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Does rolling friction increase speed of a wheel?
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$begingroup$
I know there are a lot of questions about rolling friction, but I couldn't find any that addressed my specific problem.
Note the following picture where the wheel rotates clockwise. The rolling friction force $vec{F}_R$ points in the same direction as the rotation.
Normally, rolling friction inhibits the movement (speed $vec{v}$) of the system. However, since the force is pointing in the "backward" direction, it looks like it is increasing the speed of the wheel. Therefore, it should accelerate the system. This seems unintuitive to me. Can someone please clarify this contradiction?
Thanks!
newtonian-mechanics friction
New contributor
$endgroup$
add a comment |
$begingroup$
I know there are a lot of questions about rolling friction, but I couldn't find any that addressed my specific problem.
Note the following picture where the wheel rotates clockwise. The rolling friction force $vec{F}_R$ points in the same direction as the rotation.
Normally, rolling friction inhibits the movement (speed $vec{v}$) of the system. However, since the force is pointing in the "backward" direction, it looks like it is increasing the speed of the wheel. Therefore, it should accelerate the system. This seems unintuitive to me. Can someone please clarify this contradiction?
Thanks!
newtonian-mechanics friction
New contributor
$endgroup$
add a comment |
$begingroup$
I know there are a lot of questions about rolling friction, but I couldn't find any that addressed my specific problem.
Note the following picture where the wheel rotates clockwise. The rolling friction force $vec{F}_R$ points in the same direction as the rotation.
Normally, rolling friction inhibits the movement (speed $vec{v}$) of the system. However, since the force is pointing in the "backward" direction, it looks like it is increasing the speed of the wheel. Therefore, it should accelerate the system. This seems unintuitive to me. Can someone please clarify this contradiction?
Thanks!
newtonian-mechanics friction
New contributor
$endgroup$
I know there are a lot of questions about rolling friction, but I couldn't find any that addressed my specific problem.
Note the following picture where the wheel rotates clockwise. The rolling friction force $vec{F}_R$ points in the same direction as the rotation.
Normally, rolling friction inhibits the movement (speed $vec{v}$) of the system. However, since the force is pointing in the "backward" direction, it looks like it is increasing the speed of the wheel. Therefore, it should accelerate the system. This seems unintuitive to me. Can someone please clarify this contradiction?
Thanks!
newtonian-mechanics friction
newtonian-mechanics friction
New contributor
New contributor
New contributor
asked 4 hours ago
user223687user223687
162
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3 Answers
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$begingroup$
Rolling wheels do not pivot about their centers. They pivot about the contact point with the floor, or in the case of deformation the centerline of the contact.
Move the center of rotation down by $R$ and reevaluate your torques; I think you will find they operate opposite of rotation.
$endgroup$
$begingroup$
If I use R as the center of rotation, $vec{F}_R$ will not cause any torque!? Can you provide a sketch or a free body diagram? Intuitively, it makes sense, that the rolling resistance slows down the speed $vec{v}$, but I don't get the direction of the vector in terms of rotational direction.
$endgroup$
– user223687
6 mins ago
add a comment |
$begingroup$
The force pointing backwards is not increasing the SPEED...rather it is increasing its ANGULAR SPEED.
If you want a condition where rolling friction increases the SPEED, consider the condition when a rotating ring (or any other object capable of rolling) is kept on a surface. In that case the rolling friction will try to nullify the speed of the point of contact by increasing the SPEED and decreasing the ANGULAR SPEED until
Rw=v...where w is the angular velocity, v is the speed and R is the radius.
The diagram which you have given corresponds to the opposite case. Here, the object is given only a SPEED without ANGULAR SPEED. So, the force tends to increase ANGULAR SPEED and decrease SPEED to reach the required condition of rolling motion.
New contributor
$endgroup$
$begingroup$
Why should the rolling resistance increase the angular speed of a car tyre. This would result in an increased car speed too, wouldn't it?
$endgroup$
– user223687
11 secs ago
add a comment |
$begingroup$
The body slows down because force other than friction are acting on the surface of the body in contact with the surface which is called the rolling resistance. Also the air resistance also contributes in decelerating the body. Moreover the the surfaces are not perfectly smooth. There are certain deformations(which are not visible to our naked eyes) , roughness etc both on the body and also on the surface this results in irregular directions of the normal force at each point of the surface in contact which provides the rolling resistance(horizontal component of the inclined normal force is responsible for slowing down the object). Also the rolling motion in the world is not pure rotation there is always some skidding or slipping which gives rise to kinetic friction which opposes the motion of the body thus slowing it down.
$endgroup$
add a comment |
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3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
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votes
$begingroup$
Rolling wheels do not pivot about their centers. They pivot about the contact point with the floor, or in the case of deformation the centerline of the contact.
Move the center of rotation down by $R$ and reevaluate your torques; I think you will find they operate opposite of rotation.
$endgroup$
$begingroup$
If I use R as the center of rotation, $vec{F}_R$ will not cause any torque!? Can you provide a sketch or a free body diagram? Intuitively, it makes sense, that the rolling resistance slows down the speed $vec{v}$, but I don't get the direction of the vector in terms of rotational direction.
$endgroup$
– user223687
6 mins ago
add a comment |
$begingroup$
Rolling wheels do not pivot about their centers. They pivot about the contact point with the floor, or in the case of deformation the centerline of the contact.
Move the center of rotation down by $R$ and reevaluate your torques; I think you will find they operate opposite of rotation.
$endgroup$
$begingroup$
If I use R as the center of rotation, $vec{F}_R$ will not cause any torque!? Can you provide a sketch or a free body diagram? Intuitively, it makes sense, that the rolling resistance slows down the speed $vec{v}$, but I don't get the direction of the vector in terms of rotational direction.
$endgroup$
– user223687
6 mins ago
add a comment |
$begingroup$
Rolling wheels do not pivot about their centers. They pivot about the contact point with the floor, or in the case of deformation the centerline of the contact.
Move the center of rotation down by $R$ and reevaluate your torques; I think you will find they operate opposite of rotation.
$endgroup$
Rolling wheels do not pivot about their centers. They pivot about the contact point with the floor, or in the case of deformation the centerline of the contact.
Move the center of rotation down by $R$ and reevaluate your torques; I think you will find they operate opposite of rotation.
answered 2 hours ago
cmscms
3,0472415
3,0472415
$begingroup$
If I use R as the center of rotation, $vec{F}_R$ will not cause any torque!? Can you provide a sketch or a free body diagram? Intuitively, it makes sense, that the rolling resistance slows down the speed $vec{v}$, but I don't get the direction of the vector in terms of rotational direction.
$endgroup$
– user223687
6 mins ago
add a comment |
$begingroup$
If I use R as the center of rotation, $vec{F}_R$ will not cause any torque!? Can you provide a sketch or a free body diagram? Intuitively, it makes sense, that the rolling resistance slows down the speed $vec{v}$, but I don't get the direction of the vector in terms of rotational direction.
$endgroup$
– user223687
6 mins ago
$begingroup$
If I use R as the center of rotation, $vec{F}_R$ will not cause any torque!? Can you provide a sketch or a free body diagram? Intuitively, it makes sense, that the rolling resistance slows down the speed $vec{v}$, but I don't get the direction of the vector in terms of rotational direction.
$endgroup$
– user223687
6 mins ago
$begingroup$
If I use R as the center of rotation, $vec{F}_R$ will not cause any torque!? Can you provide a sketch or a free body diagram? Intuitively, it makes sense, that the rolling resistance slows down the speed $vec{v}$, but I don't get the direction of the vector in terms of rotational direction.
$endgroup$
– user223687
6 mins ago
add a comment |
$begingroup$
The force pointing backwards is not increasing the SPEED...rather it is increasing its ANGULAR SPEED.
If you want a condition where rolling friction increases the SPEED, consider the condition when a rotating ring (or any other object capable of rolling) is kept on a surface. In that case the rolling friction will try to nullify the speed of the point of contact by increasing the SPEED and decreasing the ANGULAR SPEED until
Rw=v...where w is the angular velocity, v is the speed and R is the radius.
The diagram which you have given corresponds to the opposite case. Here, the object is given only a SPEED without ANGULAR SPEED. So, the force tends to increase ANGULAR SPEED and decrease SPEED to reach the required condition of rolling motion.
New contributor
$endgroup$
$begingroup$
Why should the rolling resistance increase the angular speed of a car tyre. This would result in an increased car speed too, wouldn't it?
$endgroup$
– user223687
11 secs ago
add a comment |
$begingroup$
The force pointing backwards is not increasing the SPEED...rather it is increasing its ANGULAR SPEED.
If you want a condition where rolling friction increases the SPEED, consider the condition when a rotating ring (or any other object capable of rolling) is kept on a surface. In that case the rolling friction will try to nullify the speed of the point of contact by increasing the SPEED and decreasing the ANGULAR SPEED until
Rw=v...where w is the angular velocity, v is the speed and R is the radius.
The diagram which you have given corresponds to the opposite case. Here, the object is given only a SPEED without ANGULAR SPEED. So, the force tends to increase ANGULAR SPEED and decrease SPEED to reach the required condition of rolling motion.
New contributor
$endgroup$
$begingroup$
Why should the rolling resistance increase the angular speed of a car tyre. This would result in an increased car speed too, wouldn't it?
$endgroup$
– user223687
11 secs ago
add a comment |
$begingroup$
The force pointing backwards is not increasing the SPEED...rather it is increasing its ANGULAR SPEED.
If you want a condition where rolling friction increases the SPEED, consider the condition when a rotating ring (or any other object capable of rolling) is kept on a surface. In that case the rolling friction will try to nullify the speed of the point of contact by increasing the SPEED and decreasing the ANGULAR SPEED until
Rw=v...where w is the angular velocity, v is the speed and R is the radius.
The diagram which you have given corresponds to the opposite case. Here, the object is given only a SPEED without ANGULAR SPEED. So, the force tends to increase ANGULAR SPEED and decrease SPEED to reach the required condition of rolling motion.
New contributor
$endgroup$
The force pointing backwards is not increasing the SPEED...rather it is increasing its ANGULAR SPEED.
If you want a condition where rolling friction increases the SPEED, consider the condition when a rotating ring (or any other object capable of rolling) is kept on a surface. In that case the rolling friction will try to nullify the speed of the point of contact by increasing the SPEED and decreasing the ANGULAR SPEED until
Rw=v...where w is the angular velocity, v is the speed and R is the radius.
The diagram which you have given corresponds to the opposite case. Here, the object is given only a SPEED without ANGULAR SPEED. So, the force tends to increase ANGULAR SPEED and decrease SPEED to reach the required condition of rolling motion.
New contributor
New contributor
answered 1 hour ago
Sanket J HSanket J H
188
188
New contributor
New contributor
$begingroup$
Why should the rolling resistance increase the angular speed of a car tyre. This would result in an increased car speed too, wouldn't it?
$endgroup$
– user223687
11 secs ago
add a comment |
$begingroup$
Why should the rolling resistance increase the angular speed of a car tyre. This would result in an increased car speed too, wouldn't it?
$endgroup$
– user223687
11 secs ago
$begingroup$
Why should the rolling resistance increase the angular speed of a car tyre. This would result in an increased car speed too, wouldn't it?
$endgroup$
– user223687
11 secs ago
$begingroup$
Why should the rolling resistance increase the angular speed of a car tyre. This would result in an increased car speed too, wouldn't it?
$endgroup$
– user223687
11 secs ago
add a comment |
$begingroup$
The body slows down because force other than friction are acting on the surface of the body in contact with the surface which is called the rolling resistance. Also the air resistance also contributes in decelerating the body. Moreover the the surfaces are not perfectly smooth. There are certain deformations(which are not visible to our naked eyes) , roughness etc both on the body and also on the surface this results in irregular directions of the normal force at each point of the surface in contact which provides the rolling resistance(horizontal component of the inclined normal force is responsible for slowing down the object). Also the rolling motion in the world is not pure rotation there is always some skidding or slipping which gives rise to kinetic friction which opposes the motion of the body thus slowing it down.
$endgroup$
add a comment |
$begingroup$
The body slows down because force other than friction are acting on the surface of the body in contact with the surface which is called the rolling resistance. Also the air resistance also contributes in decelerating the body. Moreover the the surfaces are not perfectly smooth. There are certain deformations(which are not visible to our naked eyes) , roughness etc both on the body and also on the surface this results in irregular directions of the normal force at each point of the surface in contact which provides the rolling resistance(horizontal component of the inclined normal force is responsible for slowing down the object). Also the rolling motion in the world is not pure rotation there is always some skidding or slipping which gives rise to kinetic friction which opposes the motion of the body thus slowing it down.
$endgroup$
add a comment |
$begingroup$
The body slows down because force other than friction are acting on the surface of the body in contact with the surface which is called the rolling resistance. Also the air resistance also contributes in decelerating the body. Moreover the the surfaces are not perfectly smooth. There are certain deformations(which are not visible to our naked eyes) , roughness etc both on the body and also on the surface this results in irregular directions of the normal force at each point of the surface in contact which provides the rolling resistance(horizontal component of the inclined normal force is responsible for slowing down the object). Also the rolling motion in the world is not pure rotation there is always some skidding or slipping which gives rise to kinetic friction which opposes the motion of the body thus slowing it down.
$endgroup$
The body slows down because force other than friction are acting on the surface of the body in contact with the surface which is called the rolling resistance. Also the air resistance also contributes in decelerating the body. Moreover the the surfaces are not perfectly smooth. There are certain deformations(which are not visible to our naked eyes) , roughness etc both on the body and also on the surface this results in irregular directions of the normal force at each point of the surface in contact which provides the rolling resistance(horizontal component of the inclined normal force is responsible for slowing down the object). Also the rolling motion in the world is not pure rotation there is always some skidding or slipping which gives rise to kinetic friction which opposes the motion of the body thus slowing it down.
answered 1 hour ago
Harsh WasnikHarsh Wasnik
413
413
add a comment |
add a comment |
user223687 is a new contributor. Be nice, and check out our Code of Conduct.
user223687 is a new contributor. Be nice, and check out our Code of Conduct.
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