A low C (f = 65Hz) is sounded on a piano. If the length of the piano wire is 2.0 m and its mass density is 5.0 g/m2, determine the tension of the wire.

Tension of the wire (T) = 169 N

Explanation:

Given:

f = 65Hz

Length of the piano wire (L) = 2 m

Mass density = 5.0 g/m² = 0.005 kg/m²

Find:

Tension of the wire (T)

Computation:

f = v / λ

65 = v / 2L

65 = v / (2) (2)

v = 260 m/s

T = v² (m/l)

T = (260) ² (0.005/2)

T = 169 N

Tension of the wire (T) = 169 N