Do All Points on a Rotating Rigid Disk Experience Centripetal Acceleration?

In summary, a rigid body is a physical object that maintains its shape and size even when subjected to external forces. Centripetal acceleration is the acceleration that an object experiences when it moves in a circular path, with its magnitude determined by the object's velocity and the radius of its circular path. A rigid body can experience centripetal acceleration due to the fixed distance between its particles, and examples include a satellite orbiting the Earth, a car turning a corner, and a spinning top. Rigid body centripetal acceleration differs from linear acceleration in that it occurs in circular motion, is always directed towards the center of the circle, and is dependent on the object's speed and circular path radius, while linear acceleration occurs in straight-line motion,
  • #1
sneez
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Does a rotating rigid disk, for example, feel centripetal acceleration at each point of its body?

or more general: Is centripetal acceleration only for non-rigid bodies? (ball on a string, ex)?
 
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  • #2
yes. or rather, it "feels" the centrifugal force..
 
  • #3


I can confirm that a rotating rigid disk does indeed experience centripetal acceleration at each point of its body. This is because centripetal acceleration is defined as the acceleration towards the center of a circular path, and this applies to all points on a rotating rigid disk.

In fact, centripetal acceleration is not limited to non-rigid bodies such as a ball on a string. It is a fundamental principle of circular motion and applies to all objects, regardless of their rigidity.

This concept can be better understood by considering the forces acting on a rotating rigid disk. The centripetal force, which is responsible for maintaining the circular motion, acts on every point of the disk and is directed towards the center. As a result, every point on the disk experiences a centripetal acceleration towards the center.

In summary, centripetal acceleration is not limited to non-rigid bodies and applies to all objects, including rotating rigid disks. It is a crucial concept in understanding circular motion and is present at every point of a rotating object.
 

Related to Do All Points on a Rotating Rigid Disk Experience Centripetal Acceleration?

What is a rigid body?

A rigid body is a physical object that maintains its shape and size, and its particles maintain a fixed distance from each other, even when subjected to external forces.

What is centripetal acceleration?

Centripetal acceleration is the acceleration that an object experiences when it moves in a circular path. It is always directed towards the center of the circle and its magnitude can be calculated using the formula a = v^2/r, where v is the velocity of the object and r is the radius of the circle.

What is the relationship between rigid body and centripetal acceleration?

A rigid body can experience centripetal acceleration when it moves in a circular path. This is because the particles of a rigid body maintain a fixed distance from each other, allowing the object to rotate without deforming. Centripetal acceleration is necessary to keep a rigid body moving in a circular path.

What are some examples of rigid body centripetal acceleration?

Some examples of rigid body centripetal acceleration include a satellite orbiting the Earth, a car turning a corner, and a spinning top. In all of these cases, the objects are experiencing a centripetal force that keeps them moving in a circular path.

How is rigid body centripetal acceleration different from linear acceleration?

Rigid body centripetal acceleration is a type of acceleration that occurs in circular motion, while linear acceleration occurs in straight-line motion. Centripetal acceleration always points towards the center of the circle, while linear acceleration can point in any direction. Additionally, centripetal acceleration is dependent on the object's speed and the radius of its circular path, while linear acceleration is dependent on the object's mass and the force acting on it.

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