(a) What is the length of the string? (b) What is the equation for the displacem

Question

(a) What is the length of the string?

(b) What is the equation for the displacement of the string as a function of position and time?

           a. y(x,t) = 0.002sin(7.0x)cos(3300t)

           b. y(x,t) = 0.004sin(14.0x)cos(3300t)

           c. none of these

           d. y(x,t) = 0.002sin(3.5x)cos(6600t)

I'm not sure if I got (a) or not. I found out the wavelength first by using the speed v (470m/s) and the frequency f (525Hz) using the equation: [Wavelength = speed / frequency] and I got the value 0.895m. From there I used the equation [L = (n/2) * wavelength] where n = 4 loops. Using that I got the length of the string as 1.79m. Please check my work on that one.

For (b) I really don't know where to start.

Thanks.

Explanation / Answer

The length of the string L = n ? /2
= n (v / f ) / 2
= 4 (470 / 525) / 2
= 1.790 m

for b part

we know y(x,t) = A[sin(kx)] cos (wt)

w = k*v .....v =470

from options only k = 7 and w =3300 matches .... so answer is option a

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

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