At what angle should a cyclist lean over from the vertical while negot

1.	At what angle should a cyclist lean over from the vertical while negotiating a curve of radius 58m with a speed of 15 km/hour?
Answer» The angle of banking is given by, tanθ = \(\frac {v^2}{rg}\) Here, v = \(\frac {15000}{60 \times 60} \) = 4.17 ms^-1 ∴ tanθ = \(\frac {(4.17)^2}{58 \times 9.8}\) = 0.03059 θ = tan^-1 (0.03059) = 1°45’.

At what angle should a cyclist lean over from the vertical while negotiating a curve of radius 58m with a speed of 15 km/hour?

Answer»

The angle of banking is given by,

tanθ = \(\frac {v^2}{rg}\)

Here, v = \(\frac {15000}{60 \times 60} \) = 4.17 ms^-1

∴ tanθ = \(\frac {(4.17)^2}{58 \times 9.8}\)

= 0.03059

θ = tan^-1 (0.03059)

= 1°45’.