Bicycle Forces in Circular Motion

In summary, a bicyclist traveling in a circle of radius 22.5 m at a constant speed of 8.62 m/s and a bicycle-rider mass of 79 kg will experience a force of friction from the road of 260.9N, calculated using the equation F=mv^2/R. To find the net force on the bicycle, the applied force and friction force need to be added together, taking into account that the force of friction would be negative due to its direction.
  • #1
mmiller9913
14
0

Homework Statement



A bicyclist travels in a circle of radius 22.5 m at a constant speed of 8.62 m/s. The bicycle-rider mass is 79 kg. Calculate the magnitudes of (a) the force of friction on the bicycle from the road and (b) the net force on the bicycle from the road.

Homework Equations


a. F=mv^2/R
Fnet=ma

The Attempt at a Solution


i got a. to be 260.9N by using F=mv^2/R
for b, i have no idea. Could they be the same since the vertical forces on the bike cancel out?
 
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  • #2
to answer b, you need to find the force applied by the biker (f=ma) then to get fnet you need to add the force applied + the force of friction. but keep in mind that the force of friction would be negative since it is going the opposite direction :)
 

Related to Bicycle Forces in Circular Motion

1. How does a bicycle stay balanced when traveling in a circle?

When a bicycle is traveling in a circle, it stays balanced due to the principle of centrifugal force. This force is created by the inward pull of the wheels on the ground, which balances out the outward pull of the bike and rider.

2. What factors affect the size of the circle a bicycle can travel in?

The size of the circle a bicycle can travel in is affected by several factors, including the speed of the bicycle, the angle of the turn, and the weight distribution of the rider. Higher speeds and sharper turns will result in a smaller circle, while slower speeds and wider turns will result in a larger circle.

3. Can a bicycle travel in a perfect circle?

No, it is not possible for a bicycle to travel in a perfect circle. Due to the principles of physics, a bicycle will always have some slight wobbling or deviation from a perfect circle when traveling in one.

4. How does the force of gravity affect a bicycle traveling in a circle?

The force of gravity plays a crucial role in keeping a bicycle balanced when traveling in a circle. It pulls the rider and the bicycle towards the ground, providing the necessary counterbalance to the centrifugal force that is pushing them away from the center of the circle.

5. Why is it easier to turn left on a bicycle than to turn right?

This is due to the geometry of the bicycle and the way the handlebars are positioned. The front wheel of a bicycle is angled slightly to the left, making it easier for the rider to turn left. Turning right requires the rider to push against this natural angle, making it slightly more difficult.

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