You are considering installing a pendulum in the amusement park visitor’s center. The time it takes a pendulum to complete a full cycle or swing depends upon the length of the pendulum. The formula is give by sa001-1.jpg, where T represents the time in seconds and L represents the length of the pendulum in feet.

a. If the pendulum is 8 feet long, how long will it take for the pendulum to complete a full cycle?

b. You’d like your pendulum to take 20 seconds to complete a cycle. How long will the pendulum need to be? Is this reasonable in your building, which is planned to be 20 feet

Question

You are considering installing a pendulum in the amusement park visitor’s center.  The time it takes a pendulum to complete a full cycle or swing depends upon the length of the pendulum.  The formula is give by sa001-1.jpg, where T represents the time in seconds and L represents the length of the pendulum in feet.

a.  If the pendulum is 8 feet long, how long will it take for the pendulum to complete a full cycle?

b.  You’d like your pendulum to take 20 seconds to complete a cycle.  How long will the pendulum need to be?  Is this reasonable in your building, which is planned to be 20 feet