micahwilkerson7447 micahwilkerson7447
  • 25-11-2020
  • Physics
contestada

If a point on the edge of a wheel 2 m in radius is accelerating at 2 m/s2, what is the angular acceleration of the wheel?

Respuesta :

Muscardinus Muscardinus
  • 30-11-2020

Answer:

[tex]\alpha =1\ rad/s^2[/tex]

Explanation:

It is given that,

The radius of a wheel, r = 2 m

Tangential acceleration of the wheel, [tex]a=2\ m/s^2[/tex]

We need to find the angular acceleration of the wheel. We know that the relation between angular and tangential acceleration is given by :

[tex]a=\alpha r\\\\\alpha =\dfrac{a}{r}\\\\\alpha =\dfrac{2}{2}\\\\\alpha =1\ rad/s^2[/tex]

So, the angular acceleration of the wheel is [tex]1\ rad/s^2[/tex].

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