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We did a experiment, and the aim was to find out that relationship between mass and radius with period of time in the circular motion..Although I know the formula for centripetal force, but I am not sure about what the expression should be
The lab data :
Table 1: 1st experiment : relationship of mass and period
Mass Average time for 20 revolutions (+ 0.5 s) Period (T/20) For 1 revolution
1 25 15.355 0.76183
2 50 12.315 0.61575
3 100 7.53 0.365
4 150 6.66 0.333
5 200 5.635 0.28175
Radius: 35 cm (+ 5cm)
For this one I kind of get the expression, which is t= 1/√m times √4radius pie square (which the value is about 4) so 1/ root of mass and times 4.
Table 2: 2nd experiment: relationship of radius and period
Radius Average time for 20 revolutions Period (T/20)
For 1 revolution
1 10 6.595 0.32825
2 20 7.60 0.38
3 30 8.175 0.40875
4 40 9.35 0.47525
5 50 10.615 0.531
Mass: 25g (+ 1 gram)
And this one, I have not idea about the relationship of radius and period, can anyone help me out with this ? Thanks a lot!
p.s. the lab has systematic errors, since the angle can't be horizontal, cause we swing the object by hand.
The lab data :
Table 1: 1st experiment : relationship of mass and period
Mass Average time for 20 revolutions (+ 0.5 s) Period (T/20) For 1 revolution
1 25 15.355 0.76183
2 50 12.315 0.61575
3 100 7.53 0.365
4 150 6.66 0.333
5 200 5.635 0.28175
Radius: 35 cm (+ 5cm)
For this one I kind of get the expression, which is t= 1/√m times √4radius pie square (which the value is about 4) so 1/ root of mass and times 4.
Table 2: 2nd experiment: relationship of radius and period
Radius Average time for 20 revolutions Period (T/20)
For 1 revolution
1 10 6.595 0.32825
2 20 7.60 0.38
3 30 8.175 0.40875
4 40 9.35 0.47525
5 50 10.615 0.531
Mass: 25g (+ 1 gram)
And this one, I have not idea about the relationship of radius and period, can anyone help me out with this ? Thanks a lot!
p.s. the lab has systematic errors, since the angle can't be horizontal, cause we swing the object by hand.