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What is the formula for calculating the angular velocity of an object in circular motion, given its linear velocity and radius of rotation (mv/r)?

Kitty Schaden ∙

Lvl 10

∙ 2w ago

Updated: 3/12/2025

The formula for calculating the angular velocity of an object in circular motion is angular velocity () linear velocity (v) / radius of rotation (r).

AnswerBot

∙ 2w ago

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Q: What is the formula for calculating the angular velocity of an object in circular motion, given its linear velocity and radius of rotation (mv/r)?

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Continue Learning about Physics

What is the formula for calculating the linear velocity (v) of an object in circular motion, given the radius (r) and angular velocity (w)?

The formula for calculating the linear velocity (v) of an object in circular motion is v r w, where v is the linear velocity, r is the radius, and w is the angular velocity.

How is angular velocity related to tangential velocity?

Angular velocity and tangential velocity are related through the radius of the circular path. Tangential velocity is the linear speed at which an object is moving along the circular path, while angular velocity is the rate of change of angular displacement. The tangential velocity is the product of the angular velocity and the radius of the circular path.

What is the relationship between the velocity (v) and the radius (r) of rotation in the equation vrw?

The relationship between velocity (v) and radius (r) of rotation in the equation v r is that the velocity of an object in circular motion is directly proportional to the radius of the circle and the angular velocity () of the object. This means that as the radius of rotation increases, the velocity of the object also increases, assuming the angular velocity remains constant.

What is the relationship between velocity, omega, and radius in circular motion?

In circular motion, velocity is directly proportional to the radius and angular velocity (omega). This means that as the radius or angular velocity increases, the velocity of the object in circular motion also increases.

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.

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Related Questions

What is the formula for calculating the linear velocity (v) of an object in circular motion, given the radius (r) and angular velocity (w)?

The formula for calculating the linear velocity (v) of an object in circular motion is v r w, where v is the linear velocity, r is the radius, and w is the angular velocity.

How is angular velocity related to tangential velocity?

Angular velocity and tangential velocity are related through the radius of the circular path. Tangential velocity is the linear speed at which an object is moving along the circular path, while angular velocity is the rate of change of angular displacement. The tangential velocity is the product of the angular velocity and the radius of the circular path.

What is the Relation between angular velocity and frequency?

If there is a rotation, "angular velocity" and "angular frequency" is the same thing. However, "angular frequency" can also refer to situations where there is no rotation.

What direction does the angular velocity vector of the Earth's rotation point toward?

The angular velocity vector of Earth's rotation points toward the North Pole.

What is the direction of angular velocity?

The direction of angular velocity is perpendicular to the plane in which the rotation is occurring. It follows the right-hand rule, with the thumb pointing in the direction of the axis of rotation and the fingers curling in the direction of the angular velocity.

How is the radius of rotation related to the centripetal force and angular velocity?

The centripetal force required for an object to rotate in a circle is directly proportional to the square of the angular velocity and inversely proportional to the radius of rotation. This means that as the radius decreases, the centripetal force required to keep the object in circular motion increases, while an increase in angular velocity will also require more centripetal force.

What is the angle between angular and tangential velocity?

The angle between angular and tangential velocity is 90 degrees. Angular velocity is perpendicular to the direction of tangential velocity in a circular motion.

What is the difference between angular velocity and angular momentum?

Angular velocity is a measure of how fast an object is rotating around a specific axis, usually measured in radians per second. Angular momentum, on the other hand, is a measure of how difficult it is to stop an object's rotation, calculated as the product of angular velocity and moment of inertia. In simple terms, angular velocity is the speed of rotation, while angular momentum is the rotational equivalent of linear momentum.

What is an angular velocity scalar or vector?

Angular velocity is a vector quantity that describes the rate of rotation of an object about an axis. It has both magnitude (how fast the object is rotating) and direction (the axis of rotation). Scalar angular velocity only considers the magnitude of the rotation rate without specifying the direction.

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.

Relation between linear speed and angular velocity?

Linear speed is directly proportional to the radius of rotation and the angular velocity. The equation that relates linear speed (v), angular velocity (ω), and radius (r) is v = rω. This means that the linear speed increases as either the angular velocity or the radius of rotation increases.

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).

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