A mass-spring system oscillates with a period of 4 seconds. What is the frequenc
Practice Questions
Q1
A mass-spring system oscillates with a period of 4 seconds. What is the frequency of the oscillation?
0.25 Hz
0.5 Hz
1 Hz
2 Hz
Questions & Step-by-Step Solutions
A mass-spring system oscillates with a period of 4 seconds. What is the frequency of the oscillation?
Step 1: Understand that the period (T) is the time it takes for one complete cycle of oscillation. In this case, T = 4 seconds.
Step 2: Know that frequency (f) is how many cycles occur in one second. It is the reciprocal of the period.
Step 3: Use the formula for frequency: f = 1/T.
Step 4: Substitute the value of T into the formula: f = 1/4.
Step 5: Calculate the frequency: f = 0.25 Hz.
Period and Frequency Relationship – The relationship between the period (T) of an oscillating system and its frequency (f) is given by the formula f = 1/T.
