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A rock tied to a string is traveling at a constant speed of 4 m/s in a circle of
radius 1.5 m. Calculate the magnitude of the centripetal acceleration of the
rock. What is the direction of the acceleration?

Respuesta :

The centripetal acceleration of the rock is [tex]10.7 m/s^2[/tex], towards the centre of the circle

Explanation:

The centripetal acceleration of an object in circular motion is given by the equation:

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

where

v is the speed of the object

r is the radius of the circular path

And the direction of the centripetal acceleration is always toward the centre of the circle.

For the rock in this problem, we have:

r = 1.5 m is the radius of the circle

v = 4 m/s is the speed

Substituting, we find the centripetal acceleration:

[tex]a=\frac{(4)^2}{1.5}=10.7 m/s^2[/tex]

And the direction is towards the centre of the circle.

Learn more about centripetal acceleration:

brainly.com/question/2562955

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