Chapter 14: Standing waves on a string are generated by oscillations having amplitude 0.005 m, angular frequency 942 rad/s, and wave number 0.750π rad/m.
a.) What is the equation of the standing wave?
b.) At what distances from x=0 are the nodes and antinodes?
c.) What is the frequency of a point on the string at an antinode?
d.) If the string is 4m long, how many nodes are there?

Question

Chapter 14: Standing waves on a string are generated by oscillations having amplitude 0.005 m, angular frequency 942 rad/s, and wave number 0.750π rad/m.  
a.) What is the equation of the standing wave?
b.) At what distances from x=0 are the nodes and antinodes?
c.) What is the frequency of a point on the string at an antinode?
d.) If the string is 4m long, how many nodes are there?

anonymous · Answer

Posted this to physics but its a ghost town over there

anonymous · Answer

I've gotten a and b

anonymous · Answer

Equation of a standing wave is y=2Asin(kx)cos(wt) so we have y=.01sin(.750pix)cos(942t) for the equation

anonymous · Answer

and for nodes location from x is x=n(Wavelength)/2, nodes location from x is x=n(Wavelength)/4

anonymous · Answer

and n doesnt need to be solved there and wavelength is k=2pi/wavelength, we know k, it is .750pi