Final answer:
To find the propagation speed of the waves, the wave speed formula v = λf is used, where λ is the wavelength and f is the frequency. Given a wavelength of 8.00 m and frequency of 2.00 Hz, the propagation speed is calculated to be 16.00 m/s.
Step-by-step explanation:
To determine the propagation speed of a wave, we can apply the basic wave speed equation:
v = λf
where:
In the problem provided, the wave crests are observed to be 8.00 m apart, which is the wavelength (λ), and the bridge is shaken twice per second, which means the frequency (f) is 2.00 Hz. Using the equation:
v = 8.00 m * 2.00 Hz
v = 16.00 m/s
So, the propagation speed of the waves on the rope bridge is 16.00 meters per second.