Answer:
a.87.6 m/s
b.18.25 Hz
Explanation:
the equation for the wave speed is expressed as
[tex]v=\sqrt{\frac{Tl}{m}}\\[/tex]
where v is the speed,
T is the tension in Newton
l is the length
and m is the mass
Now since
[tex]T=8.0N\\m=2.5g=0.0025kg\\l= 240cm=2.40cm\\[/tex]
by substituting values into the equation, we have
[tex]v=\sqrt{\frac{8*2.40}{0.0025} } \\v=87.6m/s\\[/tex]
b. the expression for the frequency is giving as
[tex]Frequency,f=\frac{v}{2l} \\f=\frac{87.6}{2*2.40} \\f=18.25Hz\\[/tex].
Note we 2L as the wavelength because we solving for the fundamental frequency as stated in the question.
