Normal force in circular motion, is my work correct

In summary, normal force in circular motion is the force that acts perpendicular to the surface of an object in circular motion and prevents it from flying off in a straight line. It is directly related to centripetal force and can be calculated using the formula F_N = mv^2/r. The normal force can be greater than the weight of an object in circular motion, especially at high speeds. To ensure the correct calculation of normal force, use the correct formula and make sure the force is perpendicular to the surface and points towards the center of the circular path.
  • #1
fishingspree2
139
0

Homework Statement


If:
weight = m
speed = v
angle = theta
radius = r

Write an algebric expression that is equal to the Normal force


Homework Equations


F = ma
acentr. = v2/r

The Attempt at a Solution


N -mgcos(theta) = m v2/r
N = m v2/r +mgcos(theta)

correct?
 
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  • #2
Please state the exact problem you are asked to solve.
 
  • #3


Your work looks correct. The normal force in circular motion is equal to the sum of the centripetal force (mv^2/r) and the component of the weight that is perpendicular to the surface (mgcos(theta)). Your algebraic expression reflects this relationship.
 

1. What is normal force in circular motion?

The normal force in circular motion is the force that acts perpendicular to the surface of an object in circular motion. It is responsible for keeping the object in its circular path and preventing it from flying off in a straight line.

2. How is normal force related to centripetal force?

Normal force and centripetal force are directly related in circular motion. The normal force is equal in magnitude and opposite in direction to the centripetal force, which is the force that pulls an object towards the center of its circular path.

3. How do I calculate the normal force in circular motion?

The normal force can be calculated using the formula FN = mv2/r, where m is the mass of the object, v is its velocity, and r is the radius of its circular path.

4. Can normal force be greater than weight in circular motion?

Yes, it is possible for the normal force to be greater than the weight of an object in circular motion. This occurs when the object is moving at a high speed and experiencing a large centripetal force, causing the normal force to increase in order to balance it out.

5. How do I know if my calculation of normal force in circular motion is correct?

To ensure your calculation of normal force is correct, make sure to use the correct formula and input the correct variables. Additionally, the normal force should always be perpendicular to the surface of the object and point towards the center of its circular path.

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