Lab No 1​SPH4U​Tuesday, March 08, 2011
Mr. Rogers​Chris Powis​
Physic Lab

Research Question
​Prove that the equation  is true.
Experimental Method
Ball
String
Tape
Weight
Meter stick
Stop watch
Plastic tube (from pen)







Procedure
​In order to prove the equation and answer the research question my group decided to create an apparatus like the one above and record the times when the ball was moving at constant speed. We created the apparatus by taking a piece of string, threading it through a plastic tube and attaching one side of it to a ball and the other to a weight. We kept the weight of the ball and the weight of the mass constant while changing the radius of the rope to various lengths. In order to measure the radius easier we put a piece of tape at the bottom of the plastic tube so that it would be easier to see when it is at constant velocity. We had one person spinning the ball, another recording the time and two people counting the number of rotations. We kept the number of rotations at a constant predetermine number and recorded the data. Finally, we reviewed our data to make sure that it corresponded with the others in the group and proceeded to prove the formula.









Data Collection
​Raw Data:
Mass of Ball (m): 0.0099 kg​Radius length (𝓁): 0.283 m
Trial
Length (m)
Rotations
Time (s)
1
0.065
20
5.72



5.83



6.00
2
0.140
20
7.13



7.16



7.60
3
0.195
20
8.25



8.47



8.00
4
0.283
20
9.03



9.51



9.41
5
0.395
20
10.03



10.58



9.82
6
0.490
20
11.47



11.00



11.44
7
0.550
20
13.00



12.97



12.72
8
0.670
20
14.53



14.85



13.65
















​Calculated Data:
Trial
Length (m)
Rotations
Time (s)
Period ‘T’
Average Period
1
0.065
20
5.72
0.2860
0.2925



5.83
0.2915




6.00
0.3000

2
0.140
20
7.13
0.3565
0.3648



7.16
0.3580




7.60
0.3800

3
0.195
20
8.25
0.4125
0.4120



8.47
0.4235




8.00
0.4000

4
0.283
20
9.03
0.4515
0.4658



9.51
0.4755




9.41
0.4705

5
0.395
20
10.03
0.5015
0.5072



10.58
0.5290




9.82
0.4910

6
0.490
20
11.47
0.5735
0.5652



11.00
0.5500




11.44
0.5720

7
0.550
20
13.00
0.6500
0.6448



12.97
0.6485




12.72
0.6360

8
0.670
20
14.53
0.7265
0.7172



14.85
0.7425




13.65
0.6825


Sample Equation

















Graphical Analysis