2) A certain tranverse wave on a string has a displacment n the y-direction but

Question

2) A certain tranverse wave on a string has a displacment n the y-direction but propogates in the z-direction, and is described In y- ,Icoski -w, + ) Its wavelength is 4 cm. Depicted below is instead the corresponding tranverse (motion pespendlicular to the string) acceleration, a, of a point on the strig at the loeation of the r origin, r0. plotted versus farne. Read the above phrases again. Note that the below graph depicts the transverse acceler- ation versus time at .r = 0, and it does not depict the mentinct wave on astring as a function of position a (cm/sec2) 5.0 t (s) -5.0 a) Determine the period of the wave propogating on the string b) Determine the phase velocity of the wave propagating on the string. c) Determine the amplitude of the wave propagating on the string

Explanation / Answer

(A) Time period is the time in which wave complete one oscillation.

T = 4 sec

(B) phase velocity = wavelength / T

= 4 cm / 4 sec

= 1 cm/s Or 0.01 m/s

(C) a_max = 5 cm/s^2

and w = 2 pi / T = 1.57 rad/s

a_mx = A w^2

5 cm/s^2 = (A) (1.57^2)

A = 2.03 cm ......Ans

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.