Grok says:

Yes. In rotational motion, every point on a rigid fan blade has the same angular speed ω\omega\omega (radians per second), but the linear (tangential) speed is v=ωrv = \omega rv = \omega r, where (r) is the radial distance from the axis of rotation. Because the tip has the largest (r), it has the highest linear speed. Points closer to the hub have smaller (r) and therefore move more slowly.

It's all just one blade, so, for me, tangerine /omega3 fatty acid /RV radial tire = mind blown

This is why some helicopter's main rotor blades have angled/swept tips. As the angular speed increases, the tangential velocity at the blade tip approaches Mach 1, lift is reduced (drag increased), increasing power requirements, it causes degraded efficiency and can cause unwanted vibration. It also increases noise.

Good example: Republic XF-84H Thunderscreech

I can't address helicopter blades, but fan blades are very familiar.

Easy example?
Lie on your back under your ceiling fan. Assume for the sake of this example that the "inner" end of the blade is 5" from the center of the assembly, and the tip of the blade is 21" away.

Now measure the distance each of those points travels in one revolution.

One revolution yields a travel equal to 1x the circumference. So the 5-inch-away point travels 31.4 inches in one revolution, while the 21-inch-away point travels 131.9 inches.
(Diameter is 2x the radius... Pi x 5 x 2 = 31.4 and Pi x 21 x 2 = 131.9)

Both points take the same amount of time to make one revolution --> distance divided by time = speed --> the "far end" inherently has to travel faster than the "near end."

Whew. That was way easier than that whole omega 3s vs RV tires thing!

Rotational or angular speed is the same for any given blade regardless of the distance on the blade from the axis of rotation.

The linear or tangential speed increases with distance from the axis of rotation. As the distance from the axis increases, the distance or circumference traveled for a given rotation also increases. So the linear speed must also be higher than for points closer to the axis. One rotation, longer circumference requires higher speed.

Yeah. What konata said.

I like pancakes

distance/time

outside of blade going much farther distance in the same amount of time

Too true. This principle underlies the formation of oxbow lakes.

I was watching something about this the other day.
It was in regards as to why prop driven planes are speed restricted.
The tips of the props go supersonic and disrupts everything.

On the same principle:

For those who grew up in a simpler time, consider the playground merry-go-round. Stand inside the platform and one could hang on for a long time.

The trick was hanging on to the outer bars, and then having the guts to let your feet go ever further out -- until maybe your feet were pulled off the ground. Of course this was loads of fun to watch when the big kids were pushing the merry-go-round as fast as they could, and the little kids were getting flung off into the gravel playground surface. Ah, those were the days.

Same goes for cutting tools such as drill bits. A larger diameter drill bit should be spun at a lower rpm than a small one so the cutting edge isn’t overworked and therefore overheated. All the young guys chuck in a big bit and blast away. Lucky to finish one hole with a $20 drill bit. They look at me like I’m making stuff up when I try to explain why the bit failed.

On my buffing motor the 6" buffs are way faster than 3"ers.

I reject this reality and divide by zero.

A CD player uses linear speed and 8 to 14 modulation.

After reading the TOC file, it will spin more than twice as fast to play the final song.

If ACIRSC is used, it can hold twice the capacity.

They can also have both sides readable.

The fan’s blades are stationary. Everything else revolves around the blades.

Really want your mind blown? While you are standing on the surface of the earth your velocity due to the earths rotation is > 1000 mph.

What if I'm sitting?

quote:

Originally posted by trapper189:
The fan’s blades are stationary. Everything else revolves around the blades.

IT'S THE ONLY THING THAT MAKES SENSE.

My buffing motor is configured like most grinders, the buffs are vertical not horizontal.