A continuous sinusoidal wave is moving on a long rope in the +x direction. The wave is described by wavelength λ = 6.00 m, amplitude A = 3.20 m and speed v = 30.0 m/s. When time = 0 seconds on a spot on the rope at x = 0 meters has a y-displacement of 0 meters.
Determine:
1. The angular frequency and angular wave number.
2. The tension on the rope.
3. The expression that describes the y-displacement of the media particles as a function of time (include numbers for all the quantities).
4. The y-displacement for a rope particle at x = 12.0 m at a time of 25.0 seconds.
5. The transverse acceleration for a rope particle at x= 42.0 m at a time of 25.0 seconds.