In accordance with the terms of physics, the balance that lies between the dynamics of motion and the force has been referred to as the equilibrium state. Based on this, the equilibrium that has a constant angular momentum can be considered the rotational equilibrium. Based on this particular concept of physics, the current study will include an explanation of the formula regarding the rotational equilibrium. Conditions for the rotational equilibrium and the concept will be exemplified in order to display in-depth discussion.  

Body

What is Rotational Equilibrium?

Rotational equilibrium is defined as the state of movement where angular acceleration is zero. In the rotational equilibrium total torque is zero as the torque is responsible for the acceleration in the movement. In the rotational equilibrium the object is at a steady condition, remains at a uniform position and the object that is rotating continues to rotate with constant angular velocity unless force is applied by the external torque. In the rotational equilibrium, torque is calculated by multiplying the force and distance. If the velocity of the rotation is constant then the object is in rotational equilibrium.

Purpose of Rotational Equilibrium 

The main purpose of the rotational equilibrium is to determine the torque produced by a force and how far the force is applied to the point of the rotation of the object. Pivot is defined as the point of rotation in which torque is applied for uniform rotation of the object in constant velocity. The force applied nearly to the pivot has less torque than the equal magnetic force. The distance between the pivot and the force applied to the object is called the lever arm. Gravity acts as acceleration in the rotation of the object from top to bottom.

The Formula for the Rotational Equilibrium 

Formula for calculating rotational equilibrium is τ=rFsinθ, where F is the force applied to the object, and r is denoted as a force from the axis. Torque determines the degree to which the force F is applied to the distance from the point of the axis. In the above equation θ is the angular degree between the r and F vector in the rotational equilibrium. The right-hand formula of torque helps to determine the sign of the torque applied to the point of rotation. If the external force is applied perpendicular to the radius from the axis to the point of rotation, then the lever arm is radius r. However, the force is applied in an angular direction then the lever arm is r*sinθ.

Examples of Rotational Equilibrium

• Door opening and closing, ceiling fan movement is the rotational equilibrium movement in which a fan moves around its axis in constant velocity if no force is applied to the rotation point.
•  A screwdriver is an example of static rotational equilibrium movement in which torque causes angular acceleration.
• Static equilibrium occurs in the steady and uniform position in which no force is applied

Conditions for the Rotational Equilibrium

In the rotational equilibrium, the velocity of the force must be constant to maintain a constant equilibrium motion. The sum of all external forces applied to the body of the object must be zero. The physical cionmditi0onm for the rotational equilibrium is that the line of action must be convergent. The equilibrium phase continues to the point in which the total force applied to the mass is zero. Net force and net torque must be zero to retain the equilibrium position.

Difference between rotational equilibrium with translational equilibrium

The core differences are encountered in the definitions of both the equilibriums. The translational equilibrium has been referred to as the position of the object has a constant velocity of its translation motion. Such as if an object has been identified as a moving one in a straight line, the velocity will be considered translational equilibrium. In contradiction, when an object is identified as rotating in one direction, the velocity will be considered rotational equilibrium.  

Conclusion

In order to sum up all that has been stated so far in the study, it has been suggested that the study has exemplified rotational equilibrium. Along with that, the study has stated the purpose of rotational equilibrium and the formula related to this particular terminology has been stated in a brief manner. In addition to that, it has been seen that the study has included the discussion regarding differences that lie between translational equilibrium and rotational equilibrium as well