I have a question that is tied into my lab report regarding centripetal force. The question asks if the frequency of rotation were to increase how would the radius r and the centripetal force change?
2[itex]\pi[/itex]f = v/r
rearrange for r:
r = v/(2[itex]\pi[/itex]f)
a = r(ω^2)
F_c = m*a
The Attempt at a Solution
By observing the formula rearranged for r, I believe that the radius is inversely proportional to frequency - so in this case as frequency increases, the radius will decreases.
Is this statement correct?
Since acceleration is dependent on radius and if the radius decreases so does the acceleration due to the direct proportionality between acceleration and radius. This ultimately means that the centripetal force is decreased as well when the frequency is increased
Is this statement also correct?
Your comments are greatly appreciated.