What is the relationship between the period and frequency of a simple harmonic oscillator?
Practice Questions
1 question
Q1
What is the relationship between the period and frequency of a simple harmonic oscillator?
T = f
T = 1/f
T = f^2
T = 2f
The period (T) is the reciprocal of frequency (f), so T = 1/f.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the relationship between the period and frequency of a simple harmonic oscillator?
Solution: The period (T) is the reciprocal of frequency (f), so T = 1/f.
Steps: 5
Step 1: Understand what frequency (f) means. Frequency is how many times something happens in one second.
Step 2: Understand what period (T) means. The period is the time it takes for one complete cycle of motion.
Step 3: Recognize that period and frequency are related. If something happens more times in a second (higher frequency), it takes less time for one cycle (shorter period).
Step 4: Learn the formula that connects them: T = 1/f. This means the period is equal to one divided by the frequency.
Step 5: If you know the frequency, you can find the period by using the formula. For example, if f = 2 Hz, then T = 1/2 = 0.5 seconds.
