Solving Pendulum Questions: Length, Quick Swings, Clocks, Mount Everest & Moon

[yeopar]

Homework Statement

1) If you wanted to build a pendulum that took a long time to make a full swing, what would you have to do about the length?

2) what if you wanted the reverse- a quick-swinging pendulum?

3) If you want to make a pendulum clock with a period of 2 seconds, what should its length be?

what would be the length of you wanted a 1 second pendulum clock?

would these clocks still keep accurate time if you moved then to the top of Mount Everest or the Moon? Explain

Homework Equations

there is none...?

The Attempt at a Solution

i think it is based on common sense which i am lacking of...

 

[Redsummers]

There is one formula which may be helpful, take a look at the mathematical pendulum formula (I'm assuming it's not a physical pendulum that we are dealing with, maybe?).

$$T = 2\pi \sqrt{\frac{l}{g}}$$

Give it a try with the maths now.