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Question

the wheels on a bycycle have a diameter of 27 in. how far does the bicycle travel with each turn of the wheels?

The hour hand of a large clock is 6 ft long. How far does the point of the hand move in one hour?

Answer 1

bicycle:

c = pi x D

c = 3.1416 x 27 = 84.82 in = 7.1 ft traveled in one rotation

Clock:

c = 2pi x r

c = 2 x 3.1416 x 6 ft

c = 37.7 ft traveled by the minute hand

37.7 / 12 = 3.14 ft traveled by the hour hand.

Answer 2

One turn of the wheel is equal to the circumference of it, so calculate that first:

c=pi*diameter (or 2*pi*r)

c=27*pi

So the bike travels 27*pi inches with every turn. (approx. 84.82 in.)

We'll assume the hour hand of the clock reaches to the edge of the circle, and we'll call 6 feet the radius. Again, find the circumference of the clock:

c=2*pi*radius

c=2*pi*6 = 12*pi

The hour hand travels 12*pi ft. in one hour. (approx. 37.70 ft.)

Answer 3

1. 27 pi inches -- just under 85 inches.

2. 6 x 2 pi/12 feet = 3.14 feet.