circular motion + gravity

Question 1

how else can angles be expressed instead of degrees?

CM + G

Answer 1

angles can also be expressed in radians

Question 2

what is the equation for arc length?

CM + G

Answer 2

the equation for arc length is:

s = rθ

Question 3

how many radians are there in a complete circle?

CM + G

Answer 3

⋅ for a complete circle (360°), arc length (s) is just the circumference of the circle 2πr
⋅ dividing the circumference of a circle (2πr) by the radius (r) gives 2π
⋅ so there are 2π radians in a complete circle

Question 4

what is 45° in radians?

CM + G

Answer 4

45° is π/4 radians

Question 5

what is 90° in radians?

CM + G

Answer 5

90° is π/2 radians

Question 6

what is 180° in radians?

CM + G

Answer 6

180° is π radians

Question 7

how do you convert from degrees to radians and vice versa?

CM + G

Answer 7

Question 8

what is the angular velocity (ω)?

CM + G

Answer 8

angular velocity (ω) is the angle an object rotates through per second

Question 9

how do you work out linear velocity (v)? (simple)

CM + G

Answer 9

linear velocity = displacement/time

Question 10

how do you work out angular velocity (ω)? (simple)

CM + G

Answer 10

angular velocity (ω) = angle/time