What is the maximum speed of the pendulum?

Question

A simple pendulum consists of a 50-gram mass connected to a string of length 80 cm. The mass pulled to the side, raising it 15 cm above its rest position. The mass is released and undergoes simple harmonic motion. What is the maximum speed of the pendulum?

Answer 1

For a pendulum, the maximum speed is when the pendulum is at the bottom of its swing so x=0. The function for velocity of a pendulum is v=ω√x₀²-x². Angular velocity (ω) = 2π/T and T = √l/g. Therefore we can find the velocity which I got as ≈.53 m/s, but you can plug in your numbers and see what you get.