You observe that a mass suspended by a spring takes 0.25 s to make a full oscillation. What is the frequency of this oscillation? What is its period? What is the oscillation's angular frequency?

Respuesta :

Answer:

Frequency of oscillation, f = 4 Hz

time period, T = 0.25 s

Angular frequency, [tex]\omega = 25.13 rad/s[/tex]

Given:

Time taken to make one oscillation, T = 0.25 s

Solution:

Frequency, f of oscillation is given as the reciprocal of time taken for one oscillation and is given by:

f = [tex]\frac{1}{T}[/tex]

f = [tex]\frac{1}{0.25}[/tex]

Frequency of oscillation, f = 4 Hz

The period of oscillation can be defined as the time taken by the suspended mass for completion of one oscillation.

Therefore, time period, T = 0.25 s

Angular frequency of oscillation is given by:

[tex]\omega = 2\pi \times f[/tex]

[tex]\omega = 2\pi \times 4[/tex]

[tex]\omega = 25.13 rad/s[/tex]