Centripetal force on a turning bus

In summary, the bus will topple over to the left because the force of friction between the tires and the road provides an unbalanced torque around the bus's center of mass, causing it to topple anticlockwise. This is because the centripetal force, which is responsible for keeping the bus on its circular path, increases with higher velocity, and if the bus is turning too fast, this force will be greater and cause the bus to topple over in the opposite direction of the turn. The force of friction acts on one part of the bus, but not on the center of mass, creating an unbalanced torque and causing the bus to tip to the left.
  • #1
bettysuarez
7
0

Homework Statement



Consider the rear view of a bus turning right. If the driver turned the bus while traveling too fast, the bus could topple over. If the bus did topple would the bus fall to the left or to the right?
Explain.


Since the bus was turning to the right, the centripetal force is to the right. centripetal force =mv^2/r so if it is too fast, velocity would increase and centripetal force would increase and the bus would topple to the right. However, the answer to this question says:

•The bus would tip to the left.
• The force of friction between the tyres and the road provides the
centripetal force at the base of the bus, providing an unbalanced
moment about the bus’s centre of mass [1]
• causing it to topple anticlockwise. [1]

Can someone please explain this to me?
Thank you!

Homework Equations


Fc = (mv^2)/r

The Attempt at a Solution


please see above
 
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  • #2
Well the bus wants to keep going in a straight line, and if the acceleration that tries to force it into a new path isn't high enough, it will follow that straight path and topple over as the rest of it tries to keep turning.
 
  • #3
Lancelot59 said:
Well the bus wants to keep going in a straight line, and if the acceleration that tries to force it into a new path isn't high enough, it will follow that straight path and topple over as the rest of it tries to keep turning.

Isn't the bus going too fast so centripetal force that allows it to turn right is larger, hence providing a torque that will tip the bus over to the right (i.e. clockwise torque)?
 
  • #4
But where on the bus does the friction force (which provides the centripetal force) act? What torque does that force exert about the center of mass?
 
  • #5
That's the key to it all, the force is applied to one part of the bus, but not to the centre of mass.
 

FAQ: Centripetal force on a turning bus

What is centripetal force on a turning bus?

Centripetal force on a turning bus is the force that acts towards the center of the bus's circular path, keeping the bus moving in a curved path instead of a straight line.

Why is centripetal force important on a turning bus?

Centripetal force is important on a turning bus because it is necessary to keep the bus from moving in a straight line and to maintain the circular motion. Without centripetal force, the bus would continue in a straight line and not be able to turn.

How is centripetal force created on a turning bus?

Centripetal force is created by a combination of the bus's forward motion and the friction between the wheels and the road. The force acts perpendicular to the direction of the bus's motion, towards the center of the circular path.

What factors can affect the centripetal force on a turning bus?

The speed of the bus, the mass of the bus, and the radius of the turn can all affect the amount of centripetal force needed to keep the bus moving in a circular path. Additionally, road conditions and the weight distribution of the passengers on the bus can also impact the centripetal force.

What happens if there is not enough centripetal force on a turning bus?

If there is not enough centripetal force on a turning bus, the bus will not be able to maintain its circular path and will instead veer off in a straight line. This can result in a loss of control and potentially lead to an accident.

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