Question

A steel piano wire, of length 1.350 m and mass 6.00 g is stretched under a tension of 500.0 N. What is the speed of transverse waves on the wire?

Answer 1

The speed of transverse waves on the steel piano wire is 474.5 m/s.

Step-by-step explanation:

To find the speed of transverse waves on the steel piano wire, we can use the formula:

Speed = √(Tension / (linear mass density))

Given that the tension is 500.0 N, we need to calculate the linear mass density of the wire using the given length and mass.

Linear mass density = mass / length = 6.00 g / 1.350 m = 4.44 g/m = 4.44 × 10-3 kg/m

Now we can plug in the values into the formula to find the speed:

Speed = √(500.0 N / (4.44 × 10-3 kg/m)) = 474.5 m/s