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In general: v = r \omega
where \omega is the angular speed in rad \, s^{-1} ,
r is the radius of the circle in metres,
v is the velocity in ms^{-1} .
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Glossary

angular speed

the rate at which the angle changes in circular motion

circle

a conic curve with equation (x-a)²+(y-b)²=r²

speed

velocity without direction; a scalar quantity

union

The union of two sets A and B is the set containing all the elements of A and B.

velocity

the rate of change of displacement. It is a vector quantity with magnitude and direction.

Full Glossary List

This question appears in the following syllabi:

SyllabusModuleSectionTopic
AQA A-Level (UK - Pre-2017)M2Motion in a circleAngular speed
AQA AS Further Maths 2017MechanicsCircular MotionAngular Speed
AQA AS/A2 Further Maths 2017MechanicsCircular MotionAngular Speed
CCEA A-Level (NI)M2Motion in a circleAngular speed
CIE A-Level (UK)M2Motion in a circleAngular speed
Edexcel A-Level (UK - Pre-2017)M3Motion in a circleAngular speed
Edexcel AS Further Maths 2017Further Mechanics 2Motion in a CircleAngular Speed
Edexcel AS/A2 Further Maths 2017Further Mechanics 2Motion in a CircleAngular Speed
OCR A-Level (UK - Pre-2017)M2Motion in a circleAngular speed
OCR AS Further Maths 2017MechanicsMotion in a CircleAngular Speed
OCR MEI A2 Further Maths 2017Mechanics BCircular MotionAngular Speed
OCR-MEI A-Level (UK - Pre-2017)M3Motion in a circleAngular speed
Universal (all site questions)MMotion in a circleAngular speed