Thalasar Ventures

It is quantity of a vector that consists of magnitude on two directions. The length is directly proportional to the change of velocity which is measured in radan (rad/s 2 or rad · s -2). The length or magnitude can be denoted in degrees per second squared (deg/s 2 or deg · s -2).

The direction is perpendicular to the level of surface where the spinning occurs. When the boost in the velocity seems to be clockwise to an observer, then the acceleration is away from the viewer. If the increase is counterclockwise, then the acceleration will be in the direction of the observer.

There are mainly two types of quantities: the scalar and the vector. The scalar consists of only the length or magnitude while the vector consists of both the length and direction of motion. Acceleration is very important in mechanics. The Kinematics, a branch of mechanics, includes acceleration in all its equations.

All the things do not travel in a straight line. At times, it travels in a circular form. Since it travels in a circular motion the direction also changes accordingly. The types of velocity differ with the things in straight motion and circular motion. The things travel in straight motion gains linear velocity while the other gains angular velocity. The angular velocity gives rise to the phenomenon, angular acceleration.

The SI unit of this concept is radan per Second Square and the radan is represented with the symbol alpha. A radan is a representation of scalar which is used to calculate the measurements of angles. Newton’s second law of motion states that the force on a body is the same to the product of the mass and acceleration of the body. So this law can be implemented with torque and moment of inertia in the case of circular rotation. The acceleration is always constant when the values of torques are constant. The value of torque changes as the acceleration changes.

The mathematical expression for this phenomenon is

, or

,

There are two types acceleration:

Constant Acceleration

The angular acceleration remains constant if the torque of an object remains constant. For angular acceleration, the above mentioned equation will produce a singular value.

Non-Constant Acceleration

If the torque is non-constant the angular acceleration will also be non-constant. In such a case, the equation will be a differential equation. This is called as the equation of motion.

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