If transverse waves travel at 38 m/s in an aluminum wire of 4.6 mm diameter, the tension on the wire is 64.72 N
The speed or the velocity of a transverse waves in a wire id given by:
v = sqrt ( T / μ)
Where:
T = Tension on the wire
μ = mass per unit length
In the given problem:
v = 38 m/s
d = diameter of the wire = 4.6 mm
Area of wire's cross section:
A = π x (2.3)²
= 16.6 mm² = 16.6 x 10⁻⁶ m
μ = density x A
= 2700 x 16.6 x 10⁻⁶ = 0.045 kg/m
Take the square of the equation:
v² = T / μ
T = μ x v² = 0.045 x 38² = 64.72 N
Your question is incomplete, but most probably your question was:
The density of aluminum is 2700 kg/m3. If transverse waves travel at 38 m/s in an aluminum wire of 4.6 mm diameter. What is the tension on the wire?
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