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Your question leaves a lot to the imagination. One can only assume that you are talking about an object in circular motion, and you wish to know how doubling the radius of the orbit will change the linear -- or tangential -- speed of the object. The trouble is, we don't know the angular velocity of either condition, so let's assume there is no difference. The following model illustrates. Imagine you have a rope two meters long with a handle on one end, a ball on the other, and another ball located directly in between. Now, imagine yourself swinging the rope overhead so that the balls trace a circular path. Both balls will have the same angular velocity, but the outside ball is moving much faster, because it has a greater distance to cover. How much greater? Well, since the circumference of a circle is proportional to the square of the radius, doubling the radius quadruples the circumference, so the outside ball must travel four times faster to keep up with the inside ball.
What else can I help you with?
How do you convert radians per second to meters per second?
the tangential velocity is equal to the angular velocity multiplied by the radius the tangential velocity is equal to the angular velocity multiplied by the radius
What is the tangential speed of a passenger car on a ferris wheel that has a radius of 10 meters and rotates once in 30 seconds?
2.09
What is double the radius?
The radius multiplied by 2 => 2r
What is the centripetal acceleration of an object being swung on a string with a radius of 3 meters at a velocity of 4 meters per second?
Use the formula for centripetal acceleration: velocity squared / radius.
How do you find the circmference if you know the radius?
double the radius or multiply by 2 the radius
How can one determine the tangential velocity of an object in motion?
To determine the tangential velocity of an object in motion, you can use the formula: tangential velocity radius x angular velocity. The tangential velocity is the speed at which an object moves along its circular path. The radius is the distance from the center of the circle to the object, and the angular velocity is the rate at which the object rotates around the center. By multiplying the radius and angular velocity, you can calculate the tangential velocity of the object.
What is the relationship between angular velocity and tangential velocity in a rotating object?
Angular velocity and tangential velocity are related in a rotating object by the equation v r, where v is the tangential velocity, r is the radius of the object, and is the angular velocity. This means that the tangential velocity is directly proportional to the radius and the angular velocity of the object.
How do you convert radians per second to meters per second?
the tangential velocity is equal to the angular velocity multiplied by the radius the tangential velocity is equal to the angular velocity multiplied by the radius
What is the relationship between tangential velocity and velocity in a rotating object?
The tangential velocity of a rotating object is the component of its velocity that is perpendicular to the radius of the rotation. It is related to the overall velocity of the object by the equation v r, where v is the tangential velocity, r is the radius of rotation, and is the angular velocity. In simpler terms, the tangential velocity depends on how fast the object is spinning and how far away from the center it is.
What is the relationship between tangential velocity and circular motion?
In circular motion, tangential velocity is the speed at which an object moves along the circumference of the circle. It is perpendicular to the radius of the circle at any given point. The relationship between tangential velocity and circular motion is that the tangential velocity determines how fast an object is moving around the circle, while the radius of the circle affects the magnitude of the tangential velocity.
How is tangential speed affected by the radius?
Tangential speed is directly proportional to the radius. As the radius of an object increases, its tangential speed also increases. This relationship is described by the equation v = rω, where v is tangential speed, r is the radius, and ω is the angular velocity.
How is the centripetal force on a rotating body affected if you double the radius and leave the tangential velocity the same?
If you double the radius while keeping the tangential velocity constant, the centripetal force will also double. This is because the centripetal force is directly proportional to the square of the velocity and inversely proportional to the radius. Therefore, doubling the radius increases the centripetal force required to keep the body rotating at the same speed.
Is the tangential velocity of a rotating object greater when it is close to the center of rotation or when it is far from the center of rotation?
The tangential velocity of a rotating object is greater when it is far from the center of rotation. This is because the object has to cover a larger distance in the same amount of time when it is farther from the center, leading to a higher tangential velocity.
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 angular velocity of a vortex in obliquity?
The angular velocity of a vortex in obliquity refers to the rotation speed of the vortex in a tilted or inclined manner. It can be calculated using the formula: angular velocity = tangential velocity / radius of the vortex. The obliquity can affect the way the vortex rotates and moves within a fluid medium.
How is angular velocity related to tangential velocity?
The time, T , it takes for an object to go thru one comblete rotation of 360 degrees or 2pi radians is its "period." The rate at which it completes the rotation is its "angular velocity." The rate is the angle (in radians) divided by the time. So , Angular Velocity = 2 pi / T.
Is meters the SI unit for radius in linear velocity?
No, the SI unit for radius is meters (m) and the SI unit for linear velocity is meters per second (m/s). Radius and linear velocity are related in rotational motion, where linear velocity is the tangential velocity at a certain radius from an axis of rotation.
