Question

Derive an expression for minimum speed to perform stunts in well of death.

Answer 1

The Well of Death is a vertical cylindrical structure where a motorcyclist rides along the inner wall in circular motion. The key challenge is to maintain motion without falling due to gravity. The rider must travel at a minimum speed to generate sufficient centripetal force while friction prevents them from sliding downward.

For vertical equilibrium:

f = mg

Since friction is given by:

f = μN

where μ is the coefficient of friction, we get:

μN = mg

μ = `(mv^2)/r` = mg

υ_min = `sqrt((gr)/μ)`