How are the period (T) and frequency (f) of an object in circular motion related?
Understand the Problem
The question is asking about the relationship between the period (T) and frequency (f) of an object undergoing circular motion. Period refers to the time it takes for one complete revolution, while frequency refers to the number of revolutions per unit of time. We need to recall the formula that directly links these two quantities.
Answer
Period and frequency are inversely related, f = 1/T.
The period (T) and frequency (f) of an object in circular motion are inversely related. The formula that relates them is f = 1/T, where 'f' is the frequency and 'T' is the period.
Answer for screen readers
The period (T) and frequency (f) of an object in circular motion are inversely related. The formula that relates them is f = 1/T, where 'f' is the frequency and 'T' is the period.
More Information
Period is the time it takes for one complete revolution, while frequency is the number of revolutions per unit of time.
Tips
A common mistake is to confuse period and frequency. Remember that they are inversely related, so if one increases, the other decreases.
Sources
- 6.4: Period and Frequency for Uniform Circular Motion - phys.libretexts.org
- Period and Frequency in Uniform Circular Motion Explained - Pearson - pearson.com
- Connecting period and frequency to angular velocity - Khan Academy - khanacademy.org
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