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Tangental acceleration from given centripetal acceleration and a range of radii 
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#1
Sep2210, 01:53 PM

P: 2

Hi, how can I determine the tangental acceleration of a circle needed to produce a given centripetal acceleration from a range of radii? For example, I would like to produce 9.81 m/s/s centripetal acceleration with a range of radii from 5km to 100km? All I really need is to figure out the equation and I can write a program to graphically display the results.
Here's what I've found so far: Thanks for any help! If you could just nudge me in the right direction I'd appreciate it very much. 


#2
Sep2210, 02:43 PM

P: 263

You dont need a tangential acceleration to produce a given centripetal acceleration, all you need is a given tangential speed. This can be calculated from the first formula you gave.
Vt^2=r*a_c where r are the different radii and a_c is the centripetal acceleration. 


#3
Sep2210, 02:52 PM

P: 2

... d'oh
That seems so obvious now. Anyways, that means that an asteroid with a 137km circumference ring drilled into it (the longest manmade tunnel so far) would need to be accelerated to a spin 59.4km/h (instantaneous velocity tangental to the ring) to produce 9.81 m/s^{2} acceleration... artificial gravity, anyone? 


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