180k views
3 votes
A person in a rocking chair completes 11 cycles in 19 s. What is the period of the rocking chair? T=?

User Quasdunk
by
7.6k points

1 Answer

5 votes

Final answer:

The period of the rocking chair, which completes 11 cycles in 19 seconds, is approximately 1.727 seconds.

Step-by-step explanation:

The period of an oscillation is the time it takes to complete one cycle. In the case of the rocking chair, if a person completes 11 cycles in 19 seconds, we can find the period by dividing the total time of the oscillations by the number of cycles. Therefore, the period T is calculated by T = total time / number of cycles.

Using the given numbers from the question, T equals 19 seconds divided by 11 cycles, which is approximately:

T = 19s / 11 = 1.727s (rounded to three decimal places)

So, the period of the rocking chair is approximately 1.727 seconds.

User Andreofthecape
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.