Question

how does the distance you determined in part c change if the radius of the small gear is 1.5 inches and the radius of the large gear is 45 inches?

Answer 1

If the radius of the smaller gear is 1.5 inches and the radius of the large gear is 4.5 inches then the bicycles can travel a distance of 62.83 inches.

Given radius of the small gear=1.5 inches and radius of the larger gear=4.5 inches.

Number of rotation of the small gear for each rotation of the larger gear=4.5/1.5=3

Distance which the bicycle can travel=3*2πr.

=3*2*π*10

=60π inches.

Difference in distance travelled=60π inches-40π inches.

=20π inches

put π=3.14

=20*3.14

=62.83 inches.

Hence the distance that the bicycle travels is 62.83 inches if the radius of smaller gear is 1.5 inches and radius of the larger gear is 4.5 inches.

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Question is incomplete as it should includes:

Description about the question that person is travelling through bicycle. That's why radius of gears has been given.