On Earth, a simple pendulum of length $1.2\,\text{meters}$, mass of $3\,\text{kg}$, and amplitude of $10$ degrees oscillates back and forth. Calculate:

Question

On Earth, a simple pendulum of length $1.2\,\text{meters}$, mass of $3\,\text{kg}$, and amplitude of $10$ degrees oscillates back and forth. Calculate:(a) The angular frequency ($\omega$) of the oscillation.
, (b) The period ($T$) of oscillation.
, (c) The maximum speed of the pendulum.
, (d) The maximum acceleration of the pendulum.
, (e) The pendulum is brought to an Exoplanet to determine the acceleration of gravity. Careful measurements indicate the frequency of oscillation is $2.3\,\text{Hz}$. What is the acceleration due to gravity on this Exoplanet?
:

Rachel · Accepted Answer

$2.86\,\text{rad/s}$
$2.20\,\text{s}$
$0.60\,\text{m/s}$
$1.71\,\text{m/s^{2}}$
$2.5\times 10^{2}\,\text{m/s^{2}}$

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