Question

A wave speed in a piano string of linear density 5.0 g/m is 140 m/s. What is the tension in the string?

Answer 1

The tension in the string is 98 newtons.

Step-by-step explanation:

Since a mecanical wave is propagated throughout the material of the string under tension, which is calculated by using the following formula:

`T = v^(2)\cdot \mu` (1)

Where:

`T` - Tension in the string, in newtons.

`v` - Wave speed, in meters per second.

`\mu` - Linear density, in kilograms per second.

If we know that
`v = 140\,(m)/(s)` and
`\mu = 5* 10^(-3)\,(kg)/(m)`, then the tension in the string is:

`T = v^(2)\cdot \mu`

`T = 98\,N`

The tension in the string is 98 newtons.