Calculating Centrifugal Force: 10lbs Steel Wheel, 6in CG, 7200rpm

In summary, centrifugal force is calculated using the formula Fc = (m x v^2) / r, where Fc is the force, m is the mass, v is the velocity, and r is the radius. The units of centrifugal force are typically measured in Newtons (N) or pound-force (lbf). The weight of an object does not directly affect the centrifugal force, but the mass of the object does play a role in the calculation. To determine the rotation speed in RPM, divide the angular velocity (in radians per second) by 2π and then multiply by 60. The center of gravity is important in calculating centrifugal force as it helps determine the radius (r) in the formula
  • #1
drewman13
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Homework Statement



10 lbs. steel wheel with its center of gravity at 6 inches from the axle rotating within a circular frame at 7200 rpm


Homework Equations



10lbs. x 6 inches x 72002rpms x 0.000028416(constant) = 88,385 lbs.

The Attempt at a Solution



10 x 6 x 72002 x 0.000028416 = 88,385 lbs.

The question is "Are my calculations correct and does that mean that the force against the perimeter frame from the steel wheel is actually 88,385 lbs.? If not what is the actual force?
 
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  • #2
Yes, your calculations are correct. The force against the perimeter frame from the steel wheel is 88,385 lbs.
 

1. How do you calculate centrifugal force?

Centrifugal force can be calculated using the formula Fc = (m x v^2) / r, where Fc is the force, m is the mass, v is the velocity, and r is the radius.

2. What are the units of centrifugal force?

The units of centrifugal force are typically measured in Newtons (N) or pound-force (lbf).

3. How does the weight of the object affect the centrifugal force?

The weight of an object does not directly affect the centrifugal force. However, the mass of the object does play a role in the calculation of centrifugal force.

4. How do you determine the rotation speed in RPM?

To determine the rotation speed in RPM (revolutions per minute), divide the angular velocity (in radians per second) by 2π and then multiply by 60.

5. What is the importance of knowing the center of gravity in calculating centrifugal force?

The center of gravity is important in calculating centrifugal force because it helps to determine the radius (r) in the formula. The distance between the center of gravity and the axis of rotation is a critical factor in determining the force exerted by centrifugal force.

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