angular velocity
TRANSCRIPT
ANGULAR VELOCITY24.3|P.153
WHAT IS ANGULAR VELOCITY?
ωSYMBOL:OMEGA ?
“The SPEED of rotation.”
UNIT: rad/s[Equation:]
∆ 𝑠∆ 𝑡(𝑟 )
∆θ∆𝑡
or
(Manipulated formula)
rpsrpm
-or-
-or-?
?
NEXT
Ω ωCAPITAL LETTER SMALL LETTER
OMEGA
BACK
∆θ∆𝑡
∆ 𝑠𝑟=ω=
∆𝑠𝑟∆𝑡
ω=
=∆ 𝑠𝑟×1∆ 𝑡
= ∆ 𝑠∆ 𝑡(𝑟 ) BACK
Angular Velocity(main formula)
Angular Displacement
Angular Velocity(manipulated formula)
REMEMBER!!
1 revolution = 2π rad 180
360
𝜋𝟐𝜋
BACKUnit Circle
ADDITIONAL INFORMATION
• SINCE ANGULAR VELOCITY IS:
𝑓 =1𝑡
∆θ∆𝑡
-or-∆θ1×1∆ 𝑡
Angular velocity is the measure of FREQUENCY (Number of cycles / unit time)
Radians or revolutions
ANGULAR ACCELERATION
24.4|P.154
WHAT IS ANGULAR ACCELERATION?
∝SYMBOL:ALPHA
“Change in ANGULAR VELOCITY
with time.”
UNIT: 𝑟𝑎𝑑 /𝑠2[Equation:]∆ω∆ 𝑡 or
BRIDGE EQUATIONS
𝑣=𝑟 𝜔 𝑎𝑡=𝛼𝑟Linear Motion---Rotational Motion
TangentialVelocity
TangentialAcceleration
ROTATIONAL KINEMATIC EQUATION
VS. LINEAR KINEMATIC EQUATION
24.5|PP.154-155
I. SYMBOLS
Linear Motion VS. Rotational MotionAcceleration
Displacement
Velocity
II. EQUATIONS
• LINEAR VELOCITY • ANGULAR VELOCITY
II. EQUATIONS
• LINEAR ACCELERATION • ANGULAR ACCELERATION
II. EQUATIONS
• FINAL LINEAR VELOCITY • FINAL ANGULAR VELOCITY
II. EQUATIONS
• LINEAR DISPLACEMENT • LINEAR ACCELERATION
ANSWER: 25.908 RAD
•Find the angular displacement of the body if the angular velocity is 10.2 rad/s with a time of 2.54 sec.
KNOWLEDGE
• 1. angular acceleration
• 2. angular velocity
• 3.
• 4.
• 5. frequency