Explanation: Inertia varies with mass
of the body bacause inertis is directly proportional with mass
. Hence, if mass will increase then the inertia will also increase.
How does mass affect moment of inertia?
Mass is that quantity that is solely dependent upon the inertia of an object. The more inertia that an object has,
the more mass that it has
. A more massive object has a greater tendency to resist changes in its state of motion.
Does moment of inertia increase with mass?
The moment of inertia depends not only on the object’s mass, but also the distribution of that mass in relation to the axis of rotation. … This means that the moment of
inertia is higher for objects
where the mass is distributed a long way away from the axis of rotation.
What is moment of inertia of a body?
Moment of inertia, in physics,
quantitative measure of the rotational inertia of a body
—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force).
How does inertia depend on mass of the body Class 9?
The body of larger mass that will have less acceleration than the other body
. That is how mass provides nature to resist the change in its state i.e. the inertia of the body. For example, it is very difficult to move a heavy boulder (large mass) because its mass is very large and thus the inertia is more.
What happens if moment of inertia increases?
Moment of inertia is a calculation of the required force to rotate an object. … By
increasing the radius from the axis of rotation
, the moment of inertia increases thus slowing down the speed of rotation.
Is a higher moment of inertia better?
Higher moments of inertia indicate that more force has to be applied in order to cause a rotation whereas lower moments of inertia means that only low forces are necessary.
Masses that are further away form the axis of rotation
have the greatest moment of inertia.
Does radius affect inertia?
Moment of inertia is directly proportional to the square of the radius
.
Is angular momentum always conserved?
In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of linear momentum. It is an important quantity in physics because it is
a conserved quantity
—the total angular momentum of a closed system remains constant.
What is the formula for calculating moment of inertia?
The formula for moment of inertia is the “sum of the product of mass” of each particle with the “square of its distance from the axis of the rotation”. The formula of Moment of Inertia is expressed as
I = Σ m
i
r
i
2
.
Which has more inertia?
Inertia is the measure of the mass of the body. The greater is the mass of the body; the greater is its inertia and vice-versa. (a) The
mass of a stone
is more than the mass of a rubber ball for the same size. Hence, the inertia of the stone is greater than that of a rubber ball.
How do I calculate inertia?
Translational Inertia = ma, where “m” is the mass, and “a” is the acceleration of the object. Calculate the rotational inertia or the moment of inertia by
multiplying the mass of the object with square of the distance between the object and the axis, the radius of rotation
.
How does inertia depend on mass?
The inertia of an object is a measure of its resistance to a change in the state of its motion. It is solely dependent on
the mass of the object
, with more massive objects having larger inertia and a greater tendency to resist changes to their motion.
On what factor inertia of body depends?
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.
Which has the greatest inertia answer?
Inertia is a definition of mass so
an object with greater mass
will have greater inertia. The mass of the engines of the airplane on their own probably have more inertia than the car. Mass is usually measured by determining the weight of the object, which is defined as the gravitational force pulling down on it.
