Force due rotation about axis parallel to centroidal axis

In summary, the formula used for calculating the force of an unbalanced mass on a disc rotating about the centroidal axis is F= m x r x w^2. However, in the case of a disc rotating about an axis parallel to the centroidal axis, a similar equation can be used where the force is equal to the product of mass and acceleration.
  • #1
mohammed othman
1
0
in the case of a disc rotating about the centroidal axis and having an unbalanced mass we used the formula
F(force)=m x r x w^2, where r is the distance from the center to the center, m mass of the unbalanced, w rotational speed
in the case of a disc rotating about axis parallel to the centroidal axis what equation we may use, what equation shall we use to obtain the force of unbalancing.
 
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  • #2
Start by recognizing that the "force" you used in the first place was not a force at all but a mass x acceleration term. For the new case, do the same thing in the new geometry; it will work out.
 

1. What is force due to rotation about an axis parallel to the centroidal axis?

Force due to rotation about an axis parallel to the centroidal axis is the force that causes an object to rotate around an axis that is parallel to its centroidal axis. This type of force is also known as a moment of force or torque.

2. How is force due to rotation calculated?

Force due to rotation is calculated by multiplying the applied force by the distance between the force and the axis of rotation. This distance is known as the lever arm or moment arm. The unit for force due to rotation is Newton-meters (Nm).

3. What is the difference between force due to rotation and force due to translation?

Force due to rotation is a type of force that causes an object to rotate around an axis, while force due to translation causes an object to move in a straight line. Force due to rotation is also known as a moment of force or torque, while force due to translation is simply referred to as force.

4. How does the direction of the force affect the rotation of an object?

The direction of the force affects the rotation of an object by determining the direction in which the object will rotate. If the force is applied in the same direction as the rotation, it will increase the rotation. If the force is applied in the opposite direction, it will decrease the rotation. If the force is applied perpendicular to the rotation, it will change the direction of the rotation.

5. What is the importance of understanding force due to rotation in engineering and physics?

Understanding force due to rotation is crucial in engineering and physics because it is a fundamental concept that explains how objects rotate and how to calculate the forces that cause rotation. This knowledge is essential in designing structures and machines that can withstand rotational forces and in analyzing the behavior of rotating objects in various scenarios.

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