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Topic: **How to write a constant of proportionality****Question:**
Ok I have a specific question and then a much more general question.. ok, here it goes:
1) what is proportionality anyway? how is it useful?
2) using the formula F = (m . v^2)/r show that r is proportionate to T^2 [where r is radius of uniform circular motion, v is velocity of the object undergoing circular motion, m is the mass of the object undergoing circular motion and T is the period)
thanks guys :)

July 16, 2019 / By Candy

1)Normally any proportionality condition is conditional. If we say variable A is proportional to Variable B. means keeping everything else same if A changes by a factor of k then B also changes by the same factor. Thus it is useful if change in one is given one can find the change in another. 2) F = (m . v^2)/r = [m*(2*pi*r/T)^2]/r = (2*m*pi*r)/(T^2) This equation can be written as r = [F/(2*pi*m)](T^2) So we see that if F and m are constant, we know pi is constant, r will change in the same ratio as T^2. Or we say 'r' is proportional to 'T^2'. If r doubles T^2 also doubles if r becomes one-fifth T^2 also becomes one-fifth.

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Did you like the answer? We found more questions related to the topic: **How to write a constant of proportionality**

You can ask them to write one, but it's not going to look good. If you want to do an REU in physics, you should be a physics major. If that's the case, you should have been taking physics classes this year - if you placed out of the intro classes, you should be in modern, classical, or E&M at the least. With only AP physics behind you, you have a very poor shot at an REU. They are very competitive, and they look at your physics and math coursework. They also prefer it if you have done research at your own institution already. With no college level physics classes, no research at your own school, and no one to recommend you from the college level, your chances of getting into an REU are extremely poor.

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