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3 years ago

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A 240 cm length of string has a mass of 2.5 g. It is stretched with a tension of 8.0 N between fixed supports. (a) What is the w

ave speed for this string? (b) What is the lowest resonant frequency of this string?

1 answer:

kotykmax [81]3 years ago

3 0

Answer:

a.87.6 m/s

b.18.25 Hz

Explanation:

the equation for the wave speed is expressed as

$v=\sqrt{\frac{Tl}{m}}\\$

where v is the speed,

T is the tension in Newton

l is the length

and m is the mass

Now since

$T=8.0N\\m=2.5g=0.0025kg\\l= 240cm=2.40cm\\$

by substituting values into the equation, we have

$v=\sqrt{\frac{8*2.40}{0.0025} } \\v=87.6m/s\\$

b. the expression for the frequency is giving as

$Frequency,f=\frac{v}{2l} \\f=\frac{87.6}{2*2.40} \\f=18.25Hz\\$ .

Note we 2L as the wavelength because we solving for the fundamental frequency as stated in the question.

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