VitaX said:
tiny-tim said:Hi VitaX!
Your τ = Iα is instead of Newton's 2nd Law …
just convert T1 and T2 into torque (and a into angular acceleration)
Newton's 2nd Law of Rotation states that the angular acceleration of an object is directly proportional to the net torque acting on the object and inversely proportional to its moment of inertia. In simpler terms, this law explains how a force applied to an object can cause it to rotate.
Torque is the rotational equivalent of force and is a crucial component of Newton's 2nd Law of Rotation. The net torque acting on an object is equal to its moment of inertia multiplied by its angular acceleration. This relationship helps explain how a force applied at a distance from the axis of rotation can cause an object to rotate.
The moment of inertia, also known as rotational inertia, is a measure of an object's resistance to rotational motion. It is directly proportional to the mass of the object and the square of its distance from the axis of rotation. In Newton's 2nd Law of Rotation, the moment of inertia is a crucial factor in determining the object's angular acceleration.
In the case of a spinning disk, the net torque acting on the disk is equal to the product of its moment of inertia and its angular acceleration. This means that the angular acceleration of a spinning disk can be controlled by changing the net torque acting on it. This principle is used in various applications, such as gyroscopes and flywheels.
Yes, Newton's 2nd Law of Rotation can be applied to non-circular objects as long as the object's moment of inertia and the net torque acting on it are properly calculated. This law is applicable to any object that can rotate, regardless of its shape or size.