The wave function for a traveling wave on a taut string is (in SI units) y(x,t)

Question

The wave function for a traveling wave on a taut string is (in SI units) y(x,t) = 0.380 sin (12?t ? 1?x + ?/4) (a) What are the speed and direction of travel of the wave? speed ______________m/s direction ______________ (b) What is the vertical position of an element of the string at t = 0, x = 0.112 m? ________________________m (c) What is the wavelength of the wave? ________________________m (d) What is the frequency of the wave? ________________________Hz (e) What is the maximum transverse speed of an element of the string? ________________________ m/s

Explanation / Answer

y(x,t) = 0.380 sin (12t +1x + /4)

y(x,t)=Asin(2ft+2x/+)

I THINK THIS IS THE EQUATION RIGHt

a)v=w/k=f=6*2=12m/s

-ve ydirection

b)y(0.112,0)=0.380sin(0+3.14*0.112+3.14/4)=0.344m

c)=2m

d)f=6Hz

e)v=dy/dt=0.380*12*3.14cos(12t +1x + /4)

vmax=0.380*12*3.14=14.31m/s

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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