Answer:
Explanation:
Given
Wavelength of first timpani [tex]\lambda _1=2.2\ m[/tex]
Frequency corresponding to this Wavelength
[tex]f_1=\frac{v}{\lambda _1}[/tex]
where [tex]v=velocity\ of\ sound (343 m/s)[/tex]
[tex]f_1=\frac{343}{2.2}[/tex]
[tex]f_1=155.9\ Hz[/tex]
Wavelength of Second timpani [tex]\lambda _2=2.1\ m[/tex]
Frequency corresponding to this Wavelength
[tex]f_2=\frac{v}{\lambda _2}[/tex]
[tex]f_2=\frac{343}{2.1}=163.33\ Hz[/tex]
Beat frequency [tex]=f_2-f_1[/tex]
Beat frequency [tex]=163.33-155.9=7.43[/tex]
so approximately 7 beats per second
