I have not had experience with fuel injected vehicles, assuming yours is, but I have experienced such a thing on many occasions with carburated vehicles. On such, plugged jets in the carburetor actually cause the vehicle to shudder when under load. If the vehicle is fuel injected and hasen't been serviced recently you may want to have this checked out.Another AnswerIf an automatic vehicle and feels like you're driving over a cattle guard, good chance it's the torque converter that's going out. If so, it doesn't happen so much if you take off from a stop and continue a constant and somewhat aggressive acceleration. It also happens every time if going through a school zone at 35ish for a while, then trying to speed up. That's a torque converter unable to lock up. When you feel it, back off the gas! If that torque converter does come apart inside, your car is going nowhere.
You've conflated your cause and your effect. The object's speed and the curvature of its path are determined by the centripetal acceleration.
GENERALLY, WHEN A FRONT WHEEL DRIVE VEHICLE SHUDDERS WHEN YOU ARE ACCELERATING, IT IS ONE OF THE INSIDE CV JOINTS THAT IS OUT. THERE ARE DRIVE SHAFTS THAT COME OUT OF THE TRANSMISSION, AND THEY HAVE BOOTS ON THE INSIDE CLOSE TO THE TRANSMISSION, AND BOOTS ON THE OUTSIDE CLOSE TO THE WHEELS. THE INSIDE BOOTS AND JOINTS TEND TO SHUDDER UPON ACCELERATION WHEN THEY ARE OUT. HOPE THIS HELPS.
This could cause problems if acted upon.
A transmission that stumble upon acceleration between 2nd and 3rd gear may need to be flushed. Another possible cause is that the torque converter is locking when shifting between gears.
Depending on age and mileage could be a sloppy timing chain or belt
The larger the force acting upon an object, the greater the acceleration of the object.
Turbo lagging. Remove Inlet tube and check that it spins exceptionally freely,and also check that the wastegate and linkage moves freely.
worn piston rings
The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object. The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased. To put it as it is often put: Force equals mass times acceleration (F = ma): the net force on an object is equal to the mass of the object multiplied by its acceleration.
Try balancing the tires,
In that case, the acceleration will also increase.