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Ive made a car simulator for a uni project, i am now trying to calculate lateral acceleration (Gs) for the car.

It models a car going round a track, however the track is made up of a series of straight lines, no curves. curve (type things) are achieved by a series of straight lines close together.

I need to calculate the lateral acceleration from the car changing from one direction to another (essentially instantly but more likely effectively over a very short period of time.

Ie the change from going on a bearing of 50deg at 50mph and changing course to 60deg still at 50mph will exert some lateral Gs. But how can i calculate how much?

There is a formule for the radius of a circle, as in if the car were going round in a circle:

R^2/ speed gives lateral accel but i have straight lines, no curves.

Ive looked at making the lines give an effective radius but that isnt working too well.

Any help would be SO much appreciated. there is clearly a link between a change in direction (ideally in degrees) and lateral acceleration but i cannot find a formula.

Thanks in advance!!