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When a vehicle makes a turn, the two front wheels trace out two arcs as shown in the figure below. The wheel facing towards the inside of the turn has a steering angle that is greater than that of the outer wheel. This is necessary to ensure that both front wheels smoothly trace out two arcs, which have the same center, otherwise the front wheels will skid on the ground during the turn. During a turn, do the rear wheels necessarily trace out the same arcs as the front wheels? Based on your answer, what are the implications for making a turn close to the curb?

Vicki Sharma , 11 Years ago
Grade 12
anser 1 Answers
Askiitians Tutor Team

When a vehicle turns, the dynamics of the front and rear wheels are quite different. The front wheels indeed trace out arcs that are necessary for smooth steering, but the rear wheels do not necessarily follow the same arcs as the front wheels. This distinction is crucial for understanding vehicle dynamics during a turn and has practical implications, especially when navigating turns close to a curb.

The Role of Front and Rear Wheels in a Turn

To grasp the concept, let’s break down how the front and rear wheels behave during a turn:

  • Front Wheels: The front wheels are responsible for steering. When a vehicle turns, the inner front wheel (the one closer to the center of the turn) must turn at a sharper angle than the outer front wheel. This difference in steering angles allows both wheels to trace arcs that share a common center point, preventing skidding.
  • Rear Wheels: The rear wheels, however, do not have a steering mechanism like the front wheels. Instead, they follow the path dictated by the front wheels. In most cases, the rear wheels will trace a wider arc than the front wheels, which can lead to a different turning radius.

Understanding the Arcs Traced by the Wheels

When a vehicle turns, the front wheels create a tighter radius due to their steering angles. The rear wheels, while they do follow the general direction of the front wheels, will typically have a larger turning radius. This is because they are not actively steering and are instead pivoting around the center of the vehicle's mass. As a result, the rear wheels may not trace the same arcs as the front wheels, especially in sharper turns.

Implications for Turning Near a Curb

Now, let’s consider the practical implications of this behavior when making a turn close to a curb:

  • Risk of Collision: When turning near a curb, the inner front wheel will be closer to the curb, and if the turn is too sharp, there’s a risk that the outer rear wheel could hit the curb. This is particularly important for larger vehicles or those with longer wheelbases, as they have a greater distance between the front and rear axles.
  • Need for Caution: Drivers must be cautious when making tight turns near curbs. It’s essential to account for the wider arc traced by the rear wheels. If a driver turns too sharply, they may inadvertently clip the curb with the rear wheels, which could lead to loss of control or damage to the vehicle.
  • Adjusting Steering Angle: To avoid issues, drivers should adjust their steering angle and approach the turn more gradually. This allows for a smoother transition and reduces the risk of the rear wheels hitting the curb.

Conclusion

In summary, while the front wheels of a vehicle actively steer and trace tighter arcs during a turn, the rear wheels follow a different path, typically tracing wider arcs. This difference is crucial when making turns close to curbs, as it necessitates careful steering and awareness of the vehicle's dimensions to avoid potential collisions. Understanding this dynamic can enhance driving safety and maneuverability in tight spaces.

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