Fatter tires, worth the trouble?
#201
Mad bike riding scientist
Join Date: Nov 2004
Location: Denver, CO
Posts: 27,341
Bikes: Some silver ones, a red one, a black and orange one, and a few titanium ones
Mentioned: 152 Post(s)
Tagged: 1 Thread(s)
Quoted: 6200 Post(s)
Liked 4,201 Times
in
2,357 Posts
Friction? Really? That one is a gimme. A spring? What pushes or pulls on a spring to give it force to exert?
You seem to be conflating force and the effect of the force. The density of air changes with temperature, but the mass of the air does not. Thinking about this should make clear to you the difference between the drag force depending on air density and the drag force depending on the mass of the air. But you'll probably try to dispute that, so feel free to show me the force diagram you are using to understand aerodynamic drag at a molecular level.
Finally, you need to study up on density. The density of the air does, indeed, change with temperature. But what is density? It is the mass of air contained in a certain volume. Generally speaking, we don't vary volume when talking about density...it makes the math more difficult. Something has to vary and since you have 2 choices...mass or volume...you are left with mass. When the density of air changes with temperature, it is indeed the mass of air that changes. Higher temperature, less mass. Lower temperature, more mass. Think, for example, nitrogen. At 20C, nitrogen 1.165 g/l. At the boiling point of nitrogen (-195C), the density is 800g/l. A liter is still a liter so the volume didn't change. The mass, on the other hand went up significantly.
__________________
Stuart Black
Plan Epsilon Around Lake Michigan in the era of Covid
Old School…When It Wasn’t Ancient bikepacking
Gold Fever Three days of dirt in Colorado
Pokin' around the Poconos A cold ride around Lake Erie
Dinosaurs in Colorado A mountain bike guide to the Purgatory Canyon dinosaur trackway
Solo Without Pie. The search for pie in the Midwest.
Picking the Scablands. Washington and Oregon, 2005. Pie and spiders on the Columbia River!
Stuart Black
Plan Epsilon Around Lake Michigan in the era of Covid
Old School…When It Wasn’t Ancient bikepacking
Gold Fever Three days of dirt in Colorado
Pokin' around the Poconos A cold ride around Lake Erie
Dinosaurs in Colorado A mountain bike guide to the Purgatory Canyon dinosaur trackway
Solo Without Pie. The search for pie in the Midwest.
Picking the Scablands. Washington and Oregon, 2005. Pie and spiders on the Columbia River!
#203
Senior Member
Join Date: Jan 2008
Location: Beaverton, OR
Posts: 14,742
Bikes: Yes
Mentioned: 525 Post(s)
Tagged: 0 Thread(s)
Quoted: 3230 Post(s)
Liked 3,865 Times
in
1,439 Posts
So do heavy wheels increase or decrease the force of my brakes relatively to how hard I squeeze the lever?
__________________
My Bikes
My Bikes
#204
Senior Member
Join Date: Feb 2011
Posts: 1,033
Bikes: I own N+1 bikes, where N=0.
Mentioned: 0 Post(s)
Tagged: 0 Thread(s)
Quoted: 35 Post(s)
Likes: 0
Liked 0 Times
in
0 Posts
No, we're not. You're forgetting that the air has no knowledge of the weight of the Bike/rider system, and applies the same force to both, and only an equal force, independent of the bike/rider system weight, must be applied in the opposite direction to maintain constant speed.
Last edited by Jaywalk3r; 10-21-14 at 05:18 PM.
#205
Mad bike riding scientist
Join Date: Nov 2004
Location: Denver, CO
Posts: 27,341
Bikes: Some silver ones, a red one, a black and orange one, and a few titanium ones
Mentioned: 152 Post(s)
Tagged: 1 Thread(s)
Quoted: 6200 Post(s)
Liked 4,201 Times
in
2,357 Posts
No, we're not. You're forgetting that the air has no knowledge of the weight of the Bike/rider system, and applies the same force to both, and only an equal force, independent of the bike/rider system weight, must be applied in the opposite direction to maintain constant speed.
If the force that the bicycle/rider express on the air is independent of the mass of the bicycle and rider, then a 40kg rider on an 8 kg bike should have the same speed for the same power output on a flat course as a 90kg rider on a 50kg bike. When has that ever happened in your life? I've never experienced that kind of joy.
__________________
Stuart Black
Plan Epsilon Around Lake Michigan in the era of Covid
Old School…When It Wasn’t Ancient bikepacking
Gold Fever Three days of dirt in Colorado
Pokin' around the Poconos A cold ride around Lake Erie
Dinosaurs in Colorado A mountain bike guide to the Purgatory Canyon dinosaur trackway
Solo Without Pie. The search for pie in the Midwest.
Picking the Scablands. Washington and Oregon, 2005. Pie and spiders on the Columbia River!
Stuart Black
Plan Epsilon Around Lake Michigan in the era of Covid
Old School…When It Wasn’t Ancient bikepacking
Gold Fever Three days of dirt in Colorado
Pokin' around the Poconos A cold ride around Lake Erie
Dinosaurs in Colorado A mountain bike guide to the Purgatory Canyon dinosaur trackway
Solo Without Pie. The search for pie in the Midwest.
Picking the Scablands. Washington and Oregon, 2005. Pie and spiders on the Columbia River!
#206
Mad bike riding scientist
Join Date: Nov 2004
Location: Denver, CO
Posts: 27,341
Bikes: Some silver ones, a red one, a black and orange one, and a few titanium ones
Mentioned: 152 Post(s)
Tagged: 1 Thread(s)
Quoted: 6200 Post(s)
Liked 4,201 Times
in
2,357 Posts
You tell me. Does a more massive object require more or less frictional force to stop? Does it take more force to slide (dry friction) a more massive object than a less massive object? Still haven't seen any "massless" forces yet. But I haven't seen a unicorn, Sasquatch or a demonstration of cold fusion, either. They inhabit the same realm.
__________________
Stuart Black
Plan Epsilon Around Lake Michigan in the era of Covid
Old School…When It Wasn’t Ancient bikepacking
Gold Fever Three days of dirt in Colorado
Pokin' around the Poconos A cold ride around Lake Erie
Dinosaurs in Colorado A mountain bike guide to the Purgatory Canyon dinosaur trackway
Solo Without Pie. The search for pie in the Midwest.
Picking the Scablands. Washington and Oregon, 2005. Pie and spiders on the Columbia River!
Stuart Black
Plan Epsilon Around Lake Michigan in the era of Covid
Old School…When It Wasn’t Ancient bikepacking
Gold Fever Three days of dirt in Colorado
Pokin' around the Poconos A cold ride around Lake Erie
Dinosaurs in Colorado A mountain bike guide to the Purgatory Canyon dinosaur trackway
Solo Without Pie. The search for pie in the Midwest.
Picking the Scablands. Washington and Oregon, 2005. Pie and spiders on the Columbia River!
#207
Senior Member
Join Date: Apr 2011
Location: Alpharetta, GA
Posts: 15,280
Bikes: Nashbar Road
Mentioned: 71 Post(s)
Tagged: 0 Thread(s)
Quoted: 2934 Post(s)
Liked 341 Times
in
228 Posts
Again, we have this issue of some kind of "massless" force. This time you've taken the mass of the bicycle and rider out of the equation. Any force applied by the bicycle/rider to the air is dependent on the mass of the bicycle and rider because the bicycle and rider are providing the motive force. You can't have force without mass. Period....
The mass in the drag equation, (rho) is the mass of the air. The air presents a force on the bicycle, and is not dependent at all on the mass of the bike. Overcoming air resistance at a constant velocity means applying a force against the mass of air. Changing your velocity requires an added force against the mass of you and your bike. Two different things: moving the air, changing velocity of the bike.
#208
Senior Member
Join Date: Jan 2008
Location: Beaverton, OR
Posts: 14,742
Bikes: Yes
Mentioned: 525 Post(s)
Tagged: 0 Thread(s)
Quoted: 3230 Post(s)
Liked 3,865 Times
in
1,439 Posts
Requiring more force and creating more force are two different things. Sliding a heavy object involves the object's mass because the weight of the object provides the normal force, but in the case of braking the normal force has nothing to do with the mass of the wheel or the brake.
__________________
My Bikes
My Bikes
#210
Senior Member
Join Date: Feb 2011
Posts: 1,033
Bikes: I own N+1 bikes, where N=0.
Mentioned: 0 Post(s)
Tagged: 0 Thread(s)
Quoted: 35 Post(s)
Likes: 0
Liked 0 Times
in
0 Posts
That's because the increased mass of the bike/rider system also causes the air resistance to have a smaller effect on the heavier bike/rider than it has on the lighter bike/rider system. This difference exactly offsets the effect of the increased bike/rider weight. When you do the math, the mass term cancels out on each side of the equation.
#211
Senior Member
Join Date: Feb 2011
Posts: 1,033
Bikes: I own N+1 bikes, where N=0.
Mentioned: 0 Post(s)
Tagged: 0 Thread(s)
Quoted: 35 Post(s)
Likes: 0
Liked 0 Times
in
0 Posts
So do heavy wheels increase or decrease the force of my brakes relatively to how hard I squeeze the lever?
#213
Senior Member
Join Date: May 2009
Location: Edgewater, CO
Posts: 3,213
Bikes: Tons
Mentioned: 0 Post(s)
Tagged: 0 Thread(s)
Quoted: 0 Post(s)
Likes: 0
Liked 0 Times
in
0 Posts
#214
Senior Member
Join Date: Feb 2011
Posts: 1,033
Bikes: I own N+1 bikes, where N=0.
Mentioned: 0 Post(s)
Tagged: 0 Thread(s)
Quoted: 35 Post(s)
Likes: 0
Liked 0 Times
in
0 Posts
#216
Senior Member
Join Date: Jan 2008
Location: Beaverton, OR
Posts: 14,742
Bikes: Yes
Mentioned: 525 Post(s)
Tagged: 0 Thread(s)
Quoted: 3230 Post(s)
Liked 3,865 Times
in
1,439 Posts
Ooooh, oooh! Have we gotten to the part of the discussion where we all start trotting out our degrees and work experience?!
__________________
My Bikes
My Bikes
#217
Senior Member
Join Date: Apr 2011
Location: Alpharetta, GA
Posts: 15,280
Bikes: Nashbar Road
Mentioned: 71 Post(s)
Tagged: 0 Thread(s)
Quoted: 2934 Post(s)
Liked 341 Times
in
228 Posts
I'm confident that everyone can understand this bit of science, if the right concepts are presented in a way that makes sense to us.
#218
Senior Member
Join Date: Feb 2011
Posts: 1,033
Bikes: I own N+1 bikes, where N=0.
Mentioned: 0 Post(s)
Tagged: 0 Thread(s)
Quoted: 35 Post(s)
Likes: 0
Liked 0 Times
in
0 Posts
#221
Senior Member
Join Date: Feb 2011
Posts: 1,033
Bikes: I own N+1 bikes, where N=0.
Mentioned: 0 Post(s)
Tagged: 0 Thread(s)
Quoted: 35 Post(s)
Likes: 0
Liked 0 Times
in
0 Posts
#222
Senior Member
Join Date: Feb 2014
Location: Kent Wa.
Posts: 5,332
Bikes: 2005 Gazelle Golfo, 1935 Raleigh Sport, 1970 Robin Hood sport, 1974 Schwinn Continental, 1984 Ross MTB/porteur, 2013 Flying Piegon path racer, 2014 Gazelle Toer Populair T8
Mentioned: 12 Post(s)
Tagged: 0 Thread(s)
Quoted: 396 Post(s)
Likes: 0
Liked 8 Times
in
7 Posts
#223
Senior Member
Join Date: Jan 2013
Location: Atlanta, GA. USA
Posts: 3,804
Bikes: Surly Long Haul Disc Trucker
Mentioned: 2 Post(s)
Tagged: 0 Thread(s)
Quoted: 1015 Post(s)
Likes: 0
Liked 1 Time
in
1 Post
Part of the reason we don't see that is that it will be very complex. Show the math for proving or disproving the wisdom of fat tires and include the air displaced, differences in rolling resistance, sidewall flex, and on and on and show how that's applicable to all bikes and riders or only some. Pretty hard to prove mathematically. It's easier to just expouse on your personal and unscientific beliefs. That's fine. But it's not physics.
#224
Senior Member
Join Date: Apr 2012
Location: Middle Earth (aka IA)
Posts: 20,433
Bikes: A bunch of old bikes and a few new ones
Mentioned: 178 Post(s)
Tagged: 0 Thread(s)
Quoted: 5887 Post(s)
Liked 3,470 Times
in
2,079 Posts
Wow, these guys are going at it in 2 different threads,
https://www.bikeforums.net/touring/97...ng-gruppo.html
https://www.bikeforums.net/touring/97...ng-gruppo.html
#225
Senior Member
Join Date: Feb 2011
Posts: 1,033
Bikes: I own N+1 bikes, where N=0.
Mentioned: 0 Post(s)
Tagged: 0 Thread(s)
Quoted: 35 Post(s)
Likes: 0
Liked 0 Times
in
0 Posts
Part of the reason we don't see that is that it will be very complex. Show the math for proving or disproving the wisdom of fat tires and include the air displaced, differences in rolling resistance, sidewall flex, and on and on and show how that's applicable to all bikes and riders or only some. Pretty hard to prove mathematically. It's easier to just expouse on your personal and unscientific beliefs. That's fine. But it's not physics.
I was actually referring to the discussion about how much energy is required to maintain speed of a heavy versus light bike (given identical surface area and shape of bike/rider systems) on flat, level ground. Only one poster seems to think it takes more energy to maintain speed on the heavier bike, and even the calculator to which he linked disagrees with him.
The format of Internet forums makes talking in math pretty inconvenient.