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For a wave described by y = 0.5 sin(x - ...

For a wave described by `y = 0.5 sin(x - 60t) cm,` find (i) amplitude (ii) wave-vector (iii) wavelength (iv) angular frequency and frequency (v) periodic time (vi) speed of wave.

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Comparing `y =0.5 sin (x-60t)`
with `y = 0.5 sin (kx - omega t )`
(i) amplitude of a wave `A =0.5 cm`
(ii) wave vector k =1 rad/cm
(iii) wavelength `lamda = (2pi)/(k) = (2xx 3.14)/(1) = 6.28 cm`
(iv) anguylar frequency `omega = 2pi f = 60` rad/s
`therefore` Frequency `f = (60)/(2pi) = (60)/(2 xx 3.14)= 9.554 Hz`
(v) periodic time `T = (1)/(f) = (1)/(9.554) = 0.1047 s `
(vi) wave speed `v = (omeg )/(k) = (60)/(1) = 60 (cm)/(s)`
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