Find answers to your questions and expand your knowledge with IDNLearn.com. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.
Sagot :
The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
What is time period of pendulum?
Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.
The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.
The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,
[tex]d = 11 \cos\left( \dfrac{8\pi}{5}t\right)[/tex]
At the maximum position, the time period is zero. Thus,
[tex]\dfrac{8\pi}{5}t=0\\t=0[/tex]
At the minimum position, the period equal to the π. Thus,
[tex]\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625[/tex]
This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,
[tex]t=0.625+0.625\\t=1.25\rm\; s[/tex]
Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Learn more about the time period of pendulum here;
https://brainly.com/question/3551146
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.