High School

We appreciate your visit to A trapeze artist swings in simple harmonic motion with a period of 3 1 s The acceleration of gravity is tex 9 81 text m. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A trapeze artist swings in simple harmonic motion with a period of 3.1 s. The acceleration of gravity is [tex]9.81 \, \text{m/s}^2[/tex]. Calculate the length of the pendulum if the mass of the artist is 60 kg.

Answer :

The length of the pendulum is approximately 2.38 meters.

The formula for the period of a simple harmonic motion is:

T = 2π √(l/g)

where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity.

Given that T = 3.1s and g = 9.81 m/s², we can rearrange the formula to solve for l:

l = (T/2π)² * g

l = (3.1/2π)² * 9.81

l = (0.49238)² * 9.81

l = 0.24239 * 9.81

l = 2.38

Therefore, the length of the pendulum is approximately 2.38 meters.

Thanks for taking the time to read A trapeze artist swings in simple harmonic motion with a period of 3 1 s The acceleration of gravity is tex 9 81 text m. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada