Centripetal force experiment help

[kisha]

i am confused.i need help with this experiment.

experiment set up:
http://img155.imageshack.us/img155/4027/20120428151358.png

1.measure total mass M of the crocodile clip and load.(in gram)
2.measure a length L of the string from the glass tube.
3.hold the tube vertically and whirl the rubber bung around.
4.measure the time t required for the bung to complete 50 revolutions.
5.repeat step 2-3 using different L.
6.plot t^2 against L.
7.prove [PLAIN]http://img577.imageshack.us/img577/7543/20120428153604.png

how to prove[PLAIN]http://img577.imageshack.us/img577/7543/20120428153604.png by using Mg=mLω^2 and ω=2∏/T(period)?

 

[K^2]

Solve your equations for t(L). What is the slope of f(L)=t²(L)?

 

[kisha]

slope=t²/L

 

[K^2]

Well, yeah, but what's t²?

 

[PJC01]

Hello,

Thank you for reaching out for help with your experiment. I am happy to assist you in understanding how to prove the relationship between centripetal force and the variables in your experiment.

First, let's review the basic concepts of centripetal force. Centripetal force is the force that keeps an object moving in a circular motion. In your experiment, the rubber bung is attached to a string and is being whirled around in a circular motion. The force that is keeping the bung moving in a circle is called the centripetal force.

Now, let's look at the equation Mg=mLω^2. This equation represents the centripetal force acting on the bung. M represents the total mass of the system, which includes the crocodile clip and the load. g represents the acceleration due to gravity. m represents the mass of the bung. L represents the length of the string. And ω represents the angular velocity of the bung.

To prove the relationship between centripetal force and the variables in your experiment, we can use the equation ω=2∏/T, where T represents the period, or the time it takes for the bung to complete one full revolution.

Now, let's substitute ω=2∏/T into the equation Mg=mLω^2. We get:

Mg=mL(2∏/T)^2

Simplifying this equation, we get:

Mg=mL(4∏^2/T^2)

Next, we can rearrange this equation to get:

T^2=4∏^2L/g

Now, if we plot T^2 against L, we should get a straight line with a slope of 4∏^2/g. This slope represents the relationship between centripetal force and the length of the string. This proves the relationship shown in the image you provided.

I hope this helps clarify the relationship between centripetal force and the variables in your experiment. If you have any further questions, please don't hesitate to ask.

Best,