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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: : :
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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.
How does magnetic force become stronger?
Since magnitude of magnetic force is given by, Fm = qvB sinθ,force will be maximum when θ = 90o So, magnetic force becomes stronger when a charged particle is moving perpendicular to the direction of magnetic field.
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.
Which are the scalar quantities?
A scalar quantity is a non-vector quantity. In a vector quantity, direction is relevant. In a scalar quantity, it is not. For example, mass (measured in kg.) is a scalar; force is usually indicated as a vector (magnitude in Newton, but the direction is also relevant).A scalar quantity is a non-vector quantity. In a vector quantity, direction is relevant. In a scalar quantity, it is not. For example, mass (measured in kg.) is a scalar; force is usually indicated as a vector (magnitude in Newton, but the direction is also relevant).A scalar quantity is a non-vector quantity. In a vector quantity, direction is relevant. In a scalar quantity, it is not. For example, mass (measured in kg.) is a scalar; force is usually indicated as a vector (magnitude in Newton, but the direction is also relevant).A scalar quantity is a non-vector quantity. In a vector quantity, direction is relevant. In a scalar quantity, it is not. For example, mass (measured in kg.) is a scalar; force is usually indicated as a vector (magnitude in Newton, but the direction is also relevant).
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)
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 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.
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.
A force has both what?
A force is a vector quantity because it has both magnitude and direction.
Is the force of gravity is a vector?
Yes. It results in a force that has a magnitude and a direction, and this is the definition of a force vector.
How is magnitude of force represented?
vector
What does the length of a vector of a arrow represent?
Magnitude of the force.
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.
Is a force scalar or vector?
It's a vector, and I believe it always points upward.
Is thrust scalar or vector?
Thrust is a force and a force is a vector quantity having a magnitude and direction
Why is the direction of force important?
Force is a vector quantity and vector quantities have both direction and magnitude.
