Question

What is the frequency of oscillation for a spring-mass system if the spring constant is 250 N/m and the mass hanging from the spring is 25kg?

• A. 10 Hz
• B. 0.10 Hz
• C. 0.50 Hz
• D. 2.0 Hz
• E. 3.2 Hz

Answer 1

Answer: (C)

0.50 Hz

Given : $m=25$ kg $k=250$ N/m

Frequency of oscillation $f=\frac{1}{2\pi }\sqrt{\frac{k}{m}}$

$⟹$ $f=\frac{1}{2\pi }\sqrt{\frac{250}{25}}=\frac{1}{2\pi }\times 3.16=0.50$ Hz