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If an object moves in uniform circular motion in a circle of radius R=2.00 meters, and the object takes 5.00 seconds to
complete ten revolutions, calculate the centripetal acceleration.
• ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are
measurements.
a=
m/s2
39.4 m/s2
50.2 m/s2
100. m/s2
158 m/s2

Respuesta :

Answer:

The centripetal acceleration of the object is [tex]315.5\ m/s^2[/tex].  

Explanation:

We have,

Radius of a circular path is 2 m

It takes 5 seconds to complete 10 revolutions. It means its angular velocity is :

[tex]\omega=\dfrac{\Delta \theta}{\Delta t}\\\\\omega=\dfrac{2\pi \times 10}{5}\\\\\omega=12.56\ rad/s[/tex]

The centripetal acceleration of the object is given by :

[tex]a=\omega^2 r\\\\a=(12.56)^2 \times 2\\\\a=315.5\ m/s^2[/tex]

So, the centripetal acceleration of the object is [tex]315.5\ m/s^2[/tex].

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