A squirrel runs at a steady rate of 0.51 m/s in a circular path around a tree. If the squirrel's centripetal acceleration is 0.43 m/s 2 , what is the radius of the circle?



0.60 m 1.2 m 0.36 m 0.84 m

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Answer:

Radius of the circle, r = 0.60 meters.

Step-by-step explanation:

It is given that,

Speed of the squirrel, v = 0.51 m/s

The centripetal acceleration of the squirrel, [tex]a=0.43\ m/s^2[/tex]

We need to find the radius of the circle. The centripetal acceleration is given by :

[tex]a=\dfrac{v^2}{r}[/tex]

[tex]r=\dfrac{v^2}{a}[/tex]

[tex]r=\dfrac{(0.51)^2}{0.43}[/tex]

r = 0.60 m

So, the radius of the circle is 0.60 meters. Hence, this is the required solution.