Question: If the angular frequency of a simple harmonic motion is 5 rad/s, what is the time period?
Options:
0.2 s
0.4 s
1.25 s
2 s
Correct Answer: 0.2 s
Solution:
The time period T is given by T = 2π/ω. Therefore, T = 2π/5 = 0.4 s.
If the angular frequency of a simple harmonic motion is 5 rad/s, what is the tim
Practice Questions
Q1
If the angular frequency of a simple harmonic motion is 5 rad/s, what is the time period?
0.2 s
0.4 s
1.25 s
2 s
Questions & Step-by-Step Solutions
If the angular frequency of a simple harmonic motion is 5 rad/s, what is the time period?
Step 1: Understand that angular frequency (ω) is given as 5 rad/s.
Step 2: Know the formula to find the time period (T) of simple harmonic motion, which is T = 2π/ω.
Step 3: Substitute the value of ω into the formula: T = 2π/5.
Step 4: Calculate the value of T. First, find 2Ï€, which is approximately 6.28.
Step 5: Divide 6.28 by 5 to get T: T = 6.28/5 = 1.256.
Step 6: Round the answer to one decimal place if needed. Here, T is approximately 1.26 seconds.
Angular Frequency and Time Period – Understanding the relationship between angular frequency (ω) and time period (T) in simple harmonic motion, where T = 2π/ω.
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