Perpendicular force from cross product

In summary, the cross product is a mathematical operation used to find the perpendicular vector of two other vectors. This applies to any two vectors in a plane. In regards to circular motion, if the motion is horizontal, there will be a perpendicular force to the object. This force is known as the centripetal force and is perpendicular to the velocity vector if the motion is uniform. However, the original question about circular motion and cross product seems to be confused and not clearly linked. It may be asking about the perpendicular vector to both velocity and force in circular motion, but it is not clear.
  • #1
Miraj Kayastha
80
0
Cross product is used to find the perpendicular vector of two vectors. If there is any two vectors in a plane then there is always a perpendicular vector to both of them.

So in circular motion if the motion is horizontal then is there a perpendicular force to the object in circular motion?
 
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  • #2
Perpendicular to what?
The centripetal force is perpendicular to the velocity vector, if the motion is uniform.
 
  • #3
That's a confused question. You start by talking about cross product and then end up asking a question about circular motion without ever linking one thing to the other.
 
  • #4
dauto said:
That's a confused question. You start by talking about cross product and then end up asking a question about circular motion without ever linking one thing to the other.
Maybe he is asking if there are two vectors(Velocity and Force) in circular motion,what is the perpendicular vector to both of them?
 
  • #5
adjacent said:
Maybe he is asking if there are two vectors(Velocity and Force) in circular motion,what is the perpendicular vector to both of them?

May be, may be not. How is one supposed to tell when the question does not give a clue? It always amazes me how often people can't take the time and put the effort to write a post that makes sense.
 
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1. What is the definition of perpendicular force?

Perpendicular force, also known as normal force, is a type of force that acts perpendicular to the surface of an object or surface. It is a reaction force that arises when an object is in contact with another object or surface.

2. What is the formula for calculating perpendicular force from cross product?

The formula for calculating perpendicular force from cross product is F = qvBsinθ, where F is the force, q is the charge, v is the velocity of the object, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.

3. What is the difference between perpendicular force and normal force?

Perpendicular force and normal force are often used interchangeably, but there is a subtle difference between the two. While perpendicular force refers to any force acting perpendicular to a surface, normal force specifically refers to the force exerted by a surface in response to an object pressing against it.

4. How does the direction of the magnetic field affect the magnitude of perpendicular force?

The magnitude of perpendicular force is directly proportional to the strength of the magnetic field. This means that as the strength of the magnetic field increases, so does the magnitude of the perpendicular force. The direction of the magnetic field also plays a role, as the force will be greatest when the magnetic field is perpendicular to the velocity of the object.

5. What are some real-life applications of perpendicular force from cross product?

Perpendicular force from cross product has many practical applications, such as in electric motors, generators, and particle accelerators. It is also used in magnetic levitation trains, where the magnetic force is used to lift and propel the train above the track. Additionally, it is utilized in various medical imaging techniques, such as magnetic resonance imaging (MRI).

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