Hence, following quantities are analogous to each other:
Mass, Moment of inertia
.
Force
, Torque. Linear momentum, Angular momentum.
mass
, moment of inertia.
Which of the following pairs of physical quantities are not analogous?
Hence, following quantities are analogous to each other:
Mass, Moment of inertia
.
Force
, Torque. Linear momentum, Angular momentum.
Which physical quantity in rotational motion is analogous of mass in translational motion * 1 point?
As mass determines the force required to produce the required linear momentum, moment of inertia determines the torque required to produce the required angular momentum in a rigid body. Hence, following quantities are analogous to each other: Mass,
Moment of inertia
.
Force
, Torque.
Which of the following physical quantity in rotational motion is analogous to mass in linear motion?
Moment of inertia
in rotational motion is an analogue of a physical quantity in linear motion.
What is analogous quantity of linear inertia?
As mass determines the force required to produce the required linear momentum, moment of inertia determines the torque required to produce the required angular momentum in a rigid body. Hence, following quantities are analogous to each other: Mass, Moment of inertia. …
Linear momentum
, Angular momentum.
What is the physical quantity of linear motion?
As we use
mass
, linear momentum, translational kinetic energy, and Newton’s 2nd law to describe linear motion, we can describe a general rotational motion using corresponding scalar/vector/tensor quantities. Angular and linear velocity have the following relationship: v=ω×r v = ω × r .
What are the two types of physical quantities?
Physical quantities are classified into two types. There
are fundamental and derived quantities
.
What is the formula of physical quantity?
The expression depicting the powers to which the fundamental units are to be raised to obtain one unit of a derived quantity is known as the dimensional formula. It is given as,
Q = M
a
L
b
T
c
, where, M, L, T are base dimensions with respective exponents a, b and, c. and Q is the physical quantity.
What are the examples of physical quantities?
- Mass.
- Length.
- Time.
- Electric current.
- Volume.
- Area.
- Density.
- Force.
What is displacement in circular motion?
Displacement of the object is
equal to the length of the shortest path between the final and the initial points
. … For example, if a body moves along a circle of radius r and covers half the circumference, then displacement is given by s=2r.
What is moment of inertia analogous to?
In calculating angular momentum for a rigid body, the moment of inertia is analogous to
mass in linear momentum
. …
Is moment of inertia a force?
The moment of inertia is
the rotational mass
and the torque is rotational force. … If no outside forces act on an object, an object in motion remains in motion and an object at rest remains at rest.
Is Omega equal to V R?
The greater the rotation angle in a given amount of time, the greater the angular velocity. The units for angular velocity are radians per second (rad/s). Angular velocity ω is analogous to linear velocity v. … We can write this relationship in two different ways:
v=rω or ω=v/r.
What are the equation of motion for a body in linear motion?
Newton’s second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration a of its centre of mass,
F = ma
, is the basic equation of motion in classical mechanics.
What is relation between linear and angular velocity?
For a body in a uniform circular motion, the relation between linear and angular velocity is:
v = rω
This equation states that the linear velocity (v) is directly proportional to the distance of the particle from the center of the circular path and its angular velocity.
