arinjaza7 arinjaza7

24-06-2024
Physics

Answered

An Indy car can complete 120 laps in 1.5 h. Even though the track is an oval rather than a circle, you can still find the average angular speed. Calculate the average angular speed of the Indy car.

Answer :

MathPhys MathPhys

24-06-2024

Answer:

8.4 rad/min

Explanation:

The average angular speed is equal to the total angular distance divided by the total time. The angular distance is the number of radians traveled. One lap or revolution is equal to 2π radians. Therefore, the total angular distance is:

120 laps × (2π rad/lap) = 240π radians

The average angular speed is:

(240π rad) / (1.5 h) ≈ 503 rad/h

Or, in radians per minute:

503 rad/h × (1 h / 60 min) ≈ 8.38 rad/min

Rounded to two significant figures, the average angular speed is 8.4 rad/min.

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