The pendulum reaches the maximum speed at the lowest point of its movement and the elongation at this point is zero (x = 0). The equation of speed should be applied as a function of the elongation, which is shown below:
V = ± w √ (A^2 - x^2)
We know that the elongation is 0 (x = 0), so the previous equation is as follows:
V = ± w x A
w = 2π/ T
V: speed.
w: angular speed.
A: amplitude.
T: period.
Let's proceed to calculate the angular speed:
w = 2π/ 3.0 s
w = 2.09 rad/s
We already know the value of the angular speed and the amplitude, so we can calculate the maximum speed of the pendulum, which results in:
V = 0.0209 m/s
