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Calculate the angle for which a cyclist ...

Calculate the angle for which a cyclist bends when he turns a circular path of length 34.3 m in `sqrt(22)` s.

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Given Data: `l= 34.3 m, t= sqrt(22), g = 9.8 ms^(-2), theta = ?`
If r is radius of circular path, then length of path = `2pir = 34.3` m
`r =(34.3)/(2pi)` m. and time taken t = `sqrt(22)` s
As tan `theta = (v^(2))/(rg)`
`:. tan theta = ((34.3)/(sqrt(22)))^(2) xx (2pi)/(34.3 xx 9.8)`
tan `theta = (34.3xx34.3)/(22) xx (2xx22)/(7xx343xx9.8) = (34.3xx2)/(68.6) = 1` [`:. theta = 45^(@)`]
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