Centripetal Force

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Experiment: Uniform circular motion and centripetal force
Results

Mass(kg)| Radius(m)| Velocity(m/s)| CentripetalForce[Calculation](kg. m/s2)| CentripetalForce[Measure](kg. m/s2)| StandardDerivation(%)| 0.02406| 0.0900| 2.023| 1.094| 0.7349| 32.8|
0.02406| 0.0900| 2.584| 1.785| 1.446| 19.0|
0.02406| 0.0900| 3.153| 2.658| 2.351| 11.4|
0.02406| 0.0900| 3.702| 3.662| 3.374| 7.86|
0.02406| 0.0900| 4.238| 4.801| 4.525| 5.75|

Force versus Mass

Mass(kg)| Radius(m)| Velocity(m/s)| CentripetalForce[Calculation](kg. m/s2)| CentripetalForce[Measure](kg. m/s2)| StandardDerivation(%)| 0.0109| 0.0900| 3.86| 1.805| 1.519| 15.8|
0.0225| 0.0900| 3.86| 3.725| 3.825| 2.68|
0.0437| 0.0900| 3.86| 7.235| 7.531| 4.09|
0.0672| 0.0900| 3.86| 11.13| 11.615| 4.36|

Force versus 1/Radius

Mass(kg)| Radius(m)| Velocity(m/s)| CentripetalForce[Calculation](kg. m/s2)| CentripetalForce[Measure](kg. m/s2)| StandardDerivation(%)| 0.0437| 0.0900| 3.86| 7.235| 6.879| 4.92|
0.0437| 0.0800| 3.86| 8.130| 8.253| 1.51|
0.0437| 0.0700| 3.86| 9.301| 9.145| 1.67|
0.0437| 0.0600| 3.86| 10.852| 10.118| 6.76|

Interpreting data

Based on the graph plotted, we can know that :
* F (centripetal force) is directly proportional to v2 (velocity2) * F (centripetal force) is directly proportional to m (Mass) * F (centripetal force) is inversely proportional to R (Radius)

And so, it is proved that the centripetal force of the uniform circular motion ;
F=mv2R

Discussion

* As for the first experiment ( Force versus velocity²), due to some technical problem all the data that had been obtained from the experiment couldn’t be saved thus all the data are taken with approvement from our friend , Gary Tan ( General Physics and Experiment (I) [PHY 1011-09-00] ).

* According to the Force versus velocity²), graph , as the...
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