the front wheel makes 6/10 of a turn for every turn of the rear wheel.
So, the pedals move (6/10)*2pi*7 inches during that time.
So, the pedals move (6/10)*2pi*7 inches during that time.
First, let's calculate the circumference of the rear wheels. The circumference of a circle is given by the formula: circumference = 2 * π * radius.
For the rear wheels with a radius of 6 inches:
Circumference of rear wheels = 2 * π * 6 inches = 12π inches.
Now, let's consider the front wheel and the pedal-arm mechanism. The pedal-arm, attached to the front wheel, acts like a lever. When the rear wheels make one revolution (i.e., travel a distance equal to their circumference), the pedal-arm also makes one revolution. The distance traveled by the pedal is determined by the circumference of the circle it traces.
The circumference of the circle traced by the pedal-arm is given by the formula: circumference = 2 * π * radius.
For the front wheel with a radius of 10 inches:
Circumference of front wheel = 2 * π * 10 inches = 20π inches.
Therefore, when the rear wheels make one revolution, the pedal attached to the front wheel travels a distance of 20Ï€ inches.