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

Physics

1 answer:

Maksim231197 [3]3 years ago

3 0

Answer:

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

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