The definition of centripetal acceleration allows to find the result for the linear velocity of the body is:
v = 2.99 m / s
Kinematics studies the movement of bodies, the centripetal acceleration is the acceleration that a body has where all the energy is used to change the direction of the speed, leaving its modulus constant.
[tex]a= \frac{v^2}{R}[/tex]
Where a is the acceleration ccentripette, v the modulus of the velocity and R the radius of gyration.
They indicate that the radius is R = 4.2 m and the centripetal acceleration is a = 2.13 m / s, let's find the modulus of the velocity.
[tex]v= \sqrt{a R}[/tex]
Let's calculate
v = [tex]\sqrt{2.13 \ 4.2}[/tex]
v = 2.99 m / s
In conclusion using the definition of centripetal acceleration we can find the result for the tangential velocity of the body is:
v = 2.99 m / s
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