Asked by zaido
The centers of three pulleys are located at the vertices of a right triangle whose sides are 5 inches, 12 inches, and 13 inches. The radii of the pulleys are 1 inch (located opposite of the 12inches side), 2 inches (located opposite to the 13inches side), and 3 inches. Find the length of the belt that wraps around all three pulleys.
Answers
Answered by
oobleck
There is a handy video at
www.youtube.c om/watch?v=qfZAFQ4so9c
If the two pulleys have radii r and R, and their centers ar separated by a distance D, then the length of belt needed is
2√(L^2 - (R-r)^2) + 2(R+r)θ
where cosθ = (R-r)/L
Now, you have three pulleys, so you will have to adjust things a bit, but the video should make it clear how to do that. Post your work if you get stuck.
www.youtube.c om/watch?v=qfZAFQ4so9c
If the two pulleys have radii r and R, and their centers ar separated by a distance D, then the length of belt needed is
2√(L^2 - (R-r)^2) + 2(R+r)θ
where cosθ = (R-r)/L
Now, you have three pulleys, so you will have to adjust things a bit, but the video should make it clear how to do that. Post your work if you get stuck.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.