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using the "dot product" formula, you can find the angle. where |a| denotes the length (magnitude) of a. More generally, if b is another vector : where |a| and |b| denote the length of a and b and θis the angle between them. Thus, given two vectors, the angle between them can be found by rearranging the above formula: : :
What else can I help you with?
Deduce an expression for the torque develop by the armature of a dc motor?
he magnitude of torque depends on three quantities: First, the force applied; second, the length of the lever arm[4] connecting the axis to the point of force application; and third, the angle between the two. In symbols:whereτ is the torque vector and τ is the magnitude of the torque,r is the displacement vector (a vector from the point from which torque is measured to the point where force is applied), and r is the length (or magnitude) of the lever arm vector,F is the force vector, and F is the magnitude of the force,× denotes the cross product,θ is the angle between the force vector and the lever arm vector.
Is torque is a scalar or a vector quantity?
Since torque is a force, and as such has a direction, it is a vector.
Magnitude direction point of application and line of action are the four components of force?
The four components of force are the scalar/real component, fr and three vector components,Fv= Ifx + Jfy + Kfz. The force is F = fr + Ifx + jfy + Kfz.= fr + Fv. The line of action of the force is the vector Ifx + Jfy +kfz. The rotation angle around the vector axis is given by the arctangent Fv/fr.
If a book is pushed by 10N and the friction is 8N what is the resultant force?
In fact, there is an infinite number of answers because force is a vector, meaning that it has a magnitude and an orientation. For example, if someone pushes horizontaly onto the book (10N) and the friction is 8N in the opposite direction, the resultant force is 2N. But if the book is pushed at an angle, the resultant force changes.
Is tension a scalar or vector?
tension is a vector!(At first I thought it was a scalar too but this afternoon it was in our physics quiz,I answered scalar but I got it wrong because tension is a vector).this is the explanation:tension is the force producing such deformation.anything with force is a vector.Force always has direction.
What is a characteristic of a vector?
It has only magnitude and no direction. It depends on magnitude of two vectors which are multiplying and cosine of angle between them. A . B = AB (cosine of angle between them). Best example is 'work done by a force' = force . displacement = Fd(cosine of angle between force and displacement)
What is the unit of torque?
the unit of torque is NM.Torque has dimensions of force times distance. Official SI literature suggests using the unit newton metre (N·m) or the unit joule per radian.[8] The unit newton metre is properly denoted N·m or N m.Torque, moment or moment of force is the tendency of a force to rotate an object about an axis.The magnitude of torque depends on three quantities: the force applied, the length of the lever arm[2] connecting the axis to the point of force application, and the angle between the force vector and the lever arm. In symbols:whereτ is the torque vector and τ is the magnitude of the torque,r is the displacement vector (a vector from the point from which torque is measured to the point where force is applied), and r is the length (or magnitude) of the lever arm vector,F is the force vector, and F is the magnitude of the force,× denotes the cross product,θ is the angle between the force vector and the lever arm vector.
Deduce an expression for the torque develop by the armature of a dc motor?
he magnitude of torque depends on three quantities: First, the force applied; second, the length of the lever arm[4] connecting the axis to the point of force application; and third, the angle between the two. In symbols:whereτ is the torque vector and τ is the magnitude of the torque,r is the displacement vector (a vector from the point from which torque is measured to the point where force is applied), and r is the length (or magnitude) of the lever arm vector,F is the force vector, and F is the magnitude of the force,× denotes the cross product,θ is the angle between the force vector and the lever arm vector.
What is equal to force perpendicular?
Force perpendicular is equal to the force component that acts perpendicular to a surface or object. It is calculated by multiplying the force magnitude by the sine of the angle between the force vector and the direction perpendicular to the object.
A force vector describes what two things about a force?
magnitude and direction more accurate magnitude and sence.
What is the magnitude of the resultant force when forces of magnitude are combined?
-- When forces of unequal magnitude are added, the magnitude of the sum can be anything between the difference and sum of the individual magnitudes, depending on the angle between them. -- When forces of equal magnitude are added, the magnitude of the sum can be anything between zero and double the individual magnitudes, depending on the angle between them.
Is force scalar?
No, force is a vector quantity because it has both magnitude and direction. Scalars have only magnitude and no specific direction.
If Refers To The Size Or Strength Of The Force?
The "size" of a vector quantity - such as a force - is often called a MAGNITUDE.
A force has both what?
A force is a vector quantity because it has both magnitude and direction.
Is a force scalar or vector?
It's a vector, and I believe it always points upward.
What is magnitude in a vector?
A vector has n both magnitude and direction. The magnitude is the vector length or value. For example if car is traveling at 60 mph heading East, its magnitude (speed) is 60 mph. Or, if a force of 100 pounds is applied at a 45 degree angle,its magnitude is 100 pounds.
What does a force vector show about the push or pull of an object?
A force vector shows the direction and magnitude of a push or pull acting on an object. The direction of the vector indicates the direction in which the force is acting, while the length of the vector represents the strength or magnitude of the force.
