# Physics Study Guide/Standing waves

# Standing waves[edit]

**Wave speed** is equal to the square root of **tension** divided by the **linear density** of the string.

μ = m/L |

**Linear density** of the string is equal to the **mass** divided by the **length** of the string.

λ_{max} = 2L |

The **fundamental wavelength** is equal to two times the **length** of the string.

## Variables

μ: linear density (kg/m)v: wave speed (m/s)F: force (N)m: mass (kg)L: length of the string (m)l: meters (m) |

## Definition of terms

t is used for time in these equations). Units: newtons (N)Linear density ( of the string, Greek mu. Units: grams per meter (g/m)μ):Velocity ( of the wave (m/s)v)Mass (: Units: grams (g). (We would use kilograms but they are too big for most strings).m)Length of the string ( Units: meters (m)L): |

Fundamental frequency: the frequency when the wavelength is the longest allowed, this gives us the lowest sound that we can get from the system.

In a string, the length of the string is half of the largest wavelength that can create a standing wave, called its fundamental wavelength.