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A sinusoidal wave moving along a string is shown twice below, as crest A travels

ID: 1784953 • Letter: A

Question

A sinusoidal wave moving along a string is shown twice below, as crest A travels in the positive direction of an x axis by distance d = 2.0 cm in 8.2 ms. The tick marks along the axis are separated by 4.0 cm; height

sinusoldal wave mo along a string is shown twice below, as crest A travels in the positive direction of an x axis by distance 2.0 cm in 8.2 ms. The tick marks alo the axis are separated by 4.0 cm; helght 6.00 mm The wave equation is of the form below. x, t) m sin (a) What is Ym Emm (b) What is k? t) 9.3rad/m (c) what is a 95.8 rad/s (d) what is the correct choice of sign in front of a?

Explanation / Answer

c= frequency ( wave length)

( 2 x 10^-2 ) / 8.2 x 10^-3 = frequency (16 x 10^-2)

frquency = 0.1524 hz

k = 2pi / wavelength = ( 2x 3.14 / 16 x 10^-2) = 39.25 rad/m

w= kv = 39.25 (2.439) = 95.73 apprx