1)The annoying sound from a mosquito is produced when it beats its wings at the average rate of 600 wingbeats per seconds. What is the wavelength? The speed sound in the air is 340 m/s.
I am not sure if I have to divide 600 by 340 to get 1.76 or do I divide 340 by 600 to get 0.567?
Wave Speed = (wavelength) x (frequency)
Therefore
Wavelength = (Wave speed)/(frequency
= (340 m/s)/600 s^-1 = 0.567 m
To find the wavelength, you need to divide the speed of sound by the frequency of the mosquito's wingbeats.
Given:
- Frequency (f) = 600 wingbeats per second
- Speed of sound (v) = 340 m/s
The formula to calculate wavelength (λ) is:
λ = v / f
Substituting the given values into the formula:
λ = 340 m/s / 600 wingbeats per second
To properly divide these units, you need to:
1) Convert 600 wingbeats per second to hertz (Hz) since the speed of sound is given in m/s.
2) Perform the division to find the wavelength.
Converting wingbeats per second to hertz:
1 wingbeat = 1 cycle
1 Hz = 1 cycle per second
Therefore,
600 wingbeats per second = 600 Hz
Now, you can substitute the new frequency value into the formula:
λ = 340 m/s / 600 Hz
Divide 340 m/s by 600 Hz to get the value of the wavelength.