Max Speed for 0.20kg Mass on Rotating Turntable

The maximum speed that the cylinder can move without slipping off the turntable is approximately 1.048 m/s. In summary, the conversation discusses a problem involving a rotating turntable and a metal cylinder. The maximum speed that the cylinder can move without slipping off the turntable is determined by equating the centrifugal force to the force due to static friction. The resulting calculation yields a maximum speed of approximately 1.048 m/s.
  • #1
tigerseye
16
0
[FONT=Times New Roman]I need help with this one problem:
A small metal cylinder rests on near the edge of a circular turntable that is rotating at a constant speed. The small metal cylinder has a mass of 0.20 kg, the coefficient of static friction between the cylinder and the turntable is 0.080, and the cylinder is located 0.15 m from the center of the turntable.
What is the maximum speed that the cylinder can move along its circular path without slipping off the turntable?[/FONT]
 
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  • #2
Centrifugal force = Force due to static friction
Centrifugal force = mass*omega^2*radius
Static Force = normal force * mju
normal force = weight
mju = 0.080
equate for omega
:)
 
  • #3
Static friction must provide the centripetal acceleration of the cylinder.
 

What is the relationship between mass and maximum speed on a rotating turntable?

The maximum speed on a rotating turntable is directly proportional to the mass of the object placed on it. This means that as the mass increases, the maximum speed will also increase.

What factors affect the maximum speed of a 0.20kg mass on a rotating turntable?

The maximum speed of a 0.20kg mass on a rotating turntable is affected by several factors including the mass of the object, the radius of the turntable, and the force applied to the object.

How does the radius of the turntable affect the maximum speed of a 0.20kg mass?

The maximum speed of a 0.20kg mass on a rotating turntable is inversely proportional to the radius of the turntable. This means that as the radius increases, the maximum speed will decrease.

What is the formula for calculating the maximum speed of a 0.20kg mass on a rotating turntable?

The formula for calculating the maximum speed of a 0.20kg mass on a rotating turntable is: Maximum Speed = √(Force * Radius / Mass)

Can the maximum speed of a 0.20kg mass on a rotating turntable be exceeded?

Yes, the maximum speed can be exceeded if a greater force is applied to the object or if the radius of the turntable is increased. However, this can lead to the object flying off the turntable and should be done with caution.

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