The new period will be 2T
<h3>Further explanation</h3>
Simple Harmonic Motion is a motion where the magnitude of acceleration is directly proportional to the magnitude of the displacement but in the opposite direction.
The pulled and then released spring is one of the examples of Simple Harmonic Motion. We can use the following formula to find the period of this spring.
<em>T = Periode of Spring ( second )</em>
<em>m = Load Mass ( kg )</em>
<em>k = Spring Constant ( N / m )</em>
The pendulum which moves back and forth is also an example of Simple Harmonic Motion. We can use the following formula to find the period of this pendulum.
<em>T = Periode of Pendulum ( second )</em>
<em>L = Length of Pendulum ( kg )</em>
<em>g = Gravitational Acceleration ( m/s² )</em>
Let us now tackle the problem !
<u>Given:</u>
initial period of a simple pendulum = T₁ = T
initial length of simple pendulum = L
final length of simple pendulum = 4L
<u>Asked:</u>
final period of a simple pendulum = T₂ = ?
<u>Solution:</u>
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Physics
Chapter: Simple Harmonic Motion