# Math

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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 on the tire?

• Math -

c = pi*D = 3.14 * 30 = 94.2in. = 7.85ft = circumference.

3mi = 3mi * 5280ft/mi = 15840ft.

a. Rev = 15840ft / 7.85ft/rev = 2018.

b. V = 2.75rev/s * 7.85ft/rev * (1/5280)mi/ft * 3600s/h = 14.7mi/h.

• Math -

a bicycle wheel is 63 cm in diameter. how many complete turns does it make in travelling 1 kilometer

• Math -

128km

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