Answer:
The angle that the piece of cloth will lose contact with the wall would be [tex]37.31^{o}[/tex]
Explanation:
for a body moving in a circular path The net force is equal to the centripetal force and can be calculated thus;
mgsin θ = m[tex]w^{2}[/tex]r
isolating sine θ
sin θ = [tex]w^{2}[/tex]r/ g
where w is the angular velocity = 41.5 rev/min = 41.5 rev/min x 2π/60 secs = 4.34587 rad/s
r is the radius = = d/2 = 0.692/2 = 0.3145 m
g is the acceleration due to gravity = 9.8 m/[tex]s^{2}[/tex]
sin θ = ([tex]4.34587^{2}[/tex] x 0.3145)/ 9.8
sin θ = 0.6061
θ = [tex]sin^{-1}[/tex]0.6061
θ = [tex]37.31^{o}[/tex]
Therefore the angle that the piece of cloth will lose contact with the wall would be [tex]37.31^{o}[/tex]
