Problem

The racing car travels with a constant speed of 240 km/h around the elliptical race trac...

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.

Step-by-Step Solution

Solution 1

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

By substituting the values of the parameters into the above relation, we have

Magnitude of acceleration of the car experienced by the driver at is

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