Time to swing. The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=n ^2 L. If a child is on a swing with a 10 foot chain, then how long does it take to complete one cycle of the swing?

Thanks

n is not defined in your formula.

you have 3 variables in your equation , but supply the value of only one of them.

no can do!!

To find the time it takes for one cycle of the swing, we can use the given formula:

8T^2 = n^2 L

In this case, the length of the pendulum (L) is given as 10 feet. We need to find the value of T.

Let's rearrange the equation to solve for T:
T^2 = (n^2 L) / 8

Now substitute the values into the equation:
T^2 = (1^2 * 10) / 8
T^2 = 10 / 8
T^2 = 1.25

To solve for T, take the square root of both sides of the equation:
T = √(1.25)

Calculating the square root of 1.25, we find:
T ≈ 1.12 seconds

Therefore, it takes approximately 1.12 seconds for the child on the swing to complete one cycle.