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