Question #166151
A transverse wave is describe by the function y=(.08 m) sin[(28 radians) t+(5.6 m^-1)x]. Find the amplitude, angular frequency, frequency, period, wavelength and speed of the wave.
1
Expert's answer
2021-02-24T12:48:55-0500

a)

A=0.08 m.A=0.08\ m.

b)

ω=28 rads.\omega=28\ \dfrac{rad}{s}.

c)

f=ω2π=28 rads2π=4.46 Hz.f=\dfrac{\omega}{2\pi}=\dfrac{28\ \dfrac{rad}{s}}{2\pi}=4.46\ Hz.

d)

T=1f=14.46 Hz=0.224 s.T=\dfrac{1}{f}=\dfrac{1}{4.46\ Hz}=0.224\ s.

e)

λ=2πk=2π5.6 m1=1.12 m.\lambda=\dfrac{2\pi}{k}=\dfrac{2\pi}{5.6\ m^{-1}}=1.12\ m.

f)

v=fλ=4.46 Hz1.12 m=5 ms.v=f\lambda=4.46\ Hz\cdot1.12\ m=5\ \dfrac{m}{s}.

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