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Mechanics
Topic 2.4 Uniform Circular Motion
Circular Motion
A body moving with uniform speed in a
circle is changing velocity as the
direction changes.
This change of velocity, and the
acceleration is directed towards the
centre of the circle
This acceleration is called the
centripetal acceleration
Vector Diagrams
uniform speed
velocity at a tangent
Acceleration and
force directed
towards the centre
Centripetal Acceleration
The expression for centripetal
acceleration is
a = v2
= 42
r
r T2
 Where v is the velocity at any instant
(i.e.the constant speed)
 And r is the radius of the circle
 T is the time period of one complete circle
Centripetal Force
The expression for centripetal force is
F = mv2
r
 Where v is the velocity at any instant
(i.e.the constant speed)
 m is the mass of the object
 And r is the radius of the circle
Examples of Centripetal Force include
 the gravitational force keeping the moon in
its orbit
 the friction acting sideways on the tyres of
a car turning a corner
 the tension in a rope, when a bucket of
water is swung around your head
Examples of Centripetal Force include
 the gravitational force keeping the moon in
its orbit
 the friction acting sideways on the tyres of
a car turning a corner
 the tension in a rope, when a bucket of
water is swung around your head
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Topic 2.4

  • 1. Mechanics Topic 2.4 Uniform Circular Motion
  • 2. Circular Motion A body moving with uniform speed in a circle is changing velocity as the direction changes. This change of velocity, and the acceleration is directed towards the centre of the circle This acceleration is called the centripetal acceleration
  • 3. Vector Diagrams uniform speed velocity at a tangent Acceleration and force directed towards the centre
  • 4. Centripetal Acceleration The expression for centripetal acceleration is a = v2 = 42 r r T2 Where v is the velocity at any instant (i.e.the constant speed) And r is the radius of the circle T is the time period of one complete circle
  • 5. Centripetal Force The expression for centripetal force is F = mv2 r Where v is the velocity at any instant (i.e.the constant speed) m is the mass of the object And r is the radius of the circle
  • 6. Examples of Centripetal Force include the gravitational force keeping the moon in its orbit the friction acting sideways on the tyres of a car turning a corner the tension in a rope, when a bucket of water is swung around your head
  • 7. Examples of Centripetal Force include the gravitational force keeping the moon in its orbit the friction acting sideways on the tyres of a car turning a corner the tension in a rope, when a bucket of water is swung around your head