4_prelab_hints

# 4_prelab_hints - Standing Waves Prelab 1 1.1 Guitar String...

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Standing Waves Prelab 1 Guitar String 1.1 Linear Mass Density For a steel wire of diameter D = 0 . 010 inches and density ρ = 7 . 80 g/cm 3 , what is the linear mass density μ of the string? The deﬁnition of volume mass density ρ is mass per unit volume, ρ = m V Use this equation to rewrite the mass m of the guitar string as a function of the volume mass density ρ (which is given) and the volume V (which you can calculate). In order to calculate the volume of the steel wire, model the wire as a cylinder of length L and diameter D . What is the equation for the volume of a cylinder? Once you have obtained an equation for the volume of the steel wire, rewrite your ex- pression for the mass of the wire. Your expression for the mass should be a function of the diameter of the wire, the length of the wire, and the density of steel. The deﬁnition of linear mass density μ is mass per unit length, μ = m L Plug your expression for the mass m into the equation for the linear mass density μ . The length of the wire should cancel. (The linear mass density of a very long wire is

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4_prelab_hints - Standing Waves Prelab 1 1.1 Guitar String...

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