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Does the vector quantity torque depends on the choice of origin?
No, torque is a vector quantity that does not depend on the choice of origin. Torque is defined by the force applied to an object and the distance from the point of rotation, regardless of where the origin is located.
Vector method to find out the acceleration of a particle is -wwrwhere angular velocity is w?
To find the acceleration of a particle using the vector method, you can use the equation a = r x (w x v), where "a" is the acceleration, "r" is the position vector, "w" is the angular velocity vector, and "v" is the velocity vector. The cross product (x) represents the vector cross product. By taking the cross product of the angular velocity vector with the velocity vector and then multiplying the result by the position vector, you can find the acceleration of the particle.
WHAT POSITION VECTOR?
A position vector is a vector that represents the location of a point in space relative to a reference point or origin. It specifies the distance and direction from the origin to the point. In three-dimensional space, a position vector is typically denoted as <x, y, z>.
What does the length of a position vector represent?
The length represents the magnitude or distance from the origin.
What is the translational speed of the particle at point a?
The translational speed of a particle at a point is the magnitude of the particle's velocity vector at that point. It is given by the derivative of the position vector with respect to time evaluated at that point.
Does the vector quantity torque depends on the choice of origin?
No, torque is a vector quantity that does not depend on the choice of origin. Torque is defined by the force applied to an object and the distance from the point of rotation, regardless of where the origin is located.
What is position vector in physics?
A position vector tells us the position of an object with reference to the origin
Vector method to find out the acceleration of a particle is -wwrwhere angular velocity is w?
To find the acceleration of a particle using the vector method, you can use the equation a = r x (w x v), where "a" is the acceleration, "r" is the position vector, "w" is the angular velocity vector, and "v" is the velocity vector. The cross product (x) represents the vector cross product. By taking the cross product of the angular velocity vector with the velocity vector and then multiplying the result by the position vector, you can find the acceleration of the particle.
WHAT POSITION VECTOR?
A position vector is a vector that represents the location of a point in space relative to a reference point or origin. It specifies the distance and direction from the origin to the point. In three-dimensional space, a position vector is typically denoted as <x, y, z>.
What does the length of a position vector represent?
The length represents the magnitude or distance from the origin.
What is the translational speed of the particle at point a?
The translational speed of a particle at a point is the magnitude of the particle's velocity vector at that point. It is given by the derivative of the position vector with respect to time evaluated at that point.
What is the beginning point of a vector?
The beginning point of a vector is referred to as its origin or initial point. It is the starting position from which the vector is measured or represented by an arrow.
Find the displacement of a particle?
The displacement of a particle is the change in its position from its initial point to its final point, taking into account direction. It can be calculated as the difference between the final position and the initial position vector of the particle.
Is torque is a scalar or a vector quantity?
Since torque is a force, and as such has a direction, it is a vector.
When is the velocity vector of a particle tangent to the path of the particle?
The velocity vector of a particle is tangent to the path of the particle at any point. This is because velocity is a vector that points in the direction of motion of the particle at that particular instant.
What is areal velocity?
The areal velocity of a particle is the rate at which area is swept out as the particle travels along a curve. The area is swept out by a vector (starting at the origin.)In words:Imagine an empty space with a single point in it. That point doesn't move; it represents the the origin. Now image a particle flying around in that space. An arrow always points from the origin to that particle (and touches the particle). As the particle moves, that arrow moves, possibly getting longer or shorter depending on where the particle is. Instead of just moving though, it creates a "path" of area. Everywhere that arrow touches in the space, it "paints" that space, so as it moves, more and more space gets "painted". This "painted space" is the area. The rate at which the amount of this "painted space" changes is the areal velocity of that particle.As equations:dA/dt=r x v/2dA/dt=L/(2m)Notice that the areal velocity is a vector.
Which of the folloing are vector quantities?
You forgot to include the list, but typical vector quantities include position, velocity, acceleration, force, torque, momentum, rotational momentum.
