If a violin string vibrates at 1720Hz, what is the wavelength of the sound produced in the surrounding air? (assume T=20 degree Celsius and speed is 344m/s)
since it vibrates 1720 times in 344m, the wavelength is obviously
344m/s / 1720/s = 0.2m
To find the wavelength of the sound produced in the surrounding air, we can use the formula:
wavelength = (speed of sound) / (frequency)
Given:
Frequency (f) = 1720 Hz
Temperature (T) = 20 degrees Celsius = 293 K
Speed of sound (v) = 344 m/s
Let's calculate the wavelength.
First, we need to convert the temperature from Celsius to Kelvin.
Temperature in Kelvin (T) = 20 degrees Celsius + 273.15 = 293.15 K
Now we can calculate the wavelength:
wavelength = v / f
= 344 m/s / 1720 Hz
= 0.2 meters
Therefore, the wavelength of the sound produced in the surrounding air is 0.2 meters.
To find the wavelength of a sound wave, we can use the formula:
wavelength = speed of sound / frequency
Given:
Frequency (f) = 1720 Hz
Speed of sound (v) = 344 m/s
We need to convert the speed of sound to the same unit as the frequency, which is Hz. To do this, we need to convert the temperature from °C to Kelvin (K) using the formula K = °C + 273.15.
Given:
Temperature (T) = 20 °C
Converting T to K:
T = 20 + 273.15 = 293.15 K
Now, let's calculate the wavelength:
wavelength = v / f
= 344 m/s / 1720 Hz
= 0.2 m
Therefore, the wavelength of the sound produced in the surrounding air is 0.2 meters.