Yes, i agree with your statement
<span>Vibration is the Answer</span>
Answer:
1.318 * 10^(-2) m
Explanation:
Parameters given:
Frequency, f = 22.75 * 10^9 Hz
Velocity, v = 2.9979 * 10^8 m/s
Wavelength is given as:
Wavelength = v/f
Wavelength = (2.9979 * 10^8) / (22.75 * 10^9)
Wavelength = 0.01318 m = 1.318 * 10^(-2) m
Complete question:
A taut rope has a mass of 0.123 kg and a length of 3.54 m. What average power must be supplied to the rope to generate sinusoidal waves that have amplitude 0.200 m and wavelength 0.600 m if the waves are to travel at 28.0 m/s ?
Answer:
The average power supplied to the rope to generate sinusoidal waves is 1676.159 watts.
Explanation:
Velocity = Frequency X wavelength
V = Fλ ⇒ F = V/λ
F = 28/0.6 = 46.67 Hz
Angular frequency (ω) = 2πF = 2π (46.67) = 93.34π rad/s
Average power supplied to the rope will be calculated as follows

where;
ω is the angular frequency
A is the amplitude
V is the velocity
μ is mass per unit length = 0.123/3.54 = 0.0348 kg/m
= 1676.159 watts
The average power supplied to the rope to generate sinusoidal waves is 1676.159 watts.