can you please help me with these Q1: A transverse wave is traveling on a string

Question

can you please help me with these

Q1: A transverse wave is traveling on a string. The displacement y of a particle from its equilibrium position is given by y= (0.0922 m) sin (16.0t - 4.00x) where x and y are in m, and t is in seconds.

a. What is the amplitude of the motion?

b. What is the frequency of this motion?

c. What is the period of this motion?

d. What is the wavelength of this motion?

e. What is the wave speed of this motion?

f. Is the wave traveling in the positive or the negative x-direction?

Q2: There are 3 sources of sound in a room. At the center of the room, source A registers 70.0 dB, source B registers 70.0 dB and source C registers 90.0 dB. What is the total sound level intensity at the center of this room?

Explanation / Answer

y = (0.0922 m) sin (16.0t - 4.00x)
y = A sin(t - kx)

--> speed of wave :
v = /k = 16/4 = 4 m/s

--> from the Melde's law :
v = F/ -----> F = the string's tension (N)
= the linear density

---> F = * v^2

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