The racing car travels with a constant speed of 240 km/h around the elliptical race track. Determine the acceleration experienced by the driver at B.
Speed of the racing car is
As the race car travels with a constant speed along the track, tangential component of the acceleration
We have
By differentiating the above equation, we have
By differentiating the, we have
Radius of curvature of the path is expressed as
By subsuming the values of the paramteres into, we have
At, we have
Speed of the racing car is
Accordingly, we have
Normal component of acceleration of the car is expressed as
By substituting the values of the parameters into above relation, we have
Normal component of acceleration of the car at point is
Magnitude of the acceleration of the car is expressed as
Magnitude of acceleration of the car experienced by the driver at is