Question

a person wants to drive on the vertical surface of a large cylindrical wooden 'well' commonly known as 'death well' in a circus. the radius of the well is 2 m, and the coefficient of friction between the tires of the motorcycle and the wall of the well is 0.2. calculate the minimum speed the motorcyclist must have in order to prevent slipping should be.

Answer 1

$$\begin{gathered} \mathrm{Centripetal}\mathrm{force}=\mathrm{Frictional}\mathrm{force} \\ \frac{{\mathrm{mv}}^2}{\mathrm{r}}=\mathrm{\mu mg} \\ \frac{{\mathrm{v}}^2}{\mathrm{r}}=\mathrm{\mu g} \\ \mathrm{v}=\sqrt{\mathrm{\mu gr}} \\ =\sqrt{0.2\times 9.8\times 2} \\ =1.98\mathrm{m}/\mathrm{s} \end{gathered}$$