A wheel with a tire mounted on it rotates at the constant rate of 2.73 revolutions per second. Find the radial acceleration of a tack stuck in the tire at a distance of 37.7 cm from the rotation axis.

110.9 m/s²

Explanation:

Given:

Distance of the tack from the rotational axis (r) = 37.7 cm

Constant rate of rotation (N) = 2.73 revolutions per second

Now, we know that,

1 revolution = radians

So, 2.73 revolutions =

Therefore, the angular velocity of the tack is,

Now, radial acceleration of the tack is given as:

Plug in the given values and solve for . This gives,

Therefore, the radial acceleration of the tack is 110.9 m/s².

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