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If a trapeze artist rotates twice each second while sailing through the air and contracts to reduce her rotational inertia to three-fourths how many rotations per second will result?
Wiki User
∙ 10y ago
Well, the only thing you really have to do is take how many times she rotates before the reduction in the distribution of mass and times it by the reciprocal of the fraction they give you. So, just take 2 times 4/3 and you get 2.67 rps.
Wiki User
∙ 10y ago
Wiki User
∙ 10y agoAngular momentum is always conserved, just like linear momentum is always conserved.
Initial angular momentum = Final angular momentum
Angular momentum = moment of inertia * angular velocity
Initial moment of inertia * initial angular velocity = Final moment of inertia * Final angular velocity
In symbols:
I(i) * ω(i) = I(f) * ω(f)
Another way to understand this is to say (dividing both sides by I(i) and ω(f)
I(i) / I(f) = ω(i) / ω(f)
I(i) / I(f) = ⅓
ω(i) / ω(f) = ⅓
ω(i) = 1rps
1 / ω(f) = ⅓
ω(f) = 3 rps
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What is the relationship between mass and inertia?
The inertia of an object is directly proportional to its mass. The greater the mass the greater the inertia and the lower the mass the lower the inertia. This tells us the fat person will have more inertia due to his greater mass and the thin person will have less inertia due to his lower mass.
How long balancing poles help a tightrope walker to main balance?
Long balancing poles have large rotational inertia, therefore the effect of net torque (if any) appears over large time. This much time is sufficient enough for the person to adjust the length of the pole so that the effect of torque can be corrected, while moving forward on the tightrope.
What is the relationship between heavy objects an inertia?
Nothing specifically. Inertia is a proprety of matter (as you may know from the Bill Nye the Science Guy intro), and just because there is more mass to an oject doesn't really mean that it would have more inertia. However, other forces such as friction and gravity are spread over an oject, so there would be more friction due to the mass and more downwards force because of gravity + the mass.
How does the four factors affects stability?
The four factors that affect stability are the center of gravity, the reaction forces, the buoyancy, and the moment of inertia. The center of gravity is the point at which the weight of an object is concentrated. It is the point at which the object balances when it is in equilibrium. If the center of gravity is located too far forward or backward, the object will be less stable and more prone to tipping over. When the object has its center of gravity located in the center, it will be more stable. The reaction forces refer to the forces that act on an object when it is in contact with another object. These forces include gravity, friction, and surface tension. If the reaction forces are not balanced, the object will be less stable. The buoyancy of an object is a measure of its ability to float in water or other fluids. The buoyancy of an object is determined by its density, shape, and size. If an object is too heavy, it will sink; if it is too light, it will float. An object’s buoyancy will affect its stability in water. The moment of inertia is a measure of an object’s resistance to changes in its rotational motion. The higher the moment of inertia, the more stable the object is. If the moment of inertia is too low, the object will be more prone to tipping over. These four factors all affect the stability of an object. The center of gravity affects the object’s balance, the reaction forces affect how the object interacts with other objects, the buoyancy affects how the object behaves in water, and the moment of inertia affects the object’s resistance to changes in its rotational motion. When these four factors are in balance, the object will be more stable.
What is the value of moment of inertia of ellipse about its centroidal axis?
If an ellipse has a radius A long the x-axis and B along the y-axis (A > B) then the moment of inertia about the x-axis is 0.25*pi*ab^3
Physical quantity coressponding to inertia is rotational motion?
The physical quantity for rotations corresponding to inertia is the moment of inertia, or rotational inertia. It is represented by the integral of r^2dm.
The product of an object's rotational inertia and its rotational velocity is?
The object's angular momentum
What does rotational inertia depend on?
Mass and radius
What is the property of an object that resists changes in rotational motion?
rotational inertiaMass moment if inertia.
What is the difference between rotational speed and torque?
Rotational speed is measure in terms of rotations per second (not necessarily per second, you could use other units of time, but let it be per second) whereas torque is measured in newtons, which are units of force. The amount of rotations per second that you get per newton of applied force depends upon the inertia (measured as "moment arm" for a rotating body) that the force has to overcome.
Can the mass of an object be considered as constucted at its centrer of mass for purpose of computing its rotational inertia?
No. For the rotational inertia, the distribution of masses is relevant. Mass further from the axis of rotation contributes more to the rotational inertial than mass that is closer to it.
Is the rotational inertia of your leg greater when your leg is bending or straight?
Stright
What is the rotational analog of mass in linear motion?
That is called moment of inertia.
Why moment of inertia is called rotational inertia?
That's what it's all about: about rotation. The "inertia" part is because it is comparable to the linear inertia: that's what makes it difficult to change an object's rotation.
What is rotational inertia?
Rotational inertia is sometimes called spin. It involves the movement of a mass around an axis. This moving mass will have some measure of kinetic energy that is due to the fact that it is spinning. The variables are the shape and the mass of the object, the way the mass is distributed within the object, the speed of its rotation, and the location of the axis of spin through the object. The moment of inertia might also be called angular mass, mass moment of inertia, rotational inertia, or polar moment of inertia of mass. Use the link below for more information.
What are the different types of inertia?
(1) The general concept of inertia, according to newton's first laws, concerning objects' masses when it comes to resistance. (2) Rotational inertia (3) Gyroscopic inertia
What are different types of inertia?
(1) The general concept of inertia, according to newton's first laws, concerning objects' masses when it comes to resistance. (2) Rotational inertia (3) Gyroscopic inertia
