A bicycles wheels are 26 inches in diameter. If each wheel averages 180 revolutions per minute when the bike is moving, approximately how many inches does the bike travel per minute?

Rationale

Approximately 14,700 inches per minute.

To determine the distance traveled by the bicycle per minute based on the wheel's diameter and revolutions, we first calculate the circumference of the wheel using the formula \( C = \pi \times d \), where \( d \) is the diameter. For a 26-inch diameter wheel, the circumference is approximately 81.68 inches. Multiplying this by 180 revolutions gives us about 14,700 inches traveled per minute.

A (14700) CORRECT

This choice is correct. The calculation involves the wheel's circumference, approximately 81.68 inches, multiplied by 180 revolutions per minute, yielding about 14,700 inches traveled per minute.

B (15700) YOUR ANSWER

This choice is incorrect. It suggests that the bike travels 15,700 inches per minute, which would require a larger wheel circumference or a higher number of revolutions than what is provided. The correct calculation shows a distance of approximately 14,700 inches.

C (16700) YOUR ANSWER

This choice is also incorrect. A distance of 16,700 inches per minute implies either a larger wheel size or more revolutions. The actual computed distance, based on the given parameters, is significantly lower.

D (17700) YOUR ANSWER

This choice is incorrect as well. It suggests a travel distance of 17,700 inches per minute, which exceeds the calculated distance of approximately 14,700 inches. The discrepancy arises from incorrect assumptions about wheel size or revolution count.

E (18700) YOUR ANSWER

This option is incorrect. A travel distance of 18,700 inches per minute is unattainable with a 26-inch wheel and 180 revolutions. Accurate calculations show a much lower value.

Conclusion

The distance traveled by the bicycle is determined by the wheel's circumference and the number of revolutions per minute. By calculating the circumference of a 26-inch wheel and multiplying it by the 180 revolutions, we find that the bike travels approximately 14,700 inches per minute. Other options miscalculate the distance, emphasizing the importance of precise mathematical calculations in determining travel distances.

A bicycles wheels are 26 inches in diameter. If each wheel averages 180 revolutions per minute when the bike is moving, approximately how many inches does the bike travel per minute?

Approximately 14,700 inches per minute.

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