a standing wave oscillating at 115 Hz on a string. The distance d between the two walls equals 65 cm. What is the wave speed?
It goes half a wavelength(.65meter) in 1/115 seconds
distance = rate * time
Half the wavelength is .325 but I am not getting the right answer
To find the wave speed, you need to use the formula:
Wave speed (v) = frequency (f) × wavelength (λ)
In this case, the given information is the frequency (f = 115 Hz) and the distance between the two walls (d = 65 cm). However, to find the wavelength, we need to take into account the mode of the standing wave.
In a standing wave, the wavelength can be determined by the relationship:
λ = 2d/n
Where n is the harmonic number or the mode of the standing wave. For the fundamental mode, n = 1.
Substituting the given values into the formula:
λ = 2 × 65 cm / 1
λ = 130 cm
Now, we have the frequency (f = 115 Hz) and the wavelength (λ = 130 cm).
Converting the wavelength to meters (since the standard unit for distance in physics is meters):
λ = 130 cm × (1 m / 100 cm)
λ = 1.3 m
Now we can use the formula for wave speed:
v = f × λ
v = 115 Hz × 1.3 m
v = 149.5 m/s
Therefore, the wave speed is 149.5 m/s.