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1.Thermal positioner In an experiment, a small radioactive source must be moved

ID: 2137784 • Letter: 1

Question

1.Thermal positioner In an experiment, a small radioactive source must be moved at extremely slow speeds. A positioning device based on thermal expansion was devised where the radioactive source is attached to one end of an aluminum rod and a heating coil is wrapped around a section of the rod as shown in figure 3. The rod is fixed on the other end. If the effectively heated section is 5.0cm, at what constant rate do you need to change the temperature of the rod so that the source moves at a constant speed of 50nm/s?

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2.

Many modern watches operate based on a small quartz tuning fork which transduces a mechanical oscillation into an electrical signal. The frequency of the tuning fork is inversely proportional to   

Thermal positioner In an experiment, a small radioactive source must be moved at extremely slow speeds. A positioning device based on thermal expansion was devised where the radioactive source is attached to one end of an aluminum rod and a heating coil is wrapped around a section of the rod as shown in figure 3. The rod is fixed on the other end. If the effectively heated section is 5.0cm, at what constant rate do you need to change the temperature of the rod so that the source moves at a constant speed of 50nm/s? Many modern watches operate based on a small quartz tuning fork which transduces a mechanical oscillation into an electrical signal. The frequency of the tuning fork is inversely proportional to (sqrt{l}) with L being the length of the fork. If the watch keeps perfect time at 20%u25E6C, what is the fractional gain or loss in time for a quartz tuning fork that is 6mm long at (a) 0%u25E6C, and (b) 30%u25E6C? Hint: try working this out algebraically. The changes are small and prone to rounding issues.

Explanation / Answer

You could use any material for a positioning device based on thermal expansion, (It is interesting, as it oversomes, over problems for positioning systems) but why does it have to be radio-active, which due to it's volitile nature, could have inherent measuring accuracy problems with moving at a constant speed, and even possibly over time (extended use) explode?, for reasons I won't explain here, it's dangerous and inaccurate long term, you could use another material?, (metal?) that has a steady thermal expansion rate? and a more long term viabillity in terms of safety and accuracy.