Answers:
a) 222.22 m/s
b) 800.00 km/h
Explanation:
The speed of a wave is given by the following equation:
[tex]v=f \lambda[/tex]
Where:
[tex]v[/tex] is the speed
[tex]f=\frac{1}{T}[/tex] is the frequency, which has an inverse relation with the period [tex]T=1 h[/tex]
[tex]\lambda=800 km[/tex] is the wavelength
Solving with the given units:
[tex]v=\frac{1}{T}\lambda[/tex]
[tex]v=\frac{1}{1 h}800 km[/tex]
[tex]v=800.00 km/h[/tex] This is the speed of the wave in km/h
Transforming this speed to m/s:
[tex]v=800.00 \frac{km}{h} \frac{1 h}{3600 s} \frac{1000 m}{1 km}[/tex]
[tex]v=222.22 m/s[/tex] This is the speed of the wave in m/s
