14) A wave General Physics 2, Midterm ave produced (by an oscillatory machine as

Question

14) A wave General Physics 2, Midterm ave produced (by an oscillatory machine as the where xis OCTOBER 2017 escribed by the expression y(.)-(4.0cmotx What direction is the wave traveling? What is the speed of the wave? What is the an If the linear mass den wire? Keeping the tension and the o the wire with another parameters will change and what will not change How would the new wave exp machine as the source) in a wire is cos(5x+40t), where x is in m and t is in s uency and amplitude of the oscillatory machine? ear mass density of the wire is 0.0050 kg/m, what in e oscillatory source machine unchanged, we replace ire, which has a mass density of 0.01 kglm. What wire, which has a mass density ression look Iike?

Explanation / Answer

a) wave is travelling along the negative x axis

b) speed of wave v = w/k

v = 40/5 = 8 m/s

c) amplitude A = 4 cm

f = w/2pi = 40/2*3.14 = 6.37 Hz

d) v = sqrt(T/mue)

T = v^2*mue = 8^2*0.005 = 0.32 N

e) v = sqrt(0.32/0.01) = 5.66 m/s

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