Find the minimum and maximum kinetic energy of a gas after 6
Find the minimum and maximum kinetic energy of a gas after 60 seconds. A distribution of velocities after 60 seconds are given for the particles of gas. The intial velocity of all the particles is 500 m/s, and this is the number of particles within each velocity range after 60 seconds:
| Velocity Range | # of particles |
| 0-200 m/s | 1 |
| 200-400 m/s | 7 |
| 400-600 m/s | 3 |
| 600-800 m/s | 2 |
| 800-1000 m/s | 2 |
| 1000-1200 m/s | 0 |
| 1200-1400 m/s | 0 |
| over 1400 m/s | 0 |
Solution
A thin-walled closed tube has the cross-section shown. The midline is a circle of radius R. The wall thickness varies linearly with theta from t = t0 at theta = 0 to t = 3t0 at theta = pi. Find the torsional stiffness, T/theta using Bredt\'s formula.
