SOLUTION: A bicycle wheel is 30 inches in diameter. a.To the nearest revolution, how many times will the wheel turn if the bicycle is ridden for 3 miles? b. Suppose the wheel turns at a c

Algebra ->  Trigonometry-basics -> SOLUTION: A bicycle wheel is 30 inches in diameter. a.To the nearest revolution, how many times will the wheel turn if the bicycle is ridden for 3 miles? b. Suppose the wheel turns at a c      Log On


   

Question 405549: A bicycle wheel is 30 inches in diameter.
a.To the nearest revolution, how many times will the wheel turn if the bicycle is ridden for 3 miles?
b. Suppose the wheel turns at a constant rate of 2.75 rev per second. What is the linear velocity in mph of a point in the tire?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A bicycle wheel is 30 inches in diameter.
:
Find the circumference of the wheel
C = 30%2Api
:
a. To the nearest revolution, how many times will the wheel turn if the bicycle is ridden for 3 miles?
r = %283%2A5280%2A12%29%2F%2830%2Api%29
r ~ 2017 revolutions
:
b. Suppose the wheel turns at a constant rate of 2.75 rev per second. What is the linear velocity in mph of a point in the tire?
S(mph) = %2830%2Api%2A2.75%2A3600%29%2F%285280%2A12%29
S = 14.726 mph