A bicycle has wheels 700 mm in diameter and a gear set with the dimensions given in the table below.
Figure P6.29
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 has a cadence of 1 Hz, determine the angular speed of the rear wheel in rpm when using the combination of C3 and S2. In addition, knowing that the speed of the cyclist is equal to the speed of a point on the tire relative to the wheel’s center, determine the cyclist’s speed in m/s.
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