Question

How long must a simple pendulum be if it is to make exactly one swing per second? (That is, one complete vibration takes exactly 2.0 s.)

Answer 1

Oscillation is a type of periodic motion which repeats itself to and from about a point which is called mean position. The period of a Pendulum can be described as a ratio between the length and gravity as,

$T = 2\pi \sqrt{\frac{L}{g}}$

Here,

L = length

g = Gravity

If we rearrange  to find the length we have that,

$L = \frac{T^2g}{4\pi^2}$

Our period is 2s and the gravity is 9.8m/s^2, then,

$L = \frac{(2)^2(9.8)}{4\pi^2}$

$L = 0.9929m$

The simple required length of the pendulum must be 0.9929m