Question #128084

a cyclists goes round a circular track once in 2160 seconds. If she maintains a constant speed, calculate the value of the centripetal acceleration she cycles at if the track has a radius of 15600m


1
Expert's answer
2020-08-02T15:04:37-0400

a=v2/ra=v^2/r


v=l/t=2πr/tv=l/t=2\pi r/t


a=(2πr)2/(t2r)=4π2r/t2=43.14215600/21602=0.132(m/s2)a=(2\pi r)^2/(t^2\cdot r)=4\pi^2r/t^2=4\cdot3.14^2\cdot15600/2160^2=0.132 (m/s^2)


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