Length of a tight belt passing around two pulleys of different radii
Length of a tight belt passing around two pulleys of different radii
IB Year 6 | Grade 12
6 marks
Two circular pulleys have centres \(A\) and \(B\) and radii \(7\text{ cm}\) and \(3\text{ cm}\) respectively. The distance \(AB\) is \(15\text{ cm}\). A tight belt passes around both pulleys, and its two straight sections are common tangents to the circles, as shown in the diagram.
Find the total length of the belt.[6]
Solution:
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Answer:\(62.5\text{ cm}\) (3 s.f.)
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