Question
A simple pendulum is found to vibrate at a frequency of $0.5 \mathrm{~Hz}$ in a vacuum and $0.45 \mathrm{~Hz}$ in a viscous fluid medium. Find the damping constant, assuming the mass of the bob of the pendulum as $1 \mathrm{~kg}$.
Step 1
We use the formula $\omega_1 = 2\pi f_1$, where $f_1$ is the frequency in vacuum. Substituting $f_1 = 0.5 \mathrm{Hz}$, we get $\omega_1 = 2\pi \times 0.5 = 3.142 \mathrm{rad/s}$. Show more…
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