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Re: air resistance



Several people asked for the row data backing the claim that for v<4 m/s
the dependance of R on v is roughly linear. Here are the data from another
try. This time maximum speed is less than 3 m/s; we do not control the
initial balloon locations very carefully. Data collection rate was 50 per
second (not 20) aveaging was 15 (not 7). High averaging reduces fluctuations
of accelerations (due to errors) but prevents us from measuring small v
(first 15 data points were ignored). Numbers were copied from the table
generated by Mac Motion, do not criticize us for digits which are clearly
not significant.

Low v data will be collected with a smaller mass, perhaps later today.

mass=97 grams ---> R=0.097*(9.8-a).
This run indicates that R=0.1*v, (not 0.08*v).

t(s) d(m) v(m/s) a(m/s^2) R(N)

0.56 0.520 1.324 8.379 0.137
0.58 0.549 1.492 8.171 0.158
0.60 0.581 1.655 8.058 0.169
0.62 0.617 1.815 8.009 0.174
0.64 0.655 1.974 7.859 0.188
0.66 0.695 2.122 7.392 0.233
0.68 0.739 2.274 7.356 0.237
0.70 0.786 2.420 7.231 0.249
0.72 0.837 2.570 7.322 0.240
0.74 0.891 2.716 7.272 0.245
0.76 0.948 2.859 7.202 0.252