Question

a cyclist going at 12kmph rounds a curve of 1m radius at what angle should be towards the round​

Answer 1

Given :

The speed of the cyclist = v = 12 kmph

The radius of curve = r = 1 m

To Find :

The angle should cyclist make with ground

Solution :

The speed of the cyclist = v = 12 kmph

                                             = $\dfrac{12 \times 1000}{3600}$

                                             = 3.33 m/s

Again

Let The angle that cyclist made with ground = Ф

∵ TanФ  =  $\dfrac{(velocity)^{2} }{Radius \times g}$                                 where g = 10 m/s²

              =  $\dfrac{(3.33 m/s)^{2} }{1 m \times 10 m/s^{2} }$

               = 1.108

i.e         TanФ  =  1.108

∴   Ф =  $Tan^{-1}$ ( 1.108 )

        = 47.9 = 48°

Hence, The angle that cyclist made with ground is 48°         Answer