a student plucks a guitar string and the vibrations produce a sound wave with a freuency of 650 hertz.
Calculate the wavelength of the sound wave in air at STP.
the speed of sound in stp is 331 m/s, wavelength = velocity / frequency.
331m/s divided by 650 hertz is around 0.509 meters
To find the wavelength of a sound wave in air at STP (Standard Temperature and Pressure), we can use the formula:
wavelength = speed of sound / frequency
At STP, the speed of sound in air is approximately 343 meters per second.
Substituting the given frequency of 650 Hz into the formula, we can calculate the wavelength:
wavelength = 343 m/s / 650 Hz
Now, we need to convert Hz (Hertz) to s^-1 (seconds inverse) in order for the units to cancel out:
650 Hz = 650 s^-1
Now we can calculate the wavelength:
wavelength = 343 m/s / 650 s^-1
To divide by a fraction, we can multiply by the reciprocal. So:
wavelength = 343 m/s * (1 / 650 s^-1)
Simplifying this calculation:
wavelength = 0.527 m
Therefore, the wavelength of the sound wave in air at STP is approximately 0.527 meters.
To calculate the wavelength of a sound wave in air at STP (Standard Temperature and Pressure), you can use the formula:
Wavelength = Speed of Sound / Frequency
where the speed of sound at STP is approximately 343 meters per second.
Step 1: Identify the given values:
Frequency = 650 Hz
Speed of Sound at STP = 343 m/s
Step 2: Substitute the values into the formula:
Wavelength = 343 m/s / 650 Hz
Step 3: Calculate the wavelength:
Wavelength ≈ 0.528 m (rounded to 3 decimal places)
Therefore, the wavelength of the sound wave produced by the guitar string is approximately 0.528 meters.