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When earth angular velocity increase then gravitational acceleration increase?
Wiki User
∙ 13y ago
Let's be very accurate when describing accelerations in this question.
Consider a person at the equator. The gravitational force of attraction on him is constant whether or not the earth is rotating. This acceleration is called the acceleration due to gravity (ag)
Now, since the earth is rotating about its axis, there has to be a centripetal force on the person. It is the gravitational force which provides the centripetal force. Thus, there is a centripetal acceleration on the person (ac)
Finally, the rest of the gravitational force causes the person to accelerate towards earth. This is called the acceleration of free fall (af)
This gives ag = ac + af
ac is given by the equation: ac = w2r
where w is the angular velocity and r is the radius of rotation
If the angular velocity of the earth increases, centripetal acceleration will increase.
af = ag - w2r
Therefore, the acceleration of free fall will decrease.
Wiki User
∙ 13y ago
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How can explain inertia governor?
Centrifugal governors respond to angular velocity. Inertia governors respond to angular acceleration.
How do you increase the angular velocity of a rotating object?
Angular velocity just means how fast it's rotating. If youaa want more angular velocity, just rotate it faster or decrease the radius (move it closer to the center of rotation). Just like force = rate of change of momentum, you have torque= rate of change of angular moment Or We can increase the angular velocity of a rotating particle by applying a tangential force(i.e. accelaration) on the particle. Since the velocity of the particle is tangential with the circle along which it is moving, the tangential accelaration will not change the diriction of the velocity(as angle is 0),but will cause a change in magnitude. Thus angular velocity will increase.
What are the two kinds of acceleration?
The three basic types of acceleration is absolute (acceleration in a direction), angular (acceleration due to rotation) , and Coriolis (acceleration due to a point changing its distance from the center of rotation while spinning Eg. swirling toilet water.) Hope this helps, Speeding Up, Slowing Down, and Changing Direction
If Jupiter underwent gravitational collapse what would happen to its rate of rotation?
It would increase due to the conservation of angular momentum.
Is angular speed a vector?
Scalar. Angular frequency vector is roughly synonymous with angular velocity.
Can uniform angular velocity has acceleration?
No, uniform angular velocity means no angular acceleration.
What is angular acceleration?
Angular acceleration is the trate of change of angular velocity, often represented by the letter alpha.
When angular velocity decreases the direction of angular acceleration is opposite to angular velocity .why?
Take the velocity to be in positive direction. Positive acceleration increases velocity and they are in the same direction. Negative acceleration reduce velocity and they are in opposite direction. It does not matter if the motion in linear or anfular.
How do you find out the direction of angular accelaration?
The direction of angular acceleration comes from whether the angular speed of the object is clockwise or counterclockwise and whether it is speeding up or slowing down.The direction of the angular acceleration will be positive if the angular velocity is counterclockwise and the object's rotation is speeding up or if the angular velocity is clockwise and the object's rotation is slowing downThe direction of the angular acceleration will be negative if the angular velocity is clockwise and the object's rotation is speeding up or if the angular velocity is counterclockwise and the object's rotation is slowing downThe angular acceleration will not have a direction if the object's angular velocity is constant
How is the radius of rotation related to the centripetal force and angular velocity?
Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae): Radius of rotation is unrelated to angular velocity. Linear velocity = angular velocity x radius Centripetal acceleration = velocity squared / radius Centripetal acceleration = (angular velocity) squared x radius Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius
Is angular momentum always parallel to angular acceleration?
momentum is product of moment of inertia and angular velocity. There is always a 90 degree phase difference between velocity and acceleration vector in circular motion therefore angular momentum and acceleration can never be parallel
How many times centripetal force will increase if the angular speed of a body moving with uniform speed moving in a circle is increases?
Centripetal acceleration, and therefore centripetal force, is proportional to the square of the angular velocity. For example, if you increase the angular velocity by a factor of 10, the centripetal force will be increased by a factor of 100.
If you increase the radius of circular motion then what is the centripetal acceleration?
That depends what you will remain constant: the angular velocity, or the speed. Here are two formulae that can help you decide: acceleration = speed squared / radius, and acceleration = angular velocity squared times radius. Angular speed should be measured in radians in this case. Angular speed is equal to 2 x pi x (revolutions per second). From the above formulae, it clearly follows that: (a) If you maintain the speed constant (and thereby reduce angular speed, a larger radius means less centripetal acceleration. (b) If you maintain the angular speed constant (and thereby increase the speed), a larger radius means more centripetal acceleration.
How can explain inertia governor?
Centrifugal governors respond to angular velocity. Inertia governors respond to angular acceleration.
The measure of how fast a velocity is changing at a specific instant is known as?
The rate of change of velocity is known as acceleration. This can come in different forms (linear / nonlinear acceleration, angular acceleration ect).
How do you increase the angular velocity of a rotating object?
Angular velocity just means how fast it's rotating. If youaa want more angular velocity, just rotate it faster or decrease the radius (move it closer to the center of rotation). Just like force = rate of change of momentum, you have torque= rate of change of angular moment Or We can increase the angular velocity of a rotating particle by applying a tangential force(i.e. accelaration) on the particle. Since the velocity of the particle is tangential with the circle along which it is moving, the tangential accelaration will not change the diriction of the velocity(as angle is 0),but will cause a change in magnitude. Thus angular velocity will increase.
What is the equation or the formula of centripetal acceleration?
a=(v^2)/r or a=r(angular velocity)^2
