The density of aluminum is 2700 kg/m³. If transverse waves propagate at 34 ,s in a 4.6-mm diameter aluminum wire, what is the tension on the wire?

Question

Quizplus · Accepted Answer

The correct answer is A because the tension on the wire is given by the formula T = μv^2, where μ is the linear density of the wire and v is the wave velocity. The linear density is given by the formula μ = ρA, where ρ is the density of the wire and A is the cross-sectional area of the wire. The cross-sectional area of the wire is given by the formula A = πr^2, where r is the radius of the wire. Substituting these formulas into the formula for tension, we get T = ρπr^2v^2. Plugging in the given values, we get T = (2700 kg/m^3)π(0.0023 m)^2(34 m/s)^2 = 52 N.

The Density of Aluminum Is 2700 Kg/m3

The Density of Aluminum Is 2700 Kg/m³