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If we are considering the semi circular wire of mass m to have a relatively small cross sectional radius, r compared to radius of the semi circular arc, R
And that we are considering the semi circular wire to lie in a xy plane. The mass moment of inertia taken about the z-axis (perpendicular to the plane) located at the cg position will be.
Izz=m*(R^2)*(PI-(4/PI))/PI
I did a check of this calculation with the way Catia calculated the same property. And the difference was found to be 0.03% When using the following geometry.
density=0.000001kgmm^3
Semi circular wire Radius R =60mm
cross sectional radius of wire = 1mm
results from Catia
V=592.176mm^3
m=0.000592176kg
Izz=1.268159kgmm^2
hand calculated results
V=592.176mm^3
m=0.000592176kg
Izz=1.267835kgmm^2
% difference [((1.268159)-(1.267835))/(1.267835)]*100=0.03%
Please carry out a check on the Izz calc. I determined it from 1st principles, so I may of made a mistake
What else can I help you with?
A steel wire of length l has a magnetic moment M It is then bent into a semi circular arc The new magnetic moment is?
The magnetic moment of the wire remains the same after it is bent into a semi-circular arc because the shape change does not affect the magnetic properties of the wire. The magnetic moment of an object is intrinsic and does not depend on its shape or orientation.
Moment of intertia of elliptical disk?
The moment of inertia of an elliptical disk is given by the formula: I = m(a^2 + b^2)/4, where m is the mass of the disk, a is the semi-major axis, and b is the semi-minor axis. This formula assumes that the disk is rotating around its axis perpendicular to its plane.
Why does a semi truck have more inertia?
Inertia is a measure of how resistant an object's motion is to changing that motion, and is related to the mass of an object. Increase mass and inertia increases; decrease mass and inertia decreases. For an object to have greater inertia, it must therefore have greater mass. Semi- trucks are very massive vehicles, much more than others normally found, so they will have more inertia than anything else driven on roads. An average car or light truck might have a mass of 1 to 2 tonnes; semis usually have many tens of tonnes mass.
What are the types of moment of force?
Don't know what the textbooks might tell you but I think this list of moments of inertia is rather comprehensive: rectangle circle cylinder hollow cylinder i beam triangle rod square disk area mass sphere hoop rotational t section ring shaft semi circle But these are moments of inertia. Not clear what you mean by moment of "force." Of course there is a force associated with moments of inertia. And that's the force F that is turning the object that has the inertia. In general that force is F = Ia where I is the moment of inertia and a is angular acceleration of the object.
Derive centre of mass of semi circular disc?
The center of mass of a semi-circular disc lies along the axis of symmetry of the disc, at a distance of 2R/π from the straight edge, where R is the radius of the disc. This can be derived using calculus and integrating the mass function over the semi-circle.
What is the value of moment of inertia of ellipse about x-Axis?
Moment of inertia about x-axis for an ellipse is = pi*b^3*a /4. Where b is the distance from the center of the ellipse to the outside tip of the minor axis. a is the distance from the ceneter of the ellipse to the outside tip of the major axis. Moment of inertia about x-axis for an ellipse is = pi*b^3*a /4. Where b is the distance from the center of the ellipse to the outside tip of the minor axis. a is the distance from the ceneter of the ellipse to the outside tip of the major axis.
What is the equation for inertia?
There are two laws about inertia. The First Law has no formula. It is just a statement that says "an object will continue at constant velocity ,or at rest, until a net force acts on it". This property that requires a force to change its state of motion (or rest) is called the object's "inertia". The Second Law is a formula that describes how an object will move when a net force acts on it. The formula is F = ma. Where, F, is the force and , a , is the objects acceleration. And , m , is the objects mass, which is a measure of the object's inertia. So you could write the formula as a = F/m and in this way you see if the object's mass (inertia) is increased then in order to get the same acceleration you must increase the force. These two laws describe how an object's inertia ,or mass, resists changes in its motion.
What semi circular canal do?
bbishan
What part of the circular region lies within a semi-circular region?
help me :'(
What do the semi-circular canals do?
They are the organ of balance.
What shape has exactly circular bases?
Half a torus - a donut cut into a semi-circular disc.
What part of the circular region lies within a semi-circular?
help Gia Katie hellp me!!
