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#### Lab: Circular motion Objective:  To explore between different variables involves in uniform circular motion

###### Physics

Lab: Circular motion

Objective:  To explore between different variables involves in uniform circular motion.

Introduction:  Motion of an object in a circular path with constant speed is the uniform circular motion.

Centripetal force F=mv2R        speed v=2πRT ;    T = Time period or time of one complete rotation

Instruction:

2. Watch a you tube video by clicking on lower left corner “How to Video”

3. Click on “Lab direction” scroll down to YouTube video and click to play

The weight of the hanging mass is the force which keeps the mass rotating in a circle as in YouTube video. The weight of hanging mass is the centripetal force.

Instruction:

1. Set the radius R = 2.0 m

2. Time for 10 complete rotations.

3. Divide the time of 10 complete rotation by 10 to get time period.

5. Tabulate the value of force (Weight of hanging mass)

6. Click on new speed ( DO NOT CHANGE THE RADIUS) repeat from step 2- 5.

Rotating mass (m) = 1.5 kg

 Observation Force (F) Time for 10 rotation s Time period (T)  s 1T2 1 2 3 4 5

7. Open a excel or any other graphing application.  If you know excel graphing move to step 12.

8. Copy and paste F column and 1/T2 column in excel spreadsheet.

9. Select both columns of data. Click on “insert” then choose scatter plot

1.  Graph displays in excel sheet. Click the graph, you will see three symbols on the right. Click on + as shown. Then go to trend line, choose “linear”.
2. Again, click on trendline and choose “More options”, click on “display equation”
3. Write down the x- and y- variable names and title of graph. Copy and paste graph in the space below.

Q#1.  Re-write centripetal force equation in terms of time period (T) and radius (R). [ See introduction: Plug v on the centripetal force]

Q#2. By equating the value of slope, you obtained from graph, and the slope of Force (F) vs (1/T2) expression in Q#1. Calculate the value of radius.  Show your work.