The velocity of a wave (v) is given by the equation:
v = λ * f
where: v is the velocity of the wave, λ (lambda) is the wavelength of the wave, and f is the frequency of the wave.
To find the period (T) of the wave, we can use the equation:
T = 1 / f
where: T is the period of the wave, and f is the frequency of the wave.
Given that the velocity of the wave (v) is 360 m/s and the wavelength (λ) is 120 cm, we need to convert the wavelength from centimeters to meters:
λ = 120 cm * (1 m / 100 cm) = 1.2 m
Now, we can rearrange the equation v = λ * f to solve for the frequency (f):
f = v / λ
Plugging in the given values:
f = 360 m/s / 1.2 m f = 300 Hz
Finally, we can calculate the period (T) using the equation T = 1 / f:
T = 1 / 300 Hz T ≈ 0.0033 s
Therefore, the period of the wave is approximately 0.0033 seconds.