A piano wire has a linear mass density of μ = 4.85 ✕ 10−3 kg/m. Under what tension (in N) must the string be kept to produce waves with a wave speed of 595.00 m/s?

The string must have a tension of 1717.021 newtons to have a wave speed of 595 meters per second.

Explanation:

This is a case where transversal waves occur. The formula of speed for transversal waves is:

Where:

- Speed of the transversal wave, measured in meters per second.

- Linear mass density, measured in kilograms per meter.

- Tension, measured in newtons.

The tension is now cleared:

If and , the tension needed is:

The string must have a tension of 1717.021 newtons to have a wave speed of 595 meters per second.