Find the angular wave number k- period T- angular frequency - and speed v of wave-

For a wave y=Acos(kx ω t) , k=2πλ=2π40cm=0.157rad/cm ω=2πν=2π× 8=50.3rad/s T=1ν=18Hz=0.125s Speed of wave= ωk=50.30.157=320cm/s ...

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Standard XII

Physics

Expression for Standing Waves

Find the angu...

Question

Find the angular wave number k, period T, angular frequency $ω$ and speed v of wave.

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Solution

For a wave $y = A c o s (k x - ω t)$ ,
$k = \frac{2 π}{λ} = \frac{2 π}{40 c m} = 0.157 r a d / c m$
$ω = 2 π ν = 2 π \times 8 = 50.3 r a d / s$
$T = \frac{1}{ν} = \frac{1}{8 H z} = 0.125 s$
Speed of wave= $\frac{ω}{k} = \frac{50.3}{0.157} = 320 c m / s$

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Find the angular wave number k, period T, angular frequency ω and speed v of wave.

For a wave y=Acos(kx−ωt),k=2πλ=2π40cm=0.157rad/cmω=2πν=2π×8=50.3rad/sT=1ν=18Hz=0.125sSpeed of wave=ωk=50.30.157=320cm/s

Find the angular wave number k, period T, angular frequency $ω$ and speed v of wave.

For a wave $y = A c o s (k x - ω t)$ ,
$k = \frac{2 π}{λ} = \frac{2 π}{40 c m} = 0.157 r a d / c m$
$ω = 2 π ν = 2 π \times 8 = 50.3 r a d / s$
$T = \frac{1}{ν} = \frac{1}{8 H z} = 0.125 s$
Speed of wave= $\frac{ω}{k} = \frac{50.3}{0.157} = 320 c m / s$