In uniform circular motion, what is the relationship between the period $T$ and the frequency $f$?

• A. $f=\frac{1}{T}$
• B. $f=T$
• C. $T=f$
• D. $T=\frac{1}{f^2}$

Answer: (A)

Verified step by step guidance

1. Understand that in uniform circular motion, the period \(T\) is the time taken for one complete revolution around the circle.
2. Recognize that the frequency \(f\) is the number of complete revolutions per unit time (usually per second).
3. Since frequency measures how many cycles occur in one second, and period measures how many seconds one cycle takes, they are inversely related.
4. Express this inverse relationship mathematically as \(f = \frac{1}{T}\), meaning frequency is the reciprocal of the period.
5. Similarly, you can write the period in terms of frequency as \(T = \frac{1}{f}\).