Question

A cyclist goes around a circular track once every 2 minutes. If the radius of the circular track is 105 metre, calculate his speed. (Given `pi= (22)/(7)`)

Answer 1

We know that for a body moving in a circular path :
`" "v= (2pir)/(t)`
Here, `" "`speed, `v` = ? (To be calculated)
`" "`pi,`pi=(22)/(7)`
Radius of circular track, `r` = 105 m
And, Time taken for 1 round, `t` = 2 minutes
`" "=2xx60` seconds
`" "= 120` s
Now, putting these values of `pi, r` and `t` in the above formula, we get :
`" "v= (2xx22xx105)/(7xx120)`
`" "= 5.5 m//s`
Thus, the speed of cyclist on the circular track is 5.5 metres per second.