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27 May, 12:00

Which expression can be used to calculate centripetal acceleration?

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  1. 27 May, 12:22
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    We can use multiple expressions to calculate centripetal acceleration, depending on the physical problem:

    Centripetal acceleration with tangental velocity:

    a=v²/r, where v is tangental velocity and r is the radius of the circular trajectory.

    Centripetal acceleration with angular velocity:

    a=ω²r, where ω is the angular velocity and r is the radius if the circular trajectory.

    We can calcualte it from the centripetal force Fcp:

    Fcp=m*a, so a=Fcp/m, where m is mass and a is the centripetal acceleration.

    And also from the equation:

    a=√ (a₁²+a₂²), where a is total acceleration, a₁ is centripetal acceleration and a₂ is the tangental acceleration, so to get a₁, or centripetal acceleration:

    a₁=√ (a²-a₂²)
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