wire is held at the two ends by rigid supports. At 30°C, the wire is just taut, with negligible tension…

Q: A copper wire is held at the two ends by rigid supports. At 30°C, the wire is just taut, with negligible tension. Find the speed of transverse waves in this wire at 10°C if Y=1.3×10¹¹ N/m², α = 1.7 × 10^-5/°C and ρ = 9×10³kg/m³

Sol: $\large v = \sqrt{\frac{Y \alpha \Delta \theta}{\rho}}$

$\large v = \sqrt{\frac{1.3 \times 10^11 \times 1.7 \times 10^{-5} \times (30-10)}{9 \times 10^3}}$

v = 70 m/s