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The magnitude of the centripetal acceleration of the air plug on a car tire is 308.43 m/s².

What is centripetal acceleration?

Centripetal acceleration of an object is the rate of change of object's velocity with time, and it is directed inwards.

The magnitude of the centripetal acceleration of the air plug on a car tire is calculated as follows;

ac = ω²r

where;

  • ω angular speed (rad/s)
  • r is radius of the tire

Angular speed in radian per second

[tex]\omega = 250 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} \\\\\omega = 26.18 \ rad/s[/tex]

ac = (26.18)² x 0.45

ac = 308.43 m/s²

Thus, the magnitude of the centripetal acceleration of the air plug on a car tire is 308.43 m/s².

Learn more about centripetal acceleration here: https://brainly.com/question/79801

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