Two sinusoidal waves travelling in opposite directions interfere to produce a standing wave described by the equation `y=(1.5)msin(0.200x)cos(100t)`, where x is in metres and t is in seconds. Determine the wavelength, frequency and speed of the interfering waves.

Explanation

Given equation `y=(1.5m)sin(0.200x)cos(100t)` is comparing from standard equation,
`y=2Asinkxcosomegat`
`2A=1.5" m k"=0.200`
`impliesA=(1.5)/(2)m(2pi)/(lamda)=0.200`
`lamda=(2pi)/(0.200)xx10^(3)`
`=10pi`
`=3.14xx10`
`=31.4m`
`omega=100=2pif`
`impliesf=(100)/(2pi)=(50)/(pi)` hertz
speed of waves `v=(omega)/(k)`
`=(100)/(0.200)`
`=(100xx1000)/(200)`
`=500m//s`.