Problem

A bicycle has wheels 700 mm in diameter and a gear set with the dimensions given in the ta...

A bicycle has wheels 700 mm in diameter and a gear set with the dimensions given in the table below.

Figure P6.31

Crank

Sprocket

C1

C2

C3

No. of Cogs

26

36

48

Radius (mm)

52.6

72.8

97.0

Cassette (9 speeds)

Sprocket

S1

S2

S3

S4

S5

S6

S7

S8

S9

No. of Cogs

11

12

14

16

18

21

24

28

34

Radius (mm)

22.2

24.3

28.3

32.3

36.4

42.4

48.5

56.6

68.7

If a cyclist is pedaling so that the rear wheel rotates with an angular speed of 16 rad/s, determine all possible (rear) sprocket/chain ring (crank-mounted sprocket) combinations that would allow him or her to pedal with a frequency within the range 1.00–1.25 Hz.

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