  Since Galileo's time, the pendulum has evolved into one of the most exciting
physical objects in mathematical modeling due to its vast range of applications
for studying various oscillatory dynamics, including bifurcations and chaos,
under various interests. This well-deserved focus aids in comprehending various
oscillatory physical phenomena that can be reduced to the equations of the
pendulum. The present article focuses on the rotational dynamics of the
two-dimensional forced damped pendulum under the influence of the ac and dc
torque. Interestingly, we are able to detect a range of the pendulum's length
for which the angular velocity exhibits a few intermittent extreme rotational
events that deviate significantly from a certain well-defined threshold. The
statistics of the return intervals between these extreme rotational events are
supported by our data to be spread exponentially. The numerical results show a
sudden increase in the size of the chaotic attractor due to interior crisis
which is the source of instability that is responsible for triggering large
amplitude events in our system. We also notice the occurrence of phase slips
with the appearance of extreme rotational events when phase difference between
the instantaneous phase of the system and the externally applied ac torque is
observed.
