The radius vector of a point A relative to the origin varies as →r=at^i+bt2^j where a and b are positive constants.

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## What is radius vector of a curve?

radius vector (plural radii vectores or radius vectors) (mathematics) A straight line (or the length of such line) connecting any point, as of a curve, with a fixed point, or pole, round which the straight line turns, and to which it serves to refer the successive points of a curve, in a system of polar coordinates.

## How can radius be a vector?

CONSTANT ELECTROMAGNETIC FIELDS where R+ − = R+ − R− is the radius vector from the center of negative to the center of positive charge. In particular, if we have altogether two charges, then R+ − is the radius vector between them.

## What is radius vector in a circular motion?

The radius for circular motion is a vector. It is shown at the left drawn in red. This radius vector locates the orbiting object. One should imagine an x, y coordinate system with its origin at the center of the circle. The radius extends from this origin to the position of the object.

## What is the angle between radius vector and centripetal acceleration?

So the angle between centripetal acceleration and radius vector is 180 degrees.

## How do I know the direction of a vector?

## What is radius vector in circular motion 12th class?

For a particle performing circular motion, its position vector with respect to the centre of the circle is called the radius vector. [Note : The radius vector has a constant magnitude, equal to the radius of the circle. However, its direction changes as the position of the particle changes along the circumference.]

## Is radius a vector or scalar?

Radius is scalar quantity which is fully described by its magnitude.It is defined as the distance between center and any point on circumference of a circle.

## Is area a vector or scalar?

Area is a vector quantity.

## What is angular velocity in circular motion?

In uniform circular motion, angular velocity (𝒘) is a vector quantity and is equal to the angular displacement (Δ𝚹, a vector quantity) divided by the change in time (Δ𝐭). Speed is equal to the arc length traveled (S) divided by the change in time (Δ𝐭), which is also equal to |𝒘|R.

## What is angular displacement in circular motion?

Angular displacement is defined as “the angle in radians (degrees, revolutions) through which a point or line has been rotated in a specified sense about a specified axis”. It is the angle of the movement of a body in a circular path.

## What is uniform circular motion?

uniform circular motion, motion of a particle moving at a constant speed on a circle. In the Figure, the velocity vector v of the particle is constant in magnitude, but it changes in direction by an amount Δv while the particle moves from position B to position C, and the radius R of the circle sweeps out the angle ΔΘ.

## What is the angle between radius vector and angular vector?

This means the angle between the two vectors must be 180∘ or π rad. i.e. they are in opposite directions assuming that radius is measured with its positive axis outwards.

## Is centripetal acceleration a constant vector?

Since v and R are constants for a given uniform circular motion, therefore the magnitude of centripetal acceleration is also constant. However, the direction of centripetal acceleration changes continuously. Therefore, centripetal acceleration is not a constant vector.

## What is difference between centripetal and centrifugal force?

Centripetal force is the component of force acting on an object in curvilinear motion which is directed towards the axis of rotation or centre of curvature. Centrifugal force is a pseudo force in a circular motion which acts along the radius and is directed away from the centre of the circle.

## What is vector formula?

the formula to determine the magnitude of a vector (in two dimensional space) v = (x, y) is: |v| =√(x2 + y2). This formula is derived from the Pythagorean theorem. the formula to determine the magnitude of a vector (in three dimensional space) V = (x, y, z) is: |V| = √(x2 + y2 + z2)

## What is magnitude of a vector?

The magnitude of a vector is the length of the vector. The magnitude of the vector a is denoted as ∥a∥. See the introduction to vectors for more about the magnitude of a vector. Formulas for the magnitude of vectors in two and three dimensions in terms of their coordinates are derived in this page.

## Is speed a vector?

Speed is a scalar quantity – it is the rate of change in the distance travelled by an object, while velocity is a vector quantity – it is the speed of an object in a particular direction.

## What is radius of gyration explain its physical significance?

Radius of gyration is defined as the distance from the axis of rotation to a point where total mass of the body is supposed to be concentrated. 1. It the particles of body are distributed lose to axis of rotation,the radius gyration is less.

## What is radius of gyration shaala com?

Radius of gyration of a body is defined as the distance between the axis of rotation and a. point at which the whole mass of the body is supposed to be concentrated, so as to possess the same moment of inertia as that of body.

## What produces angular acceleration?

Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration.

## What quantity is radius?

## What is a vector Trig?

A vector is determined by two coordinates, just like a point–one for its magnitude in the x direction, and one for its magnitude in the y direction. The magnitude of a vector in the x-direction is called the horizontal, or x-component of the vector.

## Is luminous intensity a scalar or vector quantity?

Luminous intensity: The amount of energy emitted by a light source in a particular direction is called luminous intensity. The intensity of any type is a scalar.

## Is volume a vector?

Volume is not a vector quantity but a scalar quantity. A scalar quantity has only magnitude but a vector quantity has both magnitude and direction. Apart from volume, mass, speed, energy, time, etc., that have magnitude are scalar quantities.