# Circular Motion Lab Report Physics

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In this lab, you are going to play through a toy. Here is a diagram of this toy.

Basically, this is a mass on a string attached to a rubber stopper. The string passes with a glass tube. Tright here is a piece of tape to assist you save the size of the string outside the glass tube constant. The means you usage this toy is to spin the rubber stopper roughly in a circle. Here is an example: Circular Motion Lab from Rhett Allain on Vimeo.

So, what are you going to do? First, the physics. If I were to draw totally free body diagram for the stopper at the over instant, it would look favor this:
Tright here are only 2 forces on the stopper, the stress and anxiety from the string and the gravitational pressure. The net pressure is NOT zero. This is bereason the stopper is accelerating. It is relocating at a consistent speed, however changing direction. When a things moves in a circle, it has a magnitude of acceleration:
The direction of the acceleration is towards the facility of the circle. If you want to know wbelow this formula originates from, check this out. So, for the above immediate, the acceleration would certainly be in the negative x-direction. If I compose down the pressure equation for the x- and y-direcitons, I obtain (note that hte acceleration in the y-direction is zero m/s2).
(note - this mass is the mass of the stopper) What can you measure and what can you settle for? First, there is a partnership between r and L:
You can measure: - The tension ( T ). This is just the mass times g (the mass of the hanging mass). - The length ( L ). Remember, this is the distance from the suggest of rotation to the facility of the stopper. - The duration of the rotation - exactly how lengthy it takes to complete one rdevelopment. This will be easiest to measure by timing say 10 rotations and also splitting by 10. From the duration, you can uncover the velocity:
What around theta? Is there anyway to acquire the angle from the diagram? Yes. Just look at the y-direction and solve for theta:
I am not going to put all this together for you. But, let me say this. If you keep the mass on the bottom of the string (M2) consistent, then there is a partnership in between the length of the string and the duration - I am not saying it is a linear relationship. So, below is what you are going to do: - Pick a mass to hang on the finish of the string. If you pick somepoint really high, you are going to have to swing that stopper really fast and poor points might occur. - For that mass, pick a size of string to be hanging out of the string holder. You can keep track of what this length is by putting a piece of tape at the bottom of the string holder (glass rod). Make sure while you are swinging the stopper that the tape stays stationary yet does not touch the glass. - Get the point swinging. - The swinging perkid should only concentprice on making certain the tape stays consistent - Someone demands to count 10 or so periods and time it. Repeat this process 5 times to obtain an uncertainty. - Change the size of the string and execute it aobtain. - Do this for 5 different lengths of string. - Make an a graph that mirrors a linear function (it will certainly involve the duration and the length). Find the slope of this direct graph and also number out what it means. Extra stuff: - Calculate what your angle is. If you want to examine it, you can take a picture of the stopper swinging (I can help you through this).