A continuous belt of length L m passes over two wheels of radii r and R m with their centres a distance l m apart, as illustrated in Figure 1.32. The belt is sufficiently tight for any sag to be negligible. Show that L is given approximately by

Find the error inherent in this approximation and obtain error bounds for L given the rounded data R = 1.5, r = 0.5 and l = 3.5.

Figure 1.32.

Transcribed Image Text:

L=2[1 (R - r)]/ + (R + r)