Ok so I am still coming up with problems is it possible for bobpursley to answer this: why does Centripetal force increase with frequency, and same with radius? Thanks for the help

Bobpursley is offline. He'll probably be back online in the morning. Please be patient.

You are going to have to study centripetal forces, and what it means. In order for an object to be in a curved path, according to Newtons first law, some force has to operate on it to change its straight path into curved. This force is called centripetal force, and it causes an acceleration inwardward toward the center. It is equal to mass*velocity^2/radius.

http://hyperphysics.phy-astr.gsu.edu/hbase/cf.html

I can certainly help answer your question about the relationship between centripetal force and frequency and radius. While bobpursley may provide a direct answer, I can explain how to approach this question.

Centripetal force is the force required to keep an object moving in a circular path. It is always directed towards the center of the circle and is necessary to maintain the object's curved motion. The magnitude of centripetal force depends on a few factors, including the frequency (f) and radius (r) of the circular path.

To understand why centripetal force increases with frequency and radius, we can use the following equations:

1. Centripetal force (Fc) = (mass (m) x velocity (v)^2) / radius (r)
2. Frequency (f) = (velocity (v)) / (2π x radius (r))

Let's analyze each factor separately:

1. Frequency (f): The frequency of an object moving in a circular path refers to the number of complete revolutions it makes per unit time. As the frequency increases, the object completes more revolutions in a given time. This means that the object is moving faster along the circular path. From the equation above, we can see that velocity (v) is squared, meaning that an increase in velocity will lead to a greater increase in the centripetal force.

2. Radius (r): The radius refers to the distance from the center of the circle to the object. When the radius is increased, the object has to cover a greater distance to complete one revolution. This implies that the object has to move faster to maintain the same frequency. As we saw earlier, an increase in velocity leads to a greater increase in centripetal force.

In conclusion, the centripetal force increases with frequency and radius because an increase in either or both factors leads to a higher velocity, which in turn requires a greater centripetal force to maintain the object's circular motion.

I hope this explanation helps you understand the relationship between centripetal force, frequency, and radius. If you have any further questions, feel free to ask!