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When are velocity and acceleration perpendicular to each other?
Velocity and acceleration are perpendicular to each other when the magnitude of the acceleration is equal to the centripetal acceleration required for circular motion, and the direction of the acceleration is towards the center of the circular path while the velocity is tangent to the path. This occurs in uniform circular motion.
What is meant by centripetal acceleration is perpendicular to velocity?
As an object goes round in a circular path, then its velocity will along the tangent at that instant. But centripetal acceleration is normal to that tangent and so along the radius of curvature. As acceleration is perpendicular to the velocity, the direction aspect is ever changing and so the object goes round the circular path.
What is the direction of acceleretion of a body in circular motion?
-- The acceleration is directed from the body to the center of the circle. -- The velocity is tangent to the circle at the place where the body is. That direction is also perpendicular to the acceleration at that moment.
What are physical examples of vectors which are perpendicular to their derivatives?
One physical example of a vector perpendicular to its derivative is angular momentum in the case of rotational motion. The angular momentum vector is perpendicular to the angular velocity vector, which is the derivative of the angular displacement vector. Another example is velocity and acceleration in circular motion, where velocity is perpendicular to acceleration at any given point on the circular path.
When an object is moving with uniform circular motion the centripetal acceleration of the object?
The centripetal acceleration of an object in uniform circular motion is directed towards the center of the circular path and is perpendicular to the object's velocity. It is responsible for changing the direction of the object's velocity, keeping it moving in a circular path.
When are velocity and acceleration perpendicular to each other?
Velocity and acceleration are perpendicular to each other when the magnitude of the acceleration is equal to the centripetal acceleration required for circular motion, and the direction of the acceleration is towards the center of the circular path while the velocity is tangent to the path. This occurs in uniform circular motion.
What is meant by centripetal acceleration is perpendicular to velocity?
As an object goes round in a circular path, then its velocity will along the tangent at that instant. But centripetal acceleration is normal to that tangent and so along the radius of curvature. As acceleration is perpendicular to the velocity, the direction aspect is ever changing and so the object goes round the circular path.
What is the direction of acceleretion of a body in circular motion?
-- The acceleration is directed from the body to the center of the circle. -- The velocity is tangent to the circle at the place where the body is. That direction is also perpendicular to the acceleration at that moment.
What are physical examples of vectors which are perpendicular to their derivatives?
One physical example of a vector perpendicular to its derivative is angular momentum in the case of rotational motion. The angular momentum vector is perpendicular to the angular velocity vector, which is the derivative of the angular displacement vector. Another example is velocity and acceleration in circular motion, where velocity is perpendicular to acceleration at any given point on the circular path.
When an object is moving with uniform circular motion the centripetal acceleration of the object?
The centripetal acceleration of an object in uniform circular motion is directed towards the center of the circular path and is perpendicular to the object's velocity. It is responsible for changing the direction of the object's velocity, keeping it moving in a circular path.
Why the force and velocity are in perpendicular direction?
The force and velocity are in perpendicular directions in circular motion because the force is providing the centripetal acceleration required to keep an object moving in a circular path. The velocity is tangential to the path of the object, while the force acts towards the center of the circle, creating the necessary acceleration to maintain the circular motion.
What is the relationship between radial and tangential acceleration in circular motion?
In circular motion, radial acceleration is perpendicular to the velocity and points towards the center of the circle, while tangential acceleration is parallel to the velocity and changes the speed of the object. The two accelerations are independent of each other and can act simultaneously in different directions.
Why is the acceleration vector is always at 90 degrees to the velocity vector?
That's only true when the object is in circular motion.The circular motion is the result of a force (which produces acceleration)that's always perpendicular to the object's velocity.Like the gravitational force between the Earth and a geostationary satellite,or the tension in the string of a yo-yo that's doing circles.
When an object moves in a circular path will the velocity change will there be acceleration?
The velocity of an object moving in a circular path will change because the direction of the velocity vector is constantly changing. This change in velocity indicates that there is acceleration present, known as centripetal acceleration, which always points towards the center of the circular path.
What is tangential velocity and tangential acceleration?
Tangential velocity is the component of velocity that is perpendicular to the radial direction in circular motion. It represents the speed at which an object is moving along the circular path. Tangential acceleration is the rate at which the tangential velocity of an object changes, causing the object to speed up or slow down in its circular motion.
What is the relationship between centripetal acceleration and angular velocity in circular motion?
In circular motion, centripetal acceleration is directly proportional to angular velocity. This means that as the angular velocity increases, the centripetal acceleration also increases.
Is it possible for an objects velocity to be perpendicular to the objects acceleration?
no
