What Is the Average Angular Speed of a Race Car on a Circular Track?

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To calculate the average angular speed of a race car making two laps around a circular track in 3.8 minutes, first determine the total angle swept, which is 720 degrees or 4π radians (since one lap equals 360 degrees). The total time taken is 3.8 minutes, which converts to 228 seconds. The average angular speed can then be calculated using the formula: angular speed = total angle / total time. Thus, the average angular speed of the race car is approximately 0.0174 radians per second. This calculation provides insight into the car's performance on the track.
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Homework Statement



A race car makes two laps around a circular track in 3.8 minutes. What is car's average angular speed?
 
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One step at a time. What angle has the car swept?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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