Notesale: Turn your study into money

Document Preview

Extracts from the notes are below, to see the PDF you'll receive please use the links above

---

Page |1

Motion in a circle
Radian measure & Angular displacement
Radians can be used instead of degrees to measure angles
...
Angular displacement is the angle through which an object moves through a circular
motion
...
It is accelerated motion, although speed is constant, velocity changes as direction
changes
...
Period is the time
taken for an object to travel a full circle
...
Linear velocity of an object is its instantaneous velocity at any point in its
circular path
...
Circular motion is a body moving in a
circle at a constant speed changes velocity as its direction changes
...
The direction of resultant force & acceleration
is directed towards the center
...
Newton’s second law of
motion is the resultant force acting on an object is equal to the rate of change of its
momentum
...

Centripetal acceleration is measured in meters per second square
...

● Centripetal acceleration= velocity square/radius of a circle
● Force= mass X acceleration
● Centripetal force= mass X (velocity square/radius of a circle)
● Orbital speed= root over(gravity X radius of a circle)
● Centripetal force= reaction at the bottom of the ride - weight
● Centripetal force= reaction at the top of the ride + weight
● Normal contact force vertically X cos = mass X gravity
● Normal contact force horizontally X sin = (mass X car’s speed square)/radius of
circular corner

Page |2

Definition
Radian- the angle subtended at the center of a circle by an arc equal in length to the radius
of the circle
Angular speed or Angular velocity- the angle swept out by the radian per unit time
Newton’s first law- an object will remain at rest or in a state of constant velocity in a straight
line unless it is acted by a resultant force
Circular motion- a body moving in a circle at a constant speed change as its direction
changes
Centripetal acceleration- acceleration is towards the center of the circle
Acceleration- rate of change of an object's velocity
Centripetal force- resultant force acting on an object moving in a circle, directed towards the
center of the circle
Resultant force- single force that has same effect as all of the forces acting on an object
Newton’s second law- resultant force acting on an object is equal to the rate of change of its
momentum
Momentum- product of the mass & velocity of an object

Formula
= angular velocity
= angle in radian
S= length of arc
= radius of circle

= complete circle’s angle in radian
= circumference of the circle

= linear velocity

= frequency
= time taken
= change in velocity
= velocity

Page |2

Rb
=Rt

= centripetal acceleration

Rb= reaction at the bottom of the ride
Rt= reaction at the top of the ride
= weight

= normal contact force
= car’s speed
= radius of circular corner

= force
= mass
= acceleration

= centripetal force

Force=Centripetal force

√
= orbital speed
= acceleration of free fall



---