Question: A pendulum swings with a period of 2 seconds. What is the frequency of the pendulum?
Options:
0.25 Hz
0.5 Hz
1 Hz
2 Hz
Correct Answer: 0.5 Hz
Solution:
Frequency (f) is the reciprocal of the period (T). Therefore, f = 1/T = 1/2 = 0.5 Hz.
A pendulum swings with a period of 2 seconds. What is the frequency of the pendu
Practice Questions
Q1
A pendulum swings with a period of 2 seconds. What is the frequency of the pendulum?
0.25 Hz
0.5 Hz
1 Hz
2 Hz
Questions & Step-by-Step Solutions
A pendulum swings with a period of 2 seconds. What is the frequency of the pendulum?
Step 1: Understand that the period (T) is the time it takes for one complete swing of the pendulum. In this case, the period is given as 2 seconds.
Step 2: Know that frequency (f) is how many times the pendulum swings in one second. It is the reciprocal of the period.
Step 3: Use the formula for frequency: f = 1/T.
Step 4: Substitute the period into the formula: f = 1/2.
Step 5: Calculate the frequency: f = 0.5 Hz.
Frequency and Period Relationship – Frequency is the number of cycles per second, and it is the reciprocal of the period, which is the time taken for one complete cycle.
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