How fast would a car have to round 85 m - radius turn for its acceleration to be numerically equal to that of gravity?

Question

Paityn Mckay

Physics

13 April, 19:08

How fast would a car have to round 85 m - radius turn for its acceleration to be numerically equal to that of gravity?

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Answers (1)

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Patterson · Answer 1

A car would need to be moving with a velocity of 28.86 m/s for its acceleration to be numerically equal to the acceleration due to gravity.

Explanation:

Radial acceleration for an object in circular motion is given by

α = v²/r

α = g = 9.8 m/s²

v = ?

r = 85 m

9.8 = v²/85

v² = 9.8 * 85 = 833

v = 28.86 m/s