Angle Measure Worksheet With Answers - Section 6.1 Page 10

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EXAMPLE: A woman is riding a bicycle whose wheels are 26 inches in diameter. If the wheels
rotate at 125 revolutions per minute (rpm), find the speed at which she is traveling, in mi/h.
Solution: The angular speed of the wheels is 2π · 125 = 250π rad/min. Since the wheels have
radius 13 in. (half the diameter), the linear speed is
v = rω = 13 · 250π ≈ 10, 210.2 in./min
Since there are 12 inches per foot, 5280 feet per mile, and 60 minutes per hour, her speed in
miles per hour is
10, 210.2 in./min × 60 min/h
612, 612 in./h
≈ 9.7 mi/h
=
12 in./ft × 5280 ft/mi
63, 360 in./mi
10

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