Answer:
0.76
Explanation:
we are given:
radius (r) =5.7 m
speed (s) = 1 revolution in 5.5 seconds
acceleration due to gravity (g) = 9.8 m/s^{2}
coefficient of friction (Uk) = ?
we can get the minimum coefficient of friction from the equation below
centrifugal force = frictional force
m x r x ω^{2} = Uk x m x g
r x ω^{2} = Uk x g
Uk = [tex]\frac{ r x ω^{2} }{g}[/tex]
where ω (angular velocity) = [tex]\frac{2π}{time}[/tex]
= [tex]\frac{2π }{5.5}[/tex] = 1.14
Uk = [tex]\frac{ 5.7 x 1.14^{2} }{9.8}[/tex] = 0.76
