Answer:
Therefore the the highest frequency is 620Hz and lowest frequency is 580Hz
Explanation:
Given data
Source Frequency fs=600Hz
Length r=1.0m
RPM=100 rpm
The speed of the generator is calculated as:
[tex]v_{s}=rw\\v_{s}=r(2\pi f)[/tex]
Substitute the given values
[tex]v_{s}=(1.0m)2\pi (\frac{100}{60}rev/s )\\v_{s}=10.47m/s[/tex]
For approaching generator the frequency is calculated as:
[tex]f_{+}=\frac{f_{s}}{1-\frac{v_{s}}{v} }\\f_{+}=\frac{600Hz}{1-\frac{10.47m/s}{343m/s} } \\f_{+}=620Hz[/tex]
On the other hand,for the receding generator,Doppler's effect is expressed as:
[tex]f_{-}=\frac{f_{s}}{1+\frac{v_{s}}{v} }\\f_{-}=\frac{600Hz}{1+\frac{10.47m/s}{343m/s} } \\f_{-}=580Hz[/tex]
Therefore the the highest frequency is 620Hz and lowest frequency is 580Hz
