Rotational Motion Flashcards
is defined as the tendency of an object at rest to remain at rest
and an object in motion to stay moving in a straight line at a constant velocity.
Inertia
also known as rotational inertia
Moment of Inertia
defined as the property of a rotating body to resist change in its state of rotation.
Moment of Inertia
SI unit for Moment of Inertia
kg ⋅m²
True or False:
Moment of inertia depends on the
distribution of the mass.
TRUE
True or False:
A mass which is at
greater distance from the axis of rotation has a
greater moment of inertia compared to the
same mass which is near the axis of rotation.
TRUE
gives a measurement of the resistance of the body
to a change in its rotational motion.
Moment of Inertia
The moment of inertia of a particle about an axis is obtained by multiplying the mass by the square of its distance from the axis.
I = mr², where m is mass, and r is the distance from the axis of rotation.
is the distance from an axis of rotation where the mass of a body may be assumed to be concentrated without altering the
moment of inertia of the body about that axis
Radius of gyration (𝑘)
The effectiveness of a force in rotating a body on which it acts is called
Torque 𝑟
can be determined by multiplying the force applied F by the perpendicular distance from the axis of rotation to the line
along which the force acts.
Torque
This perpendicular distance is called
Moment Arm or lever arm
Torque Formula
𝑟 = Frsin(theta)
If theta is = 90 can use the formula
𝑟 = 𝐹r
Torque Quantity
m⋅N or m⋅ (kg⋅m/s²)