Hello, I'm not sure how to do this question.
Question
A wheel with radius 5 cm is being pushed up a ramp at a rate of 4 cm per second. The ramp is 620 cm long, and 180 cm tall at the end. A point P is marked on the circle as shown
How far does the wheel travel in one rotation?
Picture: Unfortunately the picture can't be posted here. The picture was basically a circle on edge of a triangle.
Please help!
How far does the wheel travel in one rotation?
C = pi * d
C = 3.14 * 10
C = 10 cm
The wheel travels 10 cm in one rotation.
To answer the question, we first need to understand the relationship between the measurements given in the problem.
From the information given, we know that the wheel has a radius of 5 cm. This means that the distance from the center of the circle to any point on the edge is 5 cm.
We also know that the wheel is being pushed up a ramp at a rate of 4 cm per second. This means that the distance from the base of the ramp to the point where the wheel touches the ramp increases by 4 cm every second.
Now, let's analyze the picture you mentioned. The triangle represents the ramp, and the circle represents the wheel. The point P is marked on the wheel. Based on the description, it seems like P represents a particular point on the circle.
To find out how far the wheel travels in one rotation, we need to determine the distance covered by the point P on the circle.
Since we know that the radius of the circle is 5 cm, we can see that the circumference of the circle (or the distance around the circle) is 2πr = 2π(5) = 10π cm.
So, in one rotation, the point P on the wheel travels a distance equal to the circumference of the circle, which is 10π cm.
Thus, the answer to the question is that the wheel travels a distance of 10π cm in one rotation.
I hope this explanation helps you understand how to approach this problem. If you have any further questions, please let me know!