A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y ( x , t ) = 2.30 mm cos [(6.98 rad/m) x + (742 rad/s) t ]. Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following: (a) amplitude; (b) frequency; (c) wavelength; (d) wave speed; (c) direction the wave is traveling; (f) tension in the rope; (g) average power transmitted by the wave.
A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y ( x , t ) = 2.30 mm cos [(6.98 rad/m) x + (742 rad/s) t ]. Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following: (a) amplitude; (b) frequency; (c) wavelength; (d) wave speed; (c) direction the wave is traveling; (f) tension in the rope; (g) average power transmitted by the wave.
A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x, t) = 2.30 mm cos [(6.98 rad/m)x + (742 rad/s)t]. Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following: (a) amplitude; (b) frequency; (c) wavelength; (d) wave speed; (c) direction the wave is traveling; (f) tension in the rope; (g) average power transmitted by the wave.
Problem 4: A traveling wave along the x-axis is given by the following wave functionψ(x, t) = 3.6 cos(1.4x - 9.2t + 0.34),where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave:
Part (a) The amplitude in meters. Part (b) The frequency, in hertz. Part (c) The wavelength in meters. Part (d) The wave speed, in meters per second.
Part (e) The phase constant in radians.
A certain transverse wave is described by
y(x,t)=Bcos[2π(xL−tτ)]y(x,t)=Bcos[2π(x/L−t/τ)],
where B = 6.30 mm, LLlambda = 30.0 cm, and τ = 3.20×10−2 ss.
Determine the wave's amplitude.
Express your answer in meters.
Determine the wave's wavelength.
Express your answer in meters.
Determine the wave's frequency.
Express your answer in hertzes
.
Determine the wave's speed of propagation.
Express your answer in meters per second.
Determine the wave's direction of propagation.
+x or -x?
Chapter 15 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Essential University Physics: Volume 1 (3rd Edition)
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