Question

A harmonic oscillator vibrates with frequency of 4 HZ and an amplitude of 2cm.what is its maximum velocity?

Answer 1

$V_{max} = Aω \\ ω = 2 \pi f = 8 \pi \;rad/s \\ A = 2 \;cm = 0.02 \; m\\ V_{max} = 0.02 \times 8 \pi = 0.5 \;m/s = 16 \; \pi \; cm/s$