SOLUTION: A rope is tightly around two pulleys. What is the distance between the centers of the pulleys if the radii of the bigger and smaller pulleys are 10cm and 6 cm, respectively, and th

Algebra ->  Circles -> SOLUTION: A rope is tightly around two pulleys. What is the distance between the centers of the pulleys if the radii of the bigger and smaller pulleys are 10cm and 6 cm, respectively, and th      Log On


   

Question 1175081: A rope is tightly around two pulleys. What is the distance between the centers of the pulleys if the radii of the bigger and smaller pulleys are 10cm and 6 cm, respectively, and the portion of the rope tangent to the pulleys is 50cm long?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52765) About Me  (Show Source):
You can put this solution on YOUR website!
.

This problem was just solved under this link

https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.1053192.html

https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.1053192.html

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Unfortunately, the solution by tutor @MathTherapy is Incorrect.

In this problem, the "given" are the legs of the right angled triangle, and the unknown value is the length of the hypotenuse.

Strictly follow to my links to the solution from my lesson.




Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
A rope is tightly around two pulleys. What is the distance between the centers of the pulleys if the radii of the bigger and smaller pulleys are 10cm and 6 cm, respectively, and the portion of the rope tangent to the pulleys is 50cm long?
.

Let distance between centers of pulleys be D

Then BC is also, D

We then get:  

Distance between the centers of the pulleys, or 



Tutor @IKLEYN is CORRECT. Her solution is CORRECT, and mine is NOT. Follow HERS!