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Summary:
 How to determine the coil speed of a conical telescopic spring from its fully compressed height i.e. its spring wire dia to its free length.
Main Question or Discussion Point
I require a small conical spring to open from its compressed pancake height of its wire diameter to a free length of 11mm > 0.2 seconds (20 milliseconds)
The large end outer diameter = 7.80mm.
The small end inner diameter must be greater than or equal to 2.75mm.
The conical's spring's will be stored at a height = 5.5mm.
The conical spring will be subject to a set back force of at least 106N for 0.0005 seconds, which will cause the concial spring to pancake.
After pancaking the conical spring must achieve a working free length of 11.20mm.
The conical spring will need to move a mass of 5gms to get to its working free length.
Wire diameter and wire material are to be determined.
I require the conical spring to open from its solid height (wire diameter) to its free length of 11.20 mm in 0.20 seconds or longer.
Can anybody help with the maths please as this is way beyond my knowledge base?
I have attached a draft drawing of a potential conical spring design, which has spring material and wire diameter.
Please note that a similar request was made by a member in 2014  see post  https://www.physicsforums.com/threads/howfastcoilspringsaregreatestmysterytoday.752813/
The large end outer diameter = 7.80mm.
The small end inner diameter must be greater than or equal to 2.75mm.
The conical's spring's will be stored at a height = 5.5mm.
The conical spring will be subject to a set back force of at least 106N for 0.0005 seconds, which will cause the concial spring to pancake.
After pancaking the conical spring must achieve a working free length of 11.20mm.
The conical spring will need to move a mass of 5gms to get to its working free length.
Wire diameter and wire material are to be determined.
I require the conical spring to open from its solid height (wire diameter) to its free length of 11.20 mm in 0.20 seconds or longer.
Can anybody help with the maths please as this is way beyond my knowledge base?
I have attached a draft drawing of a potential conical spring design, which has spring material and wire diameter.
Please note that a similar request was made by a member in 2014  see post  https://www.physicsforums.com/threads/howfastcoilspringsaregreatestmysterytoday.752813/
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