Maximum speed of a car on the bridge

In summary, the maximum speed at which the car will not leave the surface of the bridge at the top is when the centripetal acceleration is equal to the acceleration of gravity, resulting in a normal force of 0. This occurs when the normal reaction from the ground is greater than the weight of the car. The vertical cross section of the bridge is a circular arc with a radius of 300 m.
  • #1
wal33d
1
0
the vertical cross section of a bridge is a circular arc of radius 300 m. what is the maximum speed at which the car will not leave the surface while passing at the top of the bridge?

i just can't seem to understand where to go with this problem
help please!
 
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  • #2


Hi wal33d, welcome to PF.
When the normal reaction from the ground is greater than the weight of the car, it will leave the ground. In the curved surface, the normal reaction is due to the centripetal force.
 
  • #3


rl.bhat said:
Hi wal33d, welcome to PF.
When the normal reaction from the ground is greater than the weight of the car, it will leave the ground. In the curved surface, the normal reaction is due to the centripetal force.

When the car leaves the ground, the normal force is 0. The normal force is 0 when the centripetal acceleration of the car is equal to the acceleration of gravity.
 
  • #4


Yes.
 

1. What factors affect the maximum speed of a car on a bridge?

The maximum speed of a car on a bridge is affected by several factors, including the length and design of the bridge, the weight and size of the car, and the condition of the bridge's surface. Additionally, weather conditions such as wind and rain can also impact the maximum speed of a car on a bridge.

2. Is there a maximum speed limit for cars on bridges?

In most cases, there is no specific maximum speed limit for cars on bridges. However, the general speed limit for roads and highways still applies, and drivers should always follow posted speed limits and drive at a safe and reasonable speed for the conditions.

3. Can a car go faster on a longer bridge compared to a shorter bridge?

In theory, a longer bridge would provide a longer stretch of straight road, allowing a car to reach higher speeds. However, the design and condition of the bridge, as well as any potential traffic or weather conditions, would also play a significant role in determining the maximum speed of a car on a bridge.

4. How does the weight of a car affect its maximum speed on a bridge?

The weight of a car can impact its maximum speed on a bridge in several ways. A heavier car may require more power and acceleration to reach higher speeds, and the added weight may also put more strain on the bridge's structure. Additionally, the weight distribution of the car can affect its stability and handling on the bridge, potentially impacting its maximum speed.

5. Are there any safety concerns with driving at maximum speed on a bridge?

Driving at maximum speed on a bridge can pose safety concerns, especially if the driver is not experienced or familiar with the bridge's design and conditions. Factors such as wind, rain, and other weather conditions can also make it unsafe to drive at maximum speeds on a bridge. It is always essential to drive at a safe and reasonable speed and follow all posted speed limits to ensure the safety of everyone on the road.

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