BackA fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is . Being more practical, you measure the rope to have a length of and a mass of . You are then asked to determine the following: (f) tension in the rope; (g) average power transmitted by the wave.
A horizontal string is stretched with a tension of 90 N, and the speed of transverse waves for the wire is 400 m/s. What must the amplitude of a 70.0 Hz traveling wave be for the average power carried by the wave to be 0.365 W?
(II) A thin steel wire of diameter 1.0 mm is connected to an oscillator and is under a tension of 7.5 N. The frequency of the oscillator is 60.0 Hz and it is observed that the amplitude of the wave on the steel wire is 0.40 cm. What is the power output of the oscillator, assuming that the wave is not reflected back?
II) (b) If the cord is under a tension FT = 135 N and has mass per unit length 0.10 kg/m, what power is required to transmit 120-Hz transverse waves of amplitude 2.4 cm?
Two waves traveling along a stretched string have the same frequency, but one transports 2.5 times the power of the other. What is the ratio of the amplitudes of the two waves?
Estimate the average power of a moving water wave that strikes the chest of an adult standing in the water at the seashore. Assume that the amplitude of the wave is 0.50 m, the wavelength is 2.5 m, and the period is 4.0 s.
(II) A thin steel wire of diameter 1.0 mm is connected to an oscillator and is under a tension of 7.5 N. The frequency of the oscillator is 60.0 Hz and it is observed that the amplitude of the wave on the steel wire is 0.40 cm. If the power output stays constant but the frequency is doubled, what is the amplitude of the wave?