A belt connects pulleys of diameter 2r and 2R with centres x apart. If r=20mm, R=120mm, and x=100*2^{1/2}mm, find the length L of the belt and the area of the region it encloses. Find the general expression for L in terms of r, R, x and Ø
A belt connects pulleys of diameter 2r and 2R with centres x apart. If r=20mm, R=120mm, and x=100*2^{1/2}mm, find the length L of the belt and the area of the region it encloses. Find the general expression for L in terms of r, R, x and Ø
The non-blue part of the pulley's path is $\frac{3}{4}$ of the length circumference of the large circle.
The length of the linear blue part is $20+20=40$.
The length along the small circle is $\frac{1}{4}$ of its circumference.
In both cases the central angle is a right angle.
ADD these three lengths to get a total.