Answer:
Spring Constant K=9290.9550 N/m
Explanation:
Formula we are going to use is:
[tex]2\pi f=\sqrt{\frac{K}{m}}[/tex]
Where:
f is the frequency
K is the spring constant
m is the mass
Given:
Mass of spring oscillator=m=0.206 kg
Resonance Frequency=f=33.8 Hz
Find:
Spring Constant=K=?
Solution:
From Above formula:
Taking Square on both sides
[tex]4(\pi)^2f^2=\frac{K}{m} \\K=4(\pi)^2f^2*m\\K=4(\pi)^2(33.8)^2*(0.206)\\K=9290.9550 N/m[/tex]
Spring Constant K=9290.9550 N/m
