The wheels on a racing bicycle have a radius of 10 inches. How fast is the cyclist traveling in miles per hour if the wheels are turning at 320 revolutions per minute?
The wheels on a racing bicycle have a radius of 10 inches. How fast is the cyclist traveling in miles per hour if the wheels are turning at 320 revolutions per minute?
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
The wheels on a racing bicycle have a radius of 10 inches. How fast is the cyclist traveling in miles per hour if the wheels are turning at 320 revolutions per minute?
Transcribed Image Text:hment/2022sp-mat-172-002/Assignments/3e79597b-8870-4b79-a063-6b30212540f8/quiz_2.pdf
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answer to 2 decimal places.
2. The wheels on a racing bicycle have a radius of 10 inches. How fast is the cyclist
traveling in miles per hour if the wheels are turning at 320 revolutions per
minute? Round your answer to 2 decimal places.
Expert Solution
Step 1
Circumference of wheel = 2πr
= 2 × 22/7 × 10 inches
Distance covered in 1 min = 2×22/7×10×320
= 140800/7 inches
Distance covered in 1 hour = 140800/7 × 60
= 8448000/7 inches
1 inch = 1.578 × 10-5 miles
Distance = 8448000/7 × 1.578 ×10-5 miles
= 133.31 miles
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