Final answer:
The speed of waves along the wire is determined by using the formula v = f × λ, where v is the wave speed, f is the frequency, and λ is the wavelength. With a frequency of 5.00 Hz and a wavelength of 56.0 cm (0.560 m), the wave speed is calculated as 2.80 m/s.
Step-by-step explanation:
To determine the speed of waves along the wire, you can use the formula that relates wave speed (v), frequency (f), and wavelength (λ): v = f × λ.
In this case, the frequency (f) of the vibrating wire is given as 5.00 Hz, and the wavelength (λ) is 56.0 cm, which needs to be converted into meters to use SI units (1 cm = 0.01 m). So, λ = 56.0 cm × 0.01 m/cm = 0.560 m.
To determine the speed of the wave as it travels along the string, we can use the formula:
Speed = frequency × wavelength
Given that the frequency is 5.00 Hz and the wavelength is 56.0 cm (or 0.56 m), we can substitute these values into the formula:
Speed = 5.00 Hz × 0.56 m = 2.80 m/s
Therefore, the speed of the wave along the wire is 2.80 m/s.
Now, apply the formula:
v = f × λ
= 5.00 Hz × 0.560 m
= 2.80 m/s
Therefore, the speed of the waves along the wire is 2.80 m/s.
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