Question

A curve of radius 900m is bend so that, no friction is required at A speed of 30m/s.calculate the angle of banking

Answer 1

$\Large\underline{\underline{\sf Given:}}$

• Radius (R) = 900m

• Speed (v) = 30 m/s

$\Large\underline{\underline{\sf To\:Find:}}$

• Angle of banking $\sf{\theta}$

$\Large\underline{\underline{\sf Formula\:Used:}}$

$\large{\boxed{\boxed{\sf \pink{tan\theta=\dfrac{v^2}{Rg}}}}}$

$\Large\underline{\underline{\sf Solution:}}$

$\implies{\sf tan \theta=\dfrac{30^2}{900×10} }$

$\implies{\sf tan \theta =\dfrac{1}{2}}$

$\implies{\sf \red{\theta =tan^{-1}\left(\dfrac{1}{2}\right)}}$

$\Large\underline{\underline{\sf Solution:}}$

⛬ Angle of banking ${\bf \theta =tan^{-1}\left(\dfrac{1}{2}\right)}$