In what time t will the pendulum perform n = 20 oscillations if the oscillation period is T = 0.5 s?

In what time t will the pendulum perform n = 20 oscillations if the oscillation period is T = 0.5 s? what is the vibration frequency?

N = 20.

T = 0.5 s.

v -?

t -?

The oscillation period T is the time of one complete oscillation. To find the period of oscillations T, it is necessary to divide the time of all oscillations t by their number N: T = t / N.

The time t during which the oscillations were made will be the product: t = N * T.

t = 20 * 0.5 s = 10 s.

The frequency of oscillations v is the number of oscillations per unit of time, that is, in 1 second.

The frequency v is determined by the formula: v = N / t. As you can see from the formula, the frequency v is inversely proportional to the oscillation period T: v = 1 / T.

v = 1 / 0.5 s = 2 Hz.

Answer: the oscillation frequency of the pendulum is v = 2 Hz, the oscillation time is t = 10 s.