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How can one calculate angular velocity from linear velocity?
To calculate angular velocity from linear velocity, you can use the formula: Angular velocity Linear velocity / Radius. This formula relates the speed of an object moving in a circular path (angular velocity) to its linear speed and the radius of the circle it is moving in.
Does a particle moving along a line that passes through the origin has zero angular momentum about that origin?
No, the particle's angular momentum depends on both its linear momentum and its distance from the origin. If the particle is moving along a line passing through the origin, its angular momentum will not necessarily be zero unless its linear momentum is also zero.
When a particle move in a circle then angle between linear velocity and angular velocity?
The angle between the linear velocity and angular velocity of a particle moving in a circle is typically 90 degrees. This means that they are perpendicular to each other.
How can one determine the angular velocity from linear velocity?
To determine the angular velocity from linear velocity, you can use the formula: Angular velocity Linear velocity / Radius. This formula relates the speed of an object moving in a circular path (linear velocity) to how quickly it is rotating around the center of the circle (angular velocity).
What is the relationship between centripetal acceleration and angular acceleration?
Centripetal acceleration and angular acceleration are related because centripetal acceleration is the linear acceleration experienced by an object moving in a circular path, while angular acceleration is the rate at which the angular velocity of the object changes. The two are connected through the equation a r, where a is the centripetal acceleration, r is the radius of the circular path, and is the angular acceleration.
How can one calculate angular velocity from linear velocity?
To calculate angular velocity from linear velocity, you can use the formula: Angular velocity Linear velocity / Radius. This formula relates the speed of an object moving in a circular path (angular velocity) to its linear speed and the radius of the circle it is moving in.
Does a particle moving along a line that passes through the origin has zero angular momentum about that origin?
No, the particle's angular momentum depends on both its linear momentum and its distance from the origin. If the particle is moving along a line passing through the origin, its angular momentum will not necessarily be zero unless its linear momentum is also zero.
When a particle move in a circle then angle between linear velocity and angular velocity?
The angle between the linear velocity and angular velocity of a particle moving in a circle is typically 90 degrees. This means that they are perpendicular to each other.
How can one determine the angular velocity from linear velocity?
To determine the angular velocity from linear velocity, you can use the formula: Angular velocity Linear velocity / Radius. This formula relates the speed of an object moving in a circular path (linear velocity) to how quickly it is rotating around the center of the circle (angular velocity).
What is the relationship between centripetal acceleration and angular acceleration?
Centripetal acceleration and angular acceleration are related because centripetal acceleration is the linear acceleration experienced by an object moving in a circular path, while angular acceleration is the rate at which the angular velocity of the object changes. The two are connected through the equation a r, where a is the centripetal acceleration, r is the radius of the circular path, and is the angular acceleration.
How can one find the linear velocity from angular velocity?
To find the linear velocity from angular velocity, you can use the formula: linear velocity angular velocity x radius. This formula relates the speed of an object moving in a circle (angular velocity) to its speed in a straight line (linear velocity) based on the radius of the circle.
Relation between linear velocity and angular velocity?
Linear velocity is directly proportional to the radius at which the object is moving and the angular velocity of the object. The equation that represents this relationship is v = rω, where v is the linear velocity, r is the radius, and ω is the angular velocity. As the angular velocity increases, the linear velocity also increases, given the same radius.
What is the difference between linear momentum and angular momentum, and how does this difference impact the motion of objects?
Linear momentum is the momentum of an object moving in a straight line, while angular momentum is the momentum of an object rotating around an axis. The main difference is the direction of motion - linear momentum is in a straight line, while angular momentum is in a circular motion. This difference impacts the motion of objects by determining how they move and interact with their surroundings. Objects with linear momentum will continue moving in a straight line unless acted upon by an external force, while objects with angular momentum will continue rotating unless a torque is applied to change their direction.
What is the value of displacement of particle moving in a circular path for two complete circular motion?
The value of displacement of a particle moving in a circular path for two complete circular motions is zero. This is because the particle ends up back at its starting position after completing each circle, resulting in no net displacement over the two complete circular motions.
A patricle move with a constant angular speed of rads around a circule path of radius 1.5m find the acceleration of the particle?
The acceleration of the particle moving in a circular path is given by the formula a = rω^2, where r is the radius of the circle and ω is the angular speed. Plugging in the values, a = (1.5 m)(rads/s)^2 = 2.25 m/s^2.
When a particle is moving in a circular motion what is the work done by it?
When a particle is moving in a circular motion at a constant speed, the work done by the particle is zero. This is because work is defined as force applied over a distance in the direction of the force, and in circular motion, the force and displacement are perpendicular to each other, resulting in no work being done.
What is the orbital angular momentum formula and how is it used in physics?
The orbital angular momentum formula is L = r x p, where L is the angular momentum, r is the position vector, and p is the momentum vector. In physics, this formula is used to describe the rotational motion of an object around a fixed point. It helps in understanding the conservation of angular momentum and the behavior of rotating systems, such as planets orbiting the sun or electrons moving around an atomic nucleus.
