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15 October, 04:29

A racecar experiences a centripetal acceleration of 36.0 m/s2 as it travels at a constant speed of 27.0 m/s along a circular arc. What is the radius of the circle?

9.3 m

0.18 m

20 m

14 m

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Answers (2)
  1. 15 October, 05:13
    0
    Answer: Third option.

    Explanation: The equation for the centripetal acceleration in a circle is calculated as:

    Ac = v^2/r

    where v is the velocity of the car and r is the radius of the circle.

    We know that Ac = 36 m/s^2 and v = 27 m/s, now we can replace it in the equation for Ac and find the value of r.

    36 = 27^2/r

    r = 27^2/36 = 20.25m

    So the radius of the circle is 20.25m, the answer that is more close to it, is the third one, 20m
  2. 15 October, 05:46
    0
    20.25 m

    Explanation:

    Centripetal acceleration is given by; the square of the velocity, divided by the radius of the circular path.

    That is;

    ac = v²/r

    Where; ac = acceleration, centripetal, m/s², v is the velocity, m/s and r is the radius, m

    Therefore;

    r = v²/ac

    = 27²/36

    = 20.25 m

    Hence the radius is 20.25 meters
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