The current san francisco cable railway is driven by two large 14-foot-diameter drive wheels, called sheaves. because of the figure-eight system used, the cable subtends a central angle of 270°on each sheave. find the length of cable riding on one of the drive sheaves at any given time.

Step-by-step explanation:

The problem is about a circular sector, where the angle is 270° and the lenght of the subtended arc is the arc is the unknown variable.

The radius of the drive wheel is

The central angle is 270°.

The length of the arc is

Replacing all values, we have

Thereofre, the length of the cable is around 32.97 feet.

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