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Monday, August 15, 2016

sypt2016 workshop materials

I was honored to help +Leong Tze Kwang to make some Singapore Young Physicists’ Tournament (SYPT) workshop materials using Tracker.

Theory

the equation for the drag force on the square paper is may be assumed to be is the form of $ F = \frac{1}{2} \rho v^{2} C_{D} A $
where F is the aerodynamic drag force
$ \rho $ is the is the density of the fluid
$ v $ is the speed of the object relative to the fluid
$ A $ is the cross sectional area
$ C_{D} $  is the drag coefficient – a dimensionless number.


Area, A/cm2
289
249
190
169
130
88
Terminal Velocity, v/ cm s-1
1.66
1.70
2.02
2.12
2.31
2.66


cross sectional area A = 88 cm^2, Terminal velocity vT = 2.66 cm/s


cross sectional area A = 130 cm^2, Terminal velocity vT = 2.31 cm/s


cross sectional area A = 169 cm^2, Terminal velocity vT = 2.12 cm/s


cross sectional area A = 190 cm^2, Terminal velocity vT = 2.02 cm/s


cross sectional area A = 249 cm^2, Terminal velocity vT = 1.70 cm/s


cross sectional area A = 289 cm^2, Terminal velocity vT = 1.66 cm/s




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