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