Final answer:
The question explores the concept of ideal speed, which is the safest speed for a vehicle to take a curve without friction. Specifically, it calculates the ideal speed for a 100 m radius curve banked at 65.0° to be about 165 km/h, emphasizing the role of tire friction in allowing higher speeds.
Step-by-step explanation:
In physics, the ideal speed refers to the maximum safe velocity at which a vehicle can navigate a curve without relying on friction between the tires and the road surface. The question at hand involves calculating the ideal speed for a car to take a specific curve under the assumption that there is no friction — a theoretical scenario often discussed in physics to understand the forces in play during cornering.
One example used to illustrate this concept involves a curve with a 100 meter radius that is banked at an angle of 65.0°. The calculation of the ideal speed for such a curve could show that it is approximately 165 km/h. This is a high speed, reflecting the sharpness and steep bank of the curve. In reality, tire friction plays a significant role and allows vehicles to take such curves at higher speeds than the ideal speed calculated in frictionless conditions.
Discussion about these concepts is crucial for understanding vehicle dynamics and is relevant for both highway engineering and motorsport applications. When designing roads and curves, engineers look at the ideal speed to ensure safe driving conditions. On race tracks, like the Daytona International Speedway in Florida, steep banking and high levels of tire friction allow race cars to tackle curves at speeds considerably higher than what would be deemed ideal in frictionless conditions.