- #1

Can anyone please tell me how the formula for centripetal acceleration (a=v2/r) is derived?

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- Thread starter Lindsey
- Start date

- #1

Can anyone please tell me how the formula for centripetal acceleration (a=v2/r) is derived?

- #2

Ambitwistor

- 841

- 1

Google will give you many derivations, some with pictures; for instance:

http://www.usafa.af.mil/dfp/cockpit-phys/pg1th31.htm

http://www-istp.gsfc.nasa.gov/stargaze/Scircul.htm

http://home.cc.umanitoba.ca/~loly/rotator.pdf

http://www.pa.uky.edu/~moshe/phy231/lecture_notes/circular.html

http://www.usafa.af.mil/dfp/cockpit-phys/pg1th31.htm

http://www-istp.gsfc.nasa.gov/stargaze/Scircul.htm

http://home.cc.umanitoba.ca/~loly/rotator.pdf

http://www.pa.uky.edu/~moshe/phy231/lecture_notes/circular.html

Last edited by a moderator:

- #3

krab

Science Advisor

- 893

- 3

a=Δv/Δt=vΔθ/Δt

The distance travelled while the force is being applied is

vΔt=rΔθ

Solve the second displayed equation for Δt and plug it into the first equation. There ya go.

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