Circular Measure Flashcards
Angular displacement
The change in angle in radians of a body as it rotates around a circle
Angular displacement formula
^s/r
Radian
The angle subtended at the centre of a circle by an arc in equal length to the radius of the circle
From degree to radian
Degree × pi/180 =radian
Angular speed
The rate of change in angular displacement with respect to time
Equations of angular speed
w=2pi/T or 2pif
What causes centripetal acceleration
Since uniform circular motion is continuously changing direction therfore constantly changing velocity it must be accelerating
Centripetal acceleration is perpendicular to the direction of linear speed
Where does centripetal force act
Perpendicular to linear speed
Centripetal acceleration
The acceleration of an object towards the centre of a circle when an object is in motion around a circle at a constant speed
Centripetal acceleration formulas
a=v²/r a=w²r a=vw
V=rw
Centripetal force
The resultant force acting towards the centre of a circle required to keep a body in uniform circular motion it is always towards the centre of the bodys rotation
Centripetal force equation
F=mv²r
=mw²r
=mvw