Question

Which of the following scientists explained his model on the basis of centrifugal force ?

Answer 1

Answer:

Explanation:

In Newtonian mechanics, the centrifugal force is an inertial force (also called a "fictitious" or "pseudo" force) that appears to act on all objects when viewed in a rotating frame of reference. It is directed away from an axis which is parallel to the axis of rotation and passing through the coordinate system's origin. If the axis of rotation passes through the coordinate system's origin, the centrifugal force is directed radially outwards from that axis. The magnitude of centrifugal force F on an object of mass m at the distance r from the origin of a frame of reference rotating with angular velocity ω is:

{\displaystyle F=m\omega ^{2}r}{\displaystyle F=m\omega ^{2}r}

Answer 2

Answer:

In his "solar vortex hypothesis," Gottfried Leibniz proposed that centrifugal force is a genuine outer force that is brought about by the movement of the body it operates upon.

Explanation :

• It seems that Newton himself had previously backed a strategy akin to Leibniz's.
• Later, in his Principia, Newton made an important distinction between a frame of reference in which the point of attraction is fixed and another frame of reference that does not.
• Leibniz's centrifugal force was not required in this formulation and was just substituted by persistent inward forces toward the fixed point.
• Due to his third law of motion, which states that an action-reaction pair consisting of both the centrifugal force and the centripetal force must be equal and opposite, Newton objected to Leibniz's equation because it allowed for the centrifugal force to have a different value from the centripetal force.  
• Newton was erroneous in this, though, as the centrifugal force in Leibniz's equation and the reactive centrifugal force required by the third law of motion are two very different ideas.
• Along with Leibniz, Huygens was a neo-Cartesian and a critic of Newton.
• After extensive correspondence, Huygens came to the conclusion that Leibniz's writings on celestial mechanics made no sense and that his use of a harmonic vortex was illogical given that his radial equation of motion logically follows directly from Newton's laws.
• Even the most ardent contemporary supporters of Leibniz's theories admit that his harmonic vortex, which served as the foundation for centrifugal force, was dynamically unnecessary.

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