A mass of 50g is attatched with one end of a spring o spring constant 10Nm^-1 whose other end is tied with a wall.Find the period and frequency of its oscillation.

Respuesta :

Answer:

T = 0.444 sec

f = 2.25 Hz

Explanation:

Mass of the object = m = 50g = 0.05 kg

Spring constant = k = 10N/m

The time period of mass attached to a spring is calculated as:

[tex]T=2\pi\sqrt{\frac{m}{k} }[/tex]

Using the values in the formula, we get:

[tex]T=2\pi\sqrt{\frac{0.05}{10} }=0.444[/tex]

Thus the time period is 0.444 sec.

Frequency is the reciprocal of the time period.

[tex]f=\frac{1}{T}\\\\ f=\frac{1}{0.444} =2.25[/tex]

Thus the frequency of oscillation is 2.25 Hertz