A mass-spring system oscillates with a period of 2 seconds. What is the frequenc
Practice Questions
Q1
A mass-spring system oscillates with a period of 2 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 2 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, the period is given as 2 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 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 oscillations per unit time, and it is the reciprocal of the period, which is the time taken for one complete cycle of oscillation.