Question

a cyclist can negotiate a circular trade of length 220 m in time 22 sec find the angle his bicycle make with vertical

Answer 1

let,
r - radius of track
v - speed of the cyclist
a - angle with vertical
g - Acceleration due to gravity

then,

tan(a) = v^2 / rg ....... (1)


r = Circumference / 2π = 220 / (2π) = 220*7 / (2*22) = 35 m

v = Circumference / time = 220 / 22 = 10 m/s

tan(a) = 10^2 / (10 * 35) = 2/7

a = atan(2/7) .... ans ..