ch16-p013 - 13. From Eq. 16-10, a general expression for a...

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(d) The angular frequency is ω = 2 π / T = π /5 = 0.63 rad/s. (e) As found in part (a), the phase is φ π = . (f) The sign is minus since the wave is traveling in the + x direction. (g) Since the frequency is f = 1/ T = 0.10 s, the speed of the wave is v = f λ = 2.0 cm/s. (h) From the results above, the wave may be expressed as ( , ) 4.0sin 4.0sin 10 5 10 5 x tx t yxt ππ §· § · =− + = ¨¸ ¨ ¸ ©¹ © ¹ . Taking the derivative of y with respect to t , we find (,) 4 . 0 c o s 10 5 y xt uxt tt ∂π §· § · == ¨¸ ¨ ¸ ©¹ © ¹ which yields u (0,5.0) = –2.5 cm/s. 13. From Eq. 16-10, a general expression for a sinusoidal wave traveling along the +
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