A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x, t) = 2.30 mm cos [(6.98 rad/m) x + (742 rad/s) t]. Being more practical, you measure the rope to have a length of 1.35 m and a mass of 0.00338 kg. You are then asked to determine the following:
(a) Amplitude;
(b) Frequency;
(c) Wavelength;
(d) Wave speed;
(e) Direction the wave is traveling;
(f) Tension in the rope;
(g) Average power transmitted by the wave.