Transverse sinusoidal wave?

Question

A transverse sinusoidal wave on a string has a period T = 36.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 1.50 m/s.
(a) What is the amplitude of the wave?
_____________m

(b) What is the phase constant?
__________rad

(c) What is the maximum transverse speed of the string?
__________ m/s

(d) Write the wave function for the wave. (Use the following as necessary: x and t. Assume y and x are in m and t is in s.)
y(x, t)=___________ m


please help. i have no idea what to do. id greatly appreciate it

Answer 1

Best Answer - Chosen by Asker

a)
y(x,t) = Asin(kx+wt+ φ )
y(0,0) = Asin(k*0+w*0+ φ ) = Asin φ
dy/dt = Awcos φ = -1.50 m/s
w = 2pi/T = 2pi/0.0360s = 55.56pi/s
A^2 = xi^2 + vi/w^2 = 0.020m^2+ (1.5m/s/55.56pi/s)^2
Solve for A

b)
Asinφ/Acosφ = 0.020 / (-1.5/55.56pi) = -2.32 = tanφ
use tan-1(-2.32), get an answer. subtract the absolute value of it from pi.
that's your answer.

c) vymax = Aw
plug in the numbers. A was the answer from part a. w was also found in part a


d) not sure how to do this.

Source(s):

taking the same class. just did webassign.

Asker's Rating:

Asker's Comment:

Thanks lol I really appreciate it. If I figure out part d Ill let you know but its not what I thought so Ill keep trying