angular velocity

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