Physics
Mechanics
Newtons Laws of Motion

# What is the formula for calculating acceleration?

Acceleration

There are a few. The most famous is a = F/m, where F is the net force applied to a mass, m.

Acceleration is also the change in velocity, (Delta-V), divided by the change in time, (Delta-t). So, a =Î”v/Î”t.

For example, if an object's velocity changes from 10 meters per second to 20 meters per second in five seconds, its acceleration is (20-10)/5 = 2 meters per second per second, or 2 meters per second squared (m/s2).

For circular motion, centripetal acceleration is v2/r, where v is the linear velocity of the rotating object and r is the radius of its circular path.

Equations in a nutshell

Constant Accelerationa = Î”v/Î”t = (vfinal - vinitial) / (tfinal - tinitial)

a = (v2-u2)/2s

a = 2(s - ut)/t2

where

a=acceleration (m/s2)

v=final velocity (m/s)

u=initial velocity (m/s)

t=time (s)

s=distance (m).

OR

a=(v-vo)/t

a=acceleration (m/s2)

v=final velocity (m/s)

vo=initial velocity (m/s)

t=time (s).

Newton's Second Law

F = ma, thus, a = F/m

Centripetal Acceleration

ac = v2/r

Warning: Calculus Speak:

Acceleration is the second derivative of position with respect to time: d2x / dt2, which makes it the first derivative of velocity: dv / dt. Therefore, the acceleration is the slope of the curve on the velocity-versus-time graph.

Thus:

a = dv / dt = d2x / dt2

Acceleration is a quaternion with real and vector parts:

a= (V^2/R - cDel.v)) + (dcv/dR + cDelxv + V^2/R r)

a= (V^2/R - cV/R cos(v)) + (dv/dt + cv/R sin(v) + V^2/R r)

where R=ct and dR=cdt.

cv/Rcos(v) is the Centrifugal Acceleration a part of the real accelerations in the first parenthesis. The second parenthesis contains the vector accelerations.

Acceleration = F/m, where F is the net force applied to a mass, m.

a=f/m,

acceleration in terms of velocity.

a = v - u/t Delta Velocity divided by Time.

A = Î”V Ã· T Acceleration is worked out by (final speed - initial speed)/ time taken for change in speed a = v2-v1/ t2-t1 Strictly you should say velocity ie the speed in a certain direction. Youalso have the formula f=ma which tells you that the force needed to get something moving will be the mass of the object multiplied by the accelertion you want to achieve; so from this formula if you know force and mass you can work out acceleration. The formula for acceleration is: Vf-(Vi)/t ie. change in velocity per unit time. Instantaneous acceleration in its differential form is d2x/dt2 where x is a function of time t.

Acceleration is the time rate of change of velocity.

That is, acceleration =dv/dt (v - velocity ; t - time)

Or simply acceleration = change in velocity / time

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## Related Questions

Net acceleration = (change in velocity) divided by (time for the change)

Mass = force ( weight) / acceleration due to gravity

In physics, there is no "deceleration. " Using the formula for acceleration ((final velocity - initial velocity)/total time) backwards, you can solve for negative acceleration.

Based on what information? A commonly used formula is force = mass x acceleration.

There are different formulae for calculating these variables which depend on what information is available.

The rate at which velocity changes is known as the acceleration of an object.Calculating acceleration, given velocity can be achieved with the formula:acceleration = change in velocity / change in time

The answer depends on what information is available. For example, acceleration = force/mass.Acceleration is the rate of change in velocity. It is, therefore, the derivative of velocity with regard to time (a = dv/dt).

Weight W=mg Where W= Weight m= mass g= gravitational acceleration

Weight of a body is calculated by using the formula, W= m.g .where m is the mass of the body andg is acceleration due to gravity.

Mass times acceleration due to the moon's gravity. The latter is 1.622 m/s2.

The answer depends on what information is provided. One possible answer isweight = mass * acceleration due to gravity.

Newtons Second Law.Force = Mass times Accelerationwhere Acceleration = Acceleration due to gravity = 9.81 m/s2mass = in kilograms (kg)1 kg = 2.2 lbs

There is not enough information to calculate pressure. Here are some relevant formulae: Force = mass x acceleration Pressure = force / area

There are lots of applications of calculus; for example: calculating maxima and minima, analyzing the shape of curves, calculating acceleration when you know the velocity, calculating velocity when you know the acceleration; calculating the area of figures; calculating the volume of 3D shapes; etc.

The formula for calculating time is distance divided by speed!

The formula for calculating volume is Length x Width x Height

If s = displacement, u = initial velocity, a = acceleration, t = time. Then s = ut + 1/2at2 Be careful to keep units consistent

Formula for calculating the area of sphere is : 4 * pi * r * r

Since no further information is given, we can only say that mass=density x volume x acceleration due to gravity.

The formula for calculating power if you are given a magnetic field is sub 43

The newton formula for acceleration is f=ma Whereby f is the force m is the mass and a is the acceleration

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