Circular motion CGP page 98 to 99 Flashcards
That angle in radians is defined as
Arc length divided by the radius of the circle
For a complete circle (360° )the arc length is just the
Dividing by the radius gives 2pie
So there are… radians in a complete circle
Circumference of the circle 2Times pi times r
2pie
To convert from degrees to radiance multiplied bye
To convert from radiance to degrees
One radian equals
Pie divided by 180
180 divided by Pie
57°
What’s that Angular speed
The angular speed is the angle an object rotates through per second
Define angular speed
Give its unit
Angular speed is defined as The angle turned per unit time
Radians per second
Linear speed is sometimes called the
Tangential velocity
Circular motion has a frequency and
Period
The frequency in circular motion is the
Measured in
Number of complete revolutions per second
Rev s^-1 or hertz Hz
The period (T) in circular motion is the
Time taken for a complete revolution in seconds
Frequency and period are linked by the equation
F equals one over t
For a complete circle an object turns through 2pie radians in a time T , so frequency and period are related to. Angular speed bye
Angular speed equals 2 pie divided by T
Which also equals two pie F
Object is travelling in circles are… Since the velocity is
Accelerating
Changing
Even if the car is going at a constant speed its velocity is changing since it’s… Is changing
Direction
Since acceleration is defined as the… The car is accelerating even though it isn’t going any faster
This acceleration is called the… And is always directed towards the
Rate of change of velocity
Centripetal acceleration
Centre of the circle
Give the two formulas for centripetal acceleration
A equals V squared over r
A equals Angular speed squared times by r
