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Magnitude of Acceleration

Acceleration ‘a’ is the change ofvelocity of an object with respect to time. The ratio between thechange in velocity to that of change in time say, in a given intervalgive the average ‘a’ in that time interval. If the change intime is made too small and it is close to 0, then this means it isthe instantaneous ‘a’ at that point.


When magnitude is calculated only thedistance covered is taken into consideration and the displacement isnot considered. Motions of objects are classified in two ways. Oneis the motion in a straight line in a given time interval of themotion along a curved path. The motion along a curve is the circularmotion or rotation. It is classified as Linear ‘a’ and angular‘a’. Linear is in case of linear motion and angular is in caseof circular motion.


The magnitude ofacceleration is where only the magnitude is taken intoconsideration but not the direction. Of course, there will be changein direction in velocity in this considering only the circularmotion, where direction is limited to two.

The two directions are the objectmight make a clockwise movement or move in a anti clock wisedirection around the center of the applied motion.

How to find theMagnitude of Acceleration: Magnitude of this is defined asIncrease in Velocity to the corresponding short interval of time..


My forthcoming post is on Gravitational Acceleration Formula, Isaac Newton Theory of Gravity will give you more understanding about mathematics.


Magnitude ofAcceleration Formula


Magnitude of ‘a’ = Change ofvelocity / Time interval

Magnitude of ‘a’ can be calculatedby the formulas:


V = u+at

S= ut + ½ at2

V2=u2 + 2as


where U is the initial velocity of thebody

V is the final velocity

a is the acceleration

t is the time taken

S = distance covered by the body


From these equation of motion,rearranging these formula the magnitude of this ‘a’ can be found.


The general formula for this isbasically based on application part of Newton’s second law ofmotion. To effect of this on an object, an external agency isrequired and that agency is defined as the force. The mathematicaldefinition of the force is given by: F = ma where F is the force ona mass m of the object, which imparts ‘a’. Therefore, this for agiven mass varies directly with the force, whereas, for a givenforce, the ‘a’ varies inversely with the mass of the object.