The wave speed on a string under tension is 200 m/s. What is the speed if the tension is doubled?

v = 282.84 m / s

Explanation:

The speed of a wave in a wire is given by the equation

. v = √ T / ρ

Where v is the speed of the wave, T the tension in the wire and ρ the density of the wire

If the tension is doubled

T = 2T₀

v = √ (2T₀ / ρ)

v = √2 √ T₀ / ρ

v = √2 v₀

calculate

v = √2 200

v = 282.84 m / s