Question
Help with 10-13. Thank you.
V. Multiple Choice 10. A harmonic wave has an amplitude ol 9.5 iim, a lrequency ol 7.4 Hz, and a wave spccd of 29. s. If the lunction is written in the lorm y-Asin(kx-ul)·then what I the value ol k? a 1.3 rad m b 1.6 rad m c 1.9 rad m d. 2.2 rad m e. 2.5 rad'm 11. A harmonic wave has an amplitude of 9.5 mm, a frequency of 7.4 117, and a wave speed of 29 /s. If the function is written in the form y = Asin(kx-cnt), then what l the value of m? a 46 rad s b. 49 rads c 52 rads d. 55 rad.s e. 58 rad s 12. A harmonic wave has an amplitude ol 9.5 iim, a lrequency ol 7.4 Hz, and a wave spced ul 29 s. Delerimine the maxiu spd ofany element on the rope. a. 0.41m/s b. 0.44 Inis c. 0.47 s d. 0.50 ms e. 0.53 ms 13. Delerminc lhe direction (loward ty ur toward -y)o the velocity and of lhe acceleration of an element of a rope as a wave passes by the element located at coordinate xi in the ligure. The wave is traveling in the +x direction. [Hint: You can determine these directions from an examination of the slope and of the curvature of the rope at the element at his particular instant.] A lso assume the poorly drawn curve represents a perfect harmonic wave function
Explanation / Answer
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11.w = 2 f = 2*3.14*7.4 = 46 rad/s
10.k= w/v = 46/29 =1.6 rad/m
12.Vmax=Aw=0.44 m/s
13.Option c is correct because slope at x1 positive and Vp = - v dy/dx whereas when curvature is upwards acceleration is positive
