Centripetal Force (RPM Question)

So, to convert, we multiply by 60. Therefore, the equation for r.p.m is: 4∏2rmf2 x 60.In summary, the maximum r.p.m that the coin can handle before sliding off is given by the equation 4∏2rmf2 x 60, where r is the distance from the axis, m is the coefficient of friction, and f is the frequency of rotation.
  • #1
McKeavey
30
0

Homework Statement


A coin is placed 18cm from the axis of a rotating turntable of variable speeds. If the coefficient of friction is 0.68, what is the maximum r.p.m that the coin can handle before sliding off?


Homework Equations


This is basically what I need..
I know there's mv^2/r
But which equation do I need for RPM questions?


The Attempt at a Solution


None at the moment, not sure of the equation I'm supposed to use :S
 
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  • #2
McKeavey said:

Homework Statement


A coin is placed 18cm from the axis of a rotating turntable of variable speeds. If the coefficient of friction is 0.68, what is the maximum r.p.m that the coin can handle before sliding off?


Homework Equations


This is basically what I need..
I know there's mv^2/r
But which equation do I need for RPM questions?


The Attempt at a Solution


None at the moment, not sure of the equation I'm supposed to use :S

As well as mv2/r there is 4∏2rm/T2 where T = period

Since frequency is 1/T that would mean 4∏2rmf2

frequency means revolutions per second. r.p.m is revolutions per minute.
 

FAQ: Centripetal Force (RPM Question)

What is centripetal force?

Centripetal force is the force that keeps an object moving in a circular path. It is directed towards the center of the circle and is necessary to maintain the object's velocity and prevent it from flying off in a straight line.

How is centripetal force related to RPM?

Centripetal force and RPM (revolutions per minute) are related through the equation Fc = (2πrN)^2/m, where Fc is the centripetal force, r is the radius of the circle, N is the number of revolutions per minute, and m is the mass of the object. This equation shows that as the RPM increases, the centripetal force also increases.

What factors affect the amount of centripetal force?

The amount of centripetal force depends on the mass of the object, the radius of the circular path, and the speed at which the object is moving. The greater the mass, the larger the force needed to keep it in a circular path. Similarly, a smaller radius or a higher speed will require a larger centripetal force.

Can centripetal force be greater than the force of gravity?

Yes, centripetal force can be greater than the force of gravity. In fact, this is necessary for objects to stay in orbit around a larger object, such as a planet or moon. The centripetal force from the object's velocity must be greater than the force of gravity pulling it towards the larger object's center.

How is centripetal force used in everyday life?

Centripetal force is used in many everyday activities, such as driving around a curve, swinging on a swing, or riding a rollercoaster. It is also important in sports, such as when throwing a curveball in baseball or hitting a tennis ball with topspin. In engineering, centripetal force is used in designing structures such as bridges and rollercoasters to ensure they can withstand the forces acting on them.

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