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What is the critical radius formula and how is it used in determining the stability of a system?
The critical radius formula is used to calculate the minimum size at which a system becomes stable. It is determined by the balance between internal and external forces. When the system's radius is smaller than the critical radius, it is unstable.
What is the effect on the orbital velocity of the sattelite if its orbital radius is doubled?
You can calculate this with Kepler's Third Law. "The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit." This is valid for other orbiting objects; in this case you can replace "planet" with "satellite". Just assume, for simplicity, that the satellite orbits Earth in a circular orbit - in this case, the "semi-major axis" is equal to the distance from Earth's center. For your calculations, remember also that if the radius is doubled, the total distance the satellite travels is also doubled.
When does centripetal force double?
Since a=Rω², when you double the radius, but hold the angular velocity constant, you double the force. Also when you increase the angular velocity or velocity by a factor of √2 and hold the radius constant.
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 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 new volume of a cylinder if the height and radius are doubled?
If the radius and height of a cylinder are both doubled, then its surface area becomes 4 times what it was originally, and its volume becomes 8 times as much.
What is the critical radius formula and how is it used in determining the stability of a system?
The critical radius formula is used to calculate the minimum size at which a system becomes stable. It is determined by the balance between internal and external forces. When the system's radius is smaller than the critical radius, it is unstable.
What is the effect on the orbital velocity of the sattelite if its orbital radius is doubled?
You can calculate this with Kepler's Third Law. "The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit." This is valid for other orbiting objects; in this case you can replace "planet" with "satellite". Just assume, for simplicity, that the satellite orbits Earth in a circular orbit - in this case, the "semi-major axis" is equal to the distance from Earth's center. For your calculations, remember also that if the radius is doubled, the total distance the satellite travels is also doubled.
When does centripetal force double?
Since a=Rω², when you double the radius, but hold the angular velocity constant, you double the force. Also when you increase the angular velocity or velocity by a factor of √2 and hold the radius constant.
Suppose a sphere has a volume equal to 45 units 3 - what is the volume if the radius is doubled?
A sphere with a volume of 45 cubic units has a radius of 2.21 units. If you double the radius to 4.42 units, the volume becomes 362 units3Apex answer: 360 units3
Is the critical velocity equal to orbital velocity of satellite?
Balance of force of gravity by centripetal forceYes, for any given orbital radius (r) only one velocity will give stable orbit, this is called the critical velocity.Pick your orbital radius and satellite mass (m)Use Gmm / r2 to calculate gravitational force (f),then find velocity from : v = sq root ( (r * f ) / m)
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 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.
If the radius and height of a cylinder are doubled then its lateral are?
quadrupled. :)
When the radius of a circle is doubled what happens to the area?
It quadruples.
What happens to a circle when the radius is doubled?
The area quadruples.
What is the relationship between the radius and the velocity of a rotating object?
The velocity of a rotating object is directly proportional to its radius. As the radius increases, the velocity also increases to maintain angular momentum. Mathematically, this relationship is described by the equation v = rω, where v is the linear velocity, r is the radius, and ω is the angular velocity.
