The pendulum of a grandfather clock swings from one side to the other in 1.00 s. The amplitude of the oscillation is 12 cm.
a. Calculate:
i. The period of its motion
ii. The frequency
iii. The angular frequency.
b. Write an equation of the form a = −ω²x to show how the acceleration of the pendulum bob depends on its displacement.
c. Calculate the maximum speed of the pendulum bob.
d. Calculate the speed of the bob when its displacement is 6 cm.