The mathematical pendulum makes 100 oscillations in 314 seconds. Determine the oscillation period of the pendulum

The mathematical pendulum makes 100 oscillations in 314 seconds. Determine the oscillation period of the pendulum, the oscillation frequency and the length of the pendulum’s thread.

N = 100
t = 314

T, v, l -?

Oscillation period:
T = N / t = 314/100 = 3.14 (s)

Oscillation frequency:
v = 1 / T = 0.31 (Hz)

Pendulum length:
T = 2pi √ (l / g)
l = (g * T ^ 2) / (4 * (pi) ^ 2)
l = 10 * 3.14 ^ 2/4 * 3.14 ^ 2 = 10/4 = 2.5 (m)

Answer: T = 3.14 (s), v = 0.31 (Hz), l = 2.5 (m)