Further Mechanics - angular displacement

Question 1

How to find an angle in radians when you have the radius and arc length?

Answer 1

Angle (rads) = arc / radius

Question 2

How to convert radians into degrees?

Answer 2

(rad x 180) / pi

Question 3

How to convert degrees into radians?

Answer 3

(degrees x pi) / 180

Question 4

Angular displacement uses which equation?

Answer 4

Angle (rads/degrees) = arc / radius

Question 5

Angular velocity is …

Answer 5

… the rate of change of angle.

Question 6

Angular velocity =

Answer 6

= angular displacement / time

Question 7

Time period is …

Answer 7

… the time for ONE REVOLUTION.

Question 8

Time period =

Answer 8

= 2pi (angular displacement in one revolution) / angular velocity

Question 9

The time period equation can be compared to which equation?

Answer 9

speed = distance / time

as

angular velocity = angular displacement (which is 2pi for one rev) / time taken

Question 10

When an object or body moves in a circular motion, what is happening to the variables of v, r, a, and ang. vel. ?

Answer 10

v - changing constantly (due to direction changing)
r - radius remains constant
a - always accelerating towards the centre of circle
ang. vel. - remains constant