What areball bearingsused for

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Ballbearing definition

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I would add that if the ball were between two plane surfaces, the relative velocity $v$ between them would determine the angular velocity of the ball with radius $r$: $r\omega = v$.

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How do ball bearingsreduce friction

My short explanation is that a ball bearing allows us to trade a coefficient of kinetic friction for a coefficient of rolling resistance, and coefficients of rolling resistance are typically much smaller than coefficients of kinetic friction.

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My simple understanding is that balls roll without slipping along both the inner and outer radius of the bearing. This would produce no resistance on the axle if it weren't for the rolling resistance of the balls. Thus, the only torque passed on to the axis is proportional to the load the balls are under times their coefficient of rolling resistance. The alternative would be the axle rubbing against the shaft, which would be proportional to load times coefficient of kinetic friction which would be much larger.

How do ball bearings workphysics

But with the ball between 2 circles of different diameters (inner and outer race), there is a relative angular velocity between them. In the formula $r\omega = v$, the tangential velocity of the ball is the same for both races.

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How do bearings workon a shaft

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Because (as you point out) you can make the coefficient of rolling friction practically as small as you want, and geometrically enforce the no-slip condition by the design of the bearing balls and races, this also means that the bearing will not wear out by scuffing material off of the sliding surfaces as happens in a plain bearing in which one sliding surface is chosen to be softer than the other and thereby takes all the wear- and requires replacement.

How do bearings workmaths

How do ball bearings workanimation

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How do bearings workdirection

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In fact, as a brand-new ball bearing rotates its primary frictional loss mechanism is the stirring of the oil inside it (and not from the balls and races themselves). These are called windage losses.

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If there is no slide in the inner race, there will be some slide in the outer race because, for a given angular displacement of the ball, the length of contact in the latter is bigger than in the former.

I am trying to develop a simple conceptual explanation for why ball bearings are so effective, but I am not sure if I am on the right track.

Even if one of the big ball or roller bearings as used on the crankshaft of a Suzuki GS1000 racing motorcycle engine loses its lubrication source in the course of a race, the "dry-running" bearing will still last long enough to finish the race whereas a plain main bearing run dry at 14,000 RPM would burn up and catastrophically sieze after a few miles.