- #1
Kudo Shinichi
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HELP!A dynamics problem
In a carnival ride called the Rotor, people stand against the inside wall of cylindrical chamber. when the chamber rotates with a sufficiently high angular velocity, the floor of the chamber is lowered and the people "stick" to the wall. the coefficient of static friction between a person and the wall is mu(s)=0.5 and the radius of the chamber is r=3.5m.
what is the minimum angular velocity, omega, of the chamber (in revolutions per minute) that will keep the people from sliding down the wall?
a=(omega)^2*radius
two unknown variables
therefore, we need to find the acceleration
Frictional force=mu(s)*m*g
mu(s)=0.5 g=9.8
frictional force=0.5*m*9.8
and
frictional force=ma
mu(s)*m*g=ma
a=mu(s)*g
sub the a I got into a=(omega)^2*radius to find omega
however, while i was trying to find the frictional force, there are two unknown variables, which are frictional force and the mass. I think that i can solve this question as soon as I know the mass for the person...can anyone teach me how to find the mass of the person?
Thank you for helping me.
Homework Statement
In a carnival ride called the Rotor, people stand against the inside wall of cylindrical chamber. when the chamber rotates with a sufficiently high angular velocity, the floor of the chamber is lowered and the people "stick" to the wall. the coefficient of static friction between a person and the wall is mu(s)=0.5 and the radius of the chamber is r=3.5m.
what is the minimum angular velocity, omega, of the chamber (in revolutions per minute) that will keep the people from sliding down the wall?
The Attempt at a Solution
a=(omega)^2*radius
two unknown variables
therefore, we need to find the acceleration
Frictional force=mu(s)*m*g
mu(s)=0.5 g=9.8
frictional force=0.5*m*9.8
and
frictional force=ma
mu(s)*m*g=ma
a=mu(s)*g
sub the a I got into a=(omega)^2*radius to find omega
however, while i was trying to find the frictional force, there are two unknown variables, which are frictional force and the mass. I think that i can solve this question as soon as I know the mass for the person...can anyone teach me how to find the mass of the person?
Thank you for helping me.
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