Question: A mass-spring system oscillates with a frequency of 5 Hz. What is the period of the motion?
Options:
0.2 s
0.5 s
1 s
2 s
Correct Answer: 0.2 s
Solution:
Period T = 1/f = 1/5 = 0.2 s.
A mass-spring system oscillates with a frequency of 5 Hz. What is the period of
Practice Questions
Q1
A mass-spring system oscillates with a frequency of 5 Hz. What is the period of the motion?
0.2 s
0.5 s
1 s
2 s
Questions & Step-by-Step Solutions
A mass-spring system oscillates with a frequency of 5 Hz. What is the period of the motion?
Step 1: Understand that frequency (f) is how many times something happens in one second. In this case, the frequency is given as 5 Hz.
Step 2: Know that the period (T) is the time it takes for one complete cycle of motion. It is the inverse of frequency.
Step 3: Use the formula for period: T = 1/f.
Step 4: Substitute the frequency into the formula: T = 1/5.
Step 5: Calculate the result: T = 0.2 seconds.
Frequency and Period – The relationship between frequency (f) and period (T) is given by the formula T = 1/f, where T is the time taken for one complete cycle of oscillation.
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