e57b1a2a-b670-4a69-b511-db122a6af952
prompter
What is lenght of a car would need to be so that it would touch the floor in the middle because of the curvature of the earth ?
cf2bd7b5-f18d-4968-8d81-0ee55677ff28
e57b1a2a-b670-4a69-b511-db122a6af952
assistant
For this question, let's assume the earth is a perfect sphere of 6371\*10^3 meters in radius (6371 km), and a typical passenger sedan has the average ground clearance of 150\*10^-3 meters (15 cm).

Using the arc chord length equation in Julia code: 

```julia
earthRadius = 6371e3
carClearance = 150e-3
wheelDistance = 2*sqrt(2*earthRadius*carClearance-carClearance^2)
```
we get the result of ~2765 meters as the distance between the front and back wheels, which would be the absolute minimum distance of the length of this hypothetical car.
ef46b38c-603d-454c-a540-e979493579b9
cf2bd7b5-f18d-4968-8d81-0ee55677ff28
prompter
Can you rewrite that equation in python code instead of Julia code?  And write it as a function.
fd1c4ebc-96e9-4e59-a730-e93e17980238
ef46b38c-603d-454c-a540-e979493579b9
assistant
Sure, here's a Python version of this equation written as a function and a usage example:
```python
# math or similar library reqired for square root and power operations
import math

def car_touching_planet_length(car_clearance_meters, planet_radius_meters):
    wheel_distance = 2*math.sqrt(2 * planet_radius_meters * car_clearance_meters - math.pow(car_clearance_meters, 2))
    return wheel_distance

# Example usage:
try: 
    earth_radius = 6371e3
    average_sedan_clearance = 150e-3
    earth_car_touching_planet_lenght = car_touching_planet_length(average_sedan_clearance, earth_radius)
    car_rounded = round(earth_car_touching_planet_lenght,2)
    print(f"Length of a car touching earth because of the planet curvature is about {car_rounded} meters")
except ValueError as e:
    print(e)
```