Answer:
look it up im not a sheaperd sorry
Explanation:
The centripetal acceleration is ![13.0 m/s^2](https://tex.z-dn.net/?f=13.0%20m%2Fs%5E2)
Explanation:
For an object in uniform circular motion, the centripetal acceleration is given by
![a=\frac{v^2}{r}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv%5E2%7D%7Br%7D)
where
v is the speed of the object
r is the radius of the circle
The speed of the object is equal to the ratio between the length of the circumference (
) and the period of revolution (T), so it can be rewritten as
![v=\frac{2\pi r}{T}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B2%5Cpi%20r%7D%7BT%7D)
Therefore we can rewrite the acceleration as
![a=\frac{4\pi^2 r}{T^2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B4%5Cpi%5E2%20r%7D%7BT%5E2%7D)
For the particle in this problem,
r = 2.06 cm = 0.0206 m
While it makes 4 revolutions each second, so the period is
![T=\frac{1}{4}s = 0.25 s](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B1%7D%7B4%7Ds%20%3D%200.25%20s)
Substituting into the equation, we find the acceleration:
![a=\frac{4\pi^2 (0.0206)}{0.25^2}=13.0 m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B4%5Cpi%5E2%20%280.0206%29%7D%7B0.25%5E2%7D%3D13.0%20m%2Fs%5E2)
Learn more about centripetal acceleration:
brainly.com/question/2562955
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