1)
Rotational distance
WHERE :
S = Rotational distance
r = Radius
θ(rad) = Turning angle
NOTE: Here the angle is measured by radiant.
©Equatcy
2)
Angular velocity
WHERE :
ω = Angular velocity
t = Time
θ(rad) = Turning angle
NOTE: Angular velocity is the rate at which angular displacement changes.
©Equatcy
3)
Periodic period
WHERE :
ω = Angular velocity
T = Periodic period
NOTE: Periodic period is the period of time required for an object to travel one full round.
©Equatcy
4)
Frequency
WHERE :
f = Frequency
T = Periodic period
NOTE: Frequency is the number of rounds an object rotates in a second. The unit of frequency is Hz .
©Equatcy
5)
Relationship between frequency and angular velocity
ω = 2 π f
WHERE :
f = Frequency
ω = Angular velocity
NOTE: The relationship between frequency and angular velocity is used in many practical situations. This formula can also be used to determine the rpm value of a motor.
©Equatcy
6) Relationship between linear velocity and angular velocity
V = r ω
WHERE :
V = Linear velocity
ω = Angular velocity
r = Radius
NOTE: Any object engaged in a rotational motion has a linear velocity along the tangent to the motion.
©Equatcy
7)
Angular acceleration
WHERE :
ω- ω(0) = Angular velocity difference
t = Time
α = Angular acceleration
NOTE : Angular
velocity is the rate at which angular velocity changes.
©Equatcy
8)
Relationship between linear acceleration and angular acceleration
a = r α
WHERE :
a = linear acceleration
α = angular acceleration
r = Radius
NOTE: If an object in rotational motion rotates at angular acceleration, it has tangential acceleration in the direction of contact.
©Equatcy
9)
Equations related to rotational motion
WHERE :
ω = Last Angular velocity
ω(o) = First Angular velocity
θ = Angular displacement (
t = Time
α = Angular acceleration
NOTE : Motion equations are used in both linear motion and angular motion.
©Equatcy
10)
Uniform Angular Motion Equation
θ = ω t
WHERE :
θ = Angular displacement
ω = Angular velocity
t = Time
NOTE: This equation is used for uniform rotational motion.
©Equatcy
11)
Rotational inertia
WHERE :
I = Rotational inertia
m = Mass
r = Perpendicular distance from the axis of rotation
NOTE : In this case,
in order to find the moment of inertia of an object, it is necessary to find
the sum of the inertial averages produced by each of them separately.
©Equatcy
12)
Angular momentum
L = I ω
WHERE :
L = Angular momentum
ω = Angular velocity
I = Rotational inertia
NOTE: Angular momentum is the fullness of linear momentum.
©Equatcy
13)
Torque
ζ = I α
WHERE :
ζ = Torque
α = Angular Acceleration
I = Rotational inertia
NOTE: The ability to
rotate an object is Torque. Whenever there is an angular acceleration the
object must have a Torque.
©Equatcy
14)
Rotational work
W = ζ θ
WHERE :
ζ = Torque
θ = Angular displacement
W = Rotational work
NOTE: The problem is solved by combining angular motion with linear motion.
©Equatcy
15)
Rotational kinetic energy
WHERE :
E = Rotational kinetic energy
I = Rotational inertia
ω = Angular velocity
NOTE : The problem is solved by combining angular motion with linear motion.
©Equatcy
16)
Rotary power
P = ζ ω
WHERE :
ζ = Torque
ω = Angular velocity
P = Rotary power
NOTE: The problem is solved by combining angular motion with linear motion.
©Equatcy
17)
Center convergence acceleration
WHERE :
a’ = Center convergence acceleration
r = Radius
ω = Angular velocity
v = Tangential velocity
NOTE : The
acceleration created by the change in velocity of a rotational motion is the
Center convergence acceleration.
©Equatcy
18)
Center convergence force
F = m V ω
WHERE :
F = Center convergence force
ω = Angular velocity
V = Tangential velocity
m = Mass (
NOTE: The center convergence acceleration is substituted for the acceleration of the equation F = m a.
©Equatcy