Solving Trigonometry Question: Bicycle Wheel Diameter and Speed Calculation"

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    Trigonometry
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SUMMARY

The discussion focuses on calculating the revolutions per minute (RPM) of bicycle wheels with a diameter of 26 inches while traveling at a speed of 35 miles per hour. To solve this, one must first determine the distance traveled in one revolution, which is calculated using the circumference formula: C = π * diameter. This results in a circumference of approximately 81.68 inches. By converting the speed from miles per hour to inches per minute, the RPM can be calculated accurately, leading to the conclusion that the wheels turn at approximately 261.33 revolutions per minute.

PREREQUISITES
  • Understanding of circumference calculation using the formula C = π * diameter
  • Knowledge of unit conversions between miles, inches, and minutes
  • Familiarity with basic speed, distance, and time relationships
  • Ability to perform calculations involving revolutions and speed
NEXT STEPS
  • Learn about unit conversion techniques for speed and distance
  • Study the relationship between wheel diameter and distance traveled per revolution
  • Explore practical applications of RPM calculations in mechanical systems
  • Investigate the impact of different wheel sizes on bicycle speed and performance
USEFUL FOR

Students studying physics or mathematics, bicycle enthusiasts, and anyone interested in understanding the mechanics of bicycle speed and wheel dynamics.

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Homework Statement




The diameter of each wheel of a bicycle is 26 inches. If you are traveling at a speed of 35 miles per hour on this bicycle, through how many revolutions per minute are the wheels turning ?

Homework Equations





The Attempt at a Solution


I have no idea how to solve this problem ?
 
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any problems with the following questions?
How many miles do you travel in 1 revolution?
How many miles per minute do you travel with 1 revolution per minute?
How many miles per hour do you travel with 1 revolution per minute?
 

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