Answer :
Final answer:
The frequency at which an object vibrates is closely related to its natural frequency, which is the frequency of vibration when no external forces affect it. Objects vibrate most efficiently at their natural frequency, and the relationship between frequency, wavelength, and speed of propagation of waves (vw = fλ) is critical to understanding how to compute frequency and period of oscillations.
Explanation:
In general, the frequency at which an object vibrates is intimately linked to its natural frequency. Natural frequency is the frequency at which a system vibrates when it undergoes forced vibration without any external driving forces or damping. When you sit in front of a piano and sing a loud note, the piano strings resonate and oscillate at their natural frequency, the same frequency as your voice. This phenomenon exemplifies how an object can be forced to oscillate by a periodic driving force which transfers energy to the system, potentially at a different frequency than the natural frequency.
However, an object vibrates most efficiently at its natural frequency. It's important to understand that the speed of sound is nearly independent of frequency within the audible range (20 to 20,000 Hz), meaning that all sounds travel at approximately the same speed through a given medium. This is why music from a marching band sounds in sync regardless of the listener's distance from the band.
The relationship between frequency (f), speed of propagation (vw), and wavelength (λ) is given by the equation vw = fλ. This equation shows that a higher frequency results in a shorter period, since the frequency is the number of cycles per second (measured in Hertz, Hz). Understanding this relationship helps us to compute the frequency and period of an oscillation, providing insight into the oscillatory behavior of various systems, from musical instruments to car suspensions.
In general s the wavelength of the vibration decreases, the frequency of the object increases and vice versa.
What is frequency?
This is the number of complete cycles per second made by a vibrating particle.
The frequency of a wave is calculated as follows;
[tex]v = f\lambda\\\\
f = \frac{v}{\lambda} [/tex]
where;
- f is the frequency of the wave
- v is the speed of the wave
- λ is the wave length
Generally, as the wavelength of the vibration decreases, the frequency of the object increases and vice versa.
Learn more about frequency here: https://brainly.com/question/25699025
