Loq.
Still it works. consider the vbelt in your car; the
sides travel farther than the center. there's probably
extra friction there without signifigant detriment
to function. I wonder how rubber to rubber would
work for a roller?
I'm not saying it won't work - what I'm saying is that it will be less efficient than a straight roller, and because of the differences in roller diameter (which, in a small drive roller, result in higher percentage difference in diameter than the wheel differences, and a resulting greater speed difference at different points on the roller.)
A V-belt is a little different. The belt only stretches a tiny bit on the outside part of the circumference. On the inside portion of the belt, it is compressed somewhat more, lengthwise. But, as the inner part of the belt is contained within the V channel of the pulley, when the inner portion is compressed lengthwise, it tends to spread out and grip the inner faces of the V-Channel in the pulley.
As to friction - a V-belt IS less efficient that a chain. (because there is some flexing of the belt.) A new belt, properly aligned and tensioned, is about 95% efficient, whereas a well aligned chain is upwards of 98% efficient.
When using a very small diameter pulley, the heat buildup induced by this flexing can be significant. You can reduce heat/improve efficiency by using a notched V-Belt. Granted, this does reduce the grip somewhat, but in many cases, it won't be an issue.
Also, note that when you compare the two images, the toothed v-belt is a little 'flatter' than a standard v-belt. This will reduce the differences in diameter, from inner surface to outer surface a little, which also reduces the flexing and resultant internal friction losses.