The front wheel of a child's tricycle has a 10-inch radius and the rear wheels have a 6-inch radius. The pedals are attached to the front wheels by arms that are 7 inches long. How far does a pedal travel when the rear wheels make one revolution?

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.

To determine how far a pedal travels when the rear wheels make one revolution, we need to understand the relationship between the front and rear wheels and the pedal-arm mechanism.

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 20π inches.