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Force affects rotational motion by causing a change in angular velocity, leading to rotational acceleration or deceleration.
In more detail, the effect of force on rotational motion is governed by Newton's second law of motion, which states that the rate of change of momentum of a body is directly proportional to the force applied and occurs in the direction in which the force is applied. In the context of rotational motion, this law is often expressed in terms of torque and angular momentum. Torque is the rotational equivalent of force, and it is the product of the force applied and the distance from the point of application to the axis of rotation. Angular momentum, on the other hand, is the rotational equivalent of linear momentum.
When a force is applied to a body in rotational motion, it creates a torque that causes a change in the body's angular momentum, leading to rotational acceleration or deceleration. The direction of the change in angular velocity depends on the direction of the applied force. If the force is applied in the direction of the body's rotation, it causes the body to speed up, or accelerate. If the force is applied against the direction of rotation, it causes the body to slow down, or decelerate.
The magnitude of the change in angular velocity depends on the magnitude of the applied force and the moment of inertia of the body. The moment of inertia is a measure of the body's resistance to changes in its rotational motion. It depends on both the mass of the body and the distribution of that mass around the axis of rotation. A body with a large moment of inertia requires a larger force to change its angular velocity than a body with a small moment of inertia.
In summary, force affects rotational motion by causing a change in angular velocity, which leads to rotational acceleration or deceleration. The direction and magnitude of this change depend on the direction and magnitude of the applied force and the moment of inertia of the body.
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