Rotational Motion Flashcards
(37 cards)
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)
True or False:
By convention, torque
is positive if it tends to produce counterclockwise rotation. It is negative if it tends
to produce clockwise rotation.
TRUE
The greater the torque applied to an object, the greater its tendency to rotate
TRUE
refers to the motion of a body turning about an axis, where each
particle of the body moves along a circular path.
Rotation
The angular position is represented by
Theta
The units for angular displacement may be
Degree, Radians, Revolution
(1 revolution = 360° = 6.28 radians = 2 π radians)
is the rate at which angular displacement changes
with time.
Angular Velocity (ω)
may be expressed in deg/s, rad/s, or rev/s
is the time rate of change of angular velocity.
Angular Acceleration � (Alpha)
maybe expressed in deg/s2, rad/s2, or rev/s2
is concerned with the calculation of forces acting on and within
structures that are in equilibrium.
Statics
is defined as a body at rest having zero acceleration and zero net force.
Static Equilibrium