Respuesta :
In terms of your practical experiences making anything move in a circle, the connection makes physical sense and explains the mass and speed are in the numerator and why the radius is in the denominator. With regard to units, the relationship makes sense.
What is centripetal acceleration?
The acceleration of a body traveling in a circular route is known as centripetal acceleration. Because velocity is a vector quantity. It has both a magnitude and a direction.
When a body moves on a circular route, its direction changes constantly, causing its velocity to vary, resulting in acceleration.
The force needed to move a body in a curved way is understood as centripetal force. This is a force that can be sensed from both the fixed frame and the spinning body's frame of concern.
The direction of centripetal force is always in the path of the center of the course.
The centripetal force is found as;
[tex]\rm F_c = \frac{mv^2}{r}[/tex]
Unit analysis;
[tex]\rm F_c = \frac{mv^2}{r} \\\\ \rm N = \frac{kg ( \frac{m}{sec})^2 }{m} \\\\\ 1 N = 1 kg \frac{m }{s^2}[/tex]
Hence with regard to units, the relationship makes sense.
To learn more about centripetal acceleration refer to the link;
https://brainly.com/question/17689540
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