The length of time ( t ) in seconds it takes the pendulum of a clock to swing through one complete cycle is given by the formula t = 2 π √ l 32 where l is the length, in feet, of the pendulum, and π π is approximately 22/7 . how long must the pendulum be if one complete cycle takes 9 seconds? in feet

3.24 feet.

Step-by-step explanation:

We have been given that length of time ( T ) in seconds it takes the pendulum of a clock to swing through one complete cycle is given by the formula , where, L is the length, in feet, of the pendulum.

To find the length of pendulum, we will substitute in the given formula as:

Divide both sides by 2:

Substitute :

Multiply both sides by :

Square both sides:

Switch sides:

Therefore, the length of the pendulum is approximately 3.24 feet.

22

step-by-step explanation: