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When the mass and the radius are held constant what happens to the centripetal force if the frequency of the rotation is increased?
Wiki User
∙ 11y ago
One formula to calculate centripetal acceleration is:
a = omega2r, where omega is the angular velocity.
Combining this with Newton's Second Law:
F=ma
you get:
F = m omega2 r
For completeness sake, omega (in radians per second) = 2 pi f (2 x pi x the frequency,
in revolutions / second). Thus, omega and the frequency are proportional.
As you can see, the force is proportional to the square of the angular velocity.
For example, doubling the frequency would cause double the angular velocity,
which would require an increase of the force by a factor of 4.
Wiki User
∙ 11y ago
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Can centripetal force produce rotation?
no, but rotation can produce centripetal force
If the radius of rotation and the mass being kept constant how does the centripetal force vary with the speed of rotation of the body?
Recall centripetal force = m v^2 / rAs m and r are found to be constants then centripetal force F is directly proportional to the square of the velocity of the body
What is the measure of how effectively a force causes rotation?
centripetal force
Difference between inertial frame of reference and non-inertial frame of reference?
An inertial frame of reference (FOR) is a non-accelerating FOR , for example if a person is observing a moving car while at rest or while moving at constant velocity, he is in an inertial FOR. A non-inertial frame of reference is an accelerating FOR for example a rotating FOR. ( Rotation requires centripetal force and centripetal acceleration so any rotating object always requires a centripetal acceleration to rotate.)
What is Newton's law for rigid rotation?
( t = I a ) Rotational motion and centripetal acceleration. This is defined by its equations of motion.
Can centripetal force produce rotation?
no, but rotation can produce centripetal force
If the radius of rotation and the mass being kept constant how does the centripetal force vary with the speed of rotation of the body?
Recall centripetal force = m v^2 / rAs m and r are found to be constants then centripetal force F is directly proportional to the square of the velocity of the body
Centripetal force can it produce rotation?
A centripetal force is, by definition, a force that makes a body follow a curved path. So, yes, a centripetal force causes rotation about a point in space.
What is uniform circular motion?
Uniform circular motion describes motion in which an object moves with constant speed along a circular path.In physics, uniform circular motion describes the motion of a body traversing a circular path at constant speed. The distance of the body from the axis of rotation remains constant at all times. Though the body's speed is constant, its velocity is not constant: velocity, a vector quantity, depends on both the body's speed and its direction of travel. This changing velocity indicates the presence of an acceleration; this centripetal acceleration is of constant magnitude and directed at all times towards the axis of rotation. This acceleration is, in turn, produced by a centripetal force which is also constant in magnitude and directed towards the axis of rotation.
Going around a ferris wheel without stopping is an example of what type of circular motion?
Ferris wheel goes around in uniform circular motion. The wheel traverses in a circular path at a constant speed and distance of the body from the axis of rotation is fixed as constant at all times. While the speed is constant, its velocity is not constant but changing. It is an example of centripetal force constant in magnitude acting towards the axis of rotation.
What is the measure of how effectively a force causes rotation?
centripetal force
How do you step the frequency from 50hz to 60hz?
The frequency of a grid system is set by the rotation of the generating equipment. If you have a small generator, the frequency can be increased by increasing the speed in revolutions per minute of the engine driving the generator.
How does the centripetal force with the speed of rotation of the body with constant mass and radius of rotation?
You can calculate the centripetal ACCELERATION with one of these formulae: acceleration = velocity squared / radius acceleration = omega squared x radius Acceleration refers to the magnitude of the acceleration; the direction is towards the center. Omega is the angular speed, in radians per second. To get the centripetal FORCE, you can use Newton's Second Law. In other words, just multiply the acceleration by the mass.
Will magnitude of accleration be constant if oject travels in constant speed in circular path?
Short answer: yes.The force required to maintain constant-velocity circular motion is called centripetal force, and it acts toward the center of the circle (perpendicular to the object's tangential velocity). Centripetal force is given byf_c = mv^2 / rwhere m is the mass of the orbiting object, v is its tangential velocity and r is its (presumably constant) distance from the center of rotation. Centripetal acceleration is given by dividing both sides of this equation by m (as governed by Newton's second law).
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 is the significance of the rotation of a generator?
The significance factor of the rotation of a generator is, that this rotation is what governs the frequency output of the generator.
How are a reflection and rotation alike?
Size remains constant in reflection and rotation.
