Contents
What factors affect the rotation of objects?
Product Design and Rotational Inertia
- Torque – a perpendicular force acting at a distance from the axis of rotation that causes an object to rotate.
- Angular Velocity – the rate at which an object’s rotational position changes with respect to time.
- Disciplinary Core Ideas and Performance Expectation.
What two factors affect rotational inertia?
The moment of inertia of a body is directly proportional to its mass and the distance of the particles of the body from the axis of rotation. Hence, the moment of inertia depends on mass and distance from the rotating axis, and force and density do not affect the moment of inertia of a body.
How does Newton’s second law apply to rotation?
Summary. Newton’s second law for rotation, ∑iτi=Iα ∑ i τ i = I α , says that the sum of the torques on a rotating system about a fixed axis equals the product of the moment of inertia and the angular acceleration. This is the rotational analog to Newton’s second law of linear motion.
What does rotational inertia depend on?
inertia (I) of the object. • The rotational inertia (I) depends on the mass of the. object, its shape, and on how. the mass is distributed.
How does rotation increase stability?
A symmetric body with no torques applied with even a slight bit of internal damping (as all real object have) will eventually rotate about its principal axis with the lowest moment of inertia. The faster the spin (= higher angular momentum), the more effort it takes to alter the axis of the spin (= greater stability).
How does rotation affect shape?
The most significant deviation from the standard value of g is a result of Earth’s rotation. As Earth spins, its shape is slightly flattened into an ellipsoid, so that there is a greater distance between the centre of Earth and the surface at the equator, than the centre of Earth and the surface at the poles.
What are the factors that affect inertia?
Inertia depends on density and mass. Inertia is directly proportional to mass and density of an object. More the mass of an object, more is the inertia of the body.
What factors affect an object’s moment of inertia?
Factors that affect the moment of inertia
- The density of the material.
- Shape and size of the body.
- Axis of rotation (distribution of mass relative to the axis)
What’s the second law in rotation?
Newton’s Second Law for rotation: The resulting angular acceleration (α) of an object is directly proportional to the net torque (τ) on that object.
Why does Newton’s second law work?
Newton’s second law says that when a constant force acts on a massive body, it causes it to accelerate, i.e., to change its velocity, at a constant rate. In the simplest case, a force applied to an object at rest causes it to accelerate in the direction of the force.
Does inertia depend on speed?
How much net force is required to keep the object moving at this speed and in this direction? An object in motion will maintain its state of motion. The presence of an unbalanced force changes the velocity of the object. Tosh argues that inertia does not depend upon speed, but rather upon mass.
Is angular momentum always conserved?
Just as linear momentum is conserved when there is no net external forces, angular momentum is constant or conserved when the net torque is zero.
What does it mean to rotate by angle φ1?
Rotation by an angle φ about the axis Oz = Ox3. You should check that Rˆ. 3(φ1)Rˆ3(φ2) = Rˆ3(φ1 + φ2) – meaning that if I rotate first by angle φ2. followed by a rotation by angle φ1 (about the same axis!) it’s as if I did a single rotation by angle φ1 +φ2.
Are there any other rotations in factor analysis?
This is very helpful for simple understanding. There are other rotation as well, e.g., varimax, direct oblimin, quartimax, equamax, promax, etc. If these rotation can be explained simply as above then that will be very helpful. Very informative and nicely explained.
How are factors 1 and 2 related to each other?
But it makes sense to assume that a person with a high “Individual socioeconomic status” (Factor 1) lives also in an area that has a high “Neighborhood socioeconomic status” (Factor 2). That means the factors should be correlated. Consequently, the two axes of the two factors are probably closer together than an orthogonal rotation can make them.
Why are oblique rotations used in factor analysis?
In this way, in conveying results to most organizations (not made up of scientists or statisticians) oblique or non-orthogonal rotations are of limited usefulness. Those who need to use the findings simply do not understand these. The main value of rotation I have found is to distribute the loadings of items more clearly into the factors.