A C note (f = 256 Hz)is sounded on a piano.If the length of the piano wire is 1.00 m and its mass density is 2.50 g/m,what is the tension in the wire?
A)84 N
B)168 N
C)655 N
D)1 280 N

Question

Quizplus · Accepted Answer

We can use the formula for the tension in a string:

T = (mass density) x (length of wire) x (frequency squared) x (constant)

where the constant depends on the properties of the wire and how it is fixed at the ends. For a piano wire, the constant is typically around 0.36.

Plugging in the given values, we get:

T = (2.50 g/m) x (1.00 m) x (256 Hz)^2 x 0.36

T = 655.36 N

Therefore, the tension in the wire is approximately 655 N. The closest answer choice is C.

A C Note (F = 256 Hz)is Sounded on a Piano.If