Answer:
1)
Using the condition given:
So then if we want to create an equation we need to do this:
With K a constant. For this case the period of a pendulumn is given by this general expression:
Where L is the length in m and g the gravity .
2)
If we square both sides of the equation we got:
And solving for L we got:
Replacing we got:
3)
Step-by-step explanation:
Part 1
For this case we know the following info: The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillation), T seconds.
Using the condition given:
So then if we want to create an equation we need to do this:
With K a constant. For this case the period of a pendulumn is given by this general expression:
Where L is the length in m and g the gravity .
Part 2
For this case using the function in part a we got:
If we square both sides of the equation we got:
And solving for L we got:
Replacing we got:
Part 3
For this case using the function in part a we got:
Replacing we got: