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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