the length l cm of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillation ),T seconds. A pendulunm with a length of 220.5cm has a period of 3s find the equation connecting l and t

L = kT^2

Now plug in your numbers

wth is this even an answer

For home work and for learning

Very well

To find the equation connecting the length of the simple pendulum (l) and its period (T), we can use the proportional relationship given: "the length (l) is directly proportional to the square of the period (T)."

Let's denote the constant of proportionality as k. According to the given information, we have:

l ∝ T^2

We can rewrite this proportionality as an equation by introducing the constant of proportionality:

l = k * T^2

To find the value of k, we can substitute the given values into the equation. We know that when l = 220.5 cm, T = 3 s. Substituting these values:

220.5 = k * 3^2

Simplifying the equation:

220.5 = k * 9

Now we can solve for k by dividing both sides by 9:

k = 220.5 / 9

k = 24.5

Therefore, the equation connecting the length of the simple pendulum (l) and its period (T) is:

l = 24.5T^2