The ball on the thread made 10 complete vibrations in 5 seconds. what are the period and frequency of oscillations equal to?

These tasks: t (duration of oscillations of the ball on the thread) = 5 s; n (the number of complete vibrations of the ball) = 10 vibrations.

1) The period of oscillation of the considered ball on the thread: T = t / n = 1 / ν = 5/10 = 0.5 s.

2) The oscillation frequency of the ball: ν = n / t = 1 / T = 10/5 = 2 Hz.

Answer: The ball on the thread oscillates with a period of 0.5 s; its oscillation frequency is 2 Hz.