An engineer wants to design an oval racetrack such that 3.20 × 10³ lb racecars can round the exactly 1000 ft radius turns at 1.00 × 102 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle necessary for the race cars to navigate the turns at 1.00 × 102 mi/h without the aid of friction. 0= TOOLS This [X10 lose to the actual turn data at Daytona International Speedway, where 3.20 × 10³ lb stock cars travel around the turns at about 175 mi/h. What additional radial force is necessary to prevent a race car
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
![### Design of a Banked Racetrack
**Background:**
An engineer wants to design an oval racetrack such that 3.20 × 10³ lb racecars can round the exact 1000 ft radius turns at 1.00 × 10² mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h.
**Objective:**
Find the banking angle θ necessary for the race cars to navigate the turns at 1.00 × 10² mi/h without the aid of friction.
**Calculation:**
\[ \theta = \]
(Insert calculation tools or widget here if available.)
**Diagram Explanation:**
The diagram illustrates a green racecar navigating a banked turn. The car is depicted on an inclined plane, with the banking angle θ marked between the horizontal line and the inclined plane.
**Contextual Note:**
This banked angle for the turn is very close to the actual turn data at Daytona International Speedway, where 3.20 × 10³ lb stock cars travel around the turns at about 175 mi/h.
**Further Inquiry:**
What additional radial force is necessary to prevent a race car from drifting on the curve at 175 mi/h?
(Insert space for additional calculations or a calculator tool as needed.)
This educational content explains the physics behind banked racetracks, aiding students in understanding the practical application of concepts such as centripetal force, friction, and banking angles in designing safe and efficient racetracks.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8518208f-2e9b-4471-8588-919b82976815%2F67c65db9-49e7-45ba-b099-b8fe0c9d6b14%2F8kgvcnc_processed.png&w=3840&q=75)
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