Question

A humming bird feeder is tied by a rope to a tree branch. You notice that in a gentle breeze, the feeder moves back and forth 15 times in 1 minute. How long is the rope?

Answer 1

With the fifteen cycles in one minute, you can first get the frequency of this pendulum which is in cycles per second or 1/4. Frequency is 1/ period so your period length is 4 you then use the period length of a pendulum equation solving for length. (equation: Period Length = 2
`\pi`
`\sqrt{(Length)/(Gravity) }`. The length of the rope is 3.97 or about 4 meters. ( the question never asked what unit the rope is measured in, but I'm assuming it wanted meters)