A wheel with radius 2 cm is being pushed up a ramp at a rate of 6 cm per second. The ramp is 520 cm long, and 260 cm tall at the end. A point P is marked on the circle. How far does the wheel travel in one rotation?
Discard the noise -- all we care about is the circumference of the wheel.
C = 2pi r = 4pi cm
To find how far the wheel travels in one rotation, we need to calculate the circumference of the circle.
The circumference of a circle is given by the formula: C = 2πr, where C is the circumference and r is the radius.
In this case, the radius of the wheel is given as 2 cm. Therefore, the circumference of the wheel can be calculated as:
C = 2π * 2 cm
To find how far the wheel travels in one rotation, we need to know how many centimeters are there in one rotation. Since one rotation corresponds to one full circle, the distance traveled in one rotation is equal to the circumference of the wheel.
Substituting the radius value into the formula, we have:
C = 2π * 2 cm
C = 4π cm
Therefore, the wheel travels a distance of 4π cm in one rotation.