Bicycle example for unit conversions.
Gear ratio, force, power.
The bike's wheels have radii of 33 cm (diameter of 26 inches).
• Determine the gear ratio (pedal angular speed / wheel angular speed)
so you can pedal 1.5 rotations per second.
You and your bike have a combined mass of 80 kg.
You can produce 1/8 horsepower (8 strong people equal one horse).
For a 10° hill, calculate the required:
• Force to push you up in units of Newtons and pound-force.
• Power in units of Watts and horse-power.
• Wheel angular speed in units of rad/sec, rpm, and Hertz.
You can produce 1/8 horsepower (8 strong people equal one horse).
For a 10° hill, calculate the required:
• Force to push you up in units of Newtons and pound-force.
• Power in units of Watts and horse-power.
• Wheel angular speed in units of rad/sec, rpm, and Hertz.
Optional: Recalculate the gear ratio, etc. for hills of 20° and 30°.
