A race car, starting from rest, travels around a circular turn of radius 20.8 m. At a certain instant, the car is still accelerating, and its angular speed is 0.515 rad/s. At this time, the total acceleration (centripetal plus tangential) makes an angle of 35.1° with respect to the radius. What is the magnitude of the total acceleration?

1 answer

The ratio of centripetal to tangential acceleration is the tangent of 35.1 degrees. You can compute the centripetal accleration (V^2/R) and get the tangential and magnitude from the angle.

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