Circular Motion

Question 1

Derive centripetal acceleration in Circular motion.

Answer 1

s/r = ∆V/v (s=v∆t)
v∆t/r = ∆V/v
v/r² = ∆V/∆t
a = v² /r

Question 2

How do you convert degrees to radians?

Answer 2

Multiply by 2π/360

Question 3

How do you convert radians to degrees?

Answer 3

Multiply by 360/2π

Question 4

What is angular velocity?

Answer 4

The angle that an object rotates through per second

Question 5

What is the equation for angular velocity?

Answer 5

Angular velocity = angular displacement/ time
ω (rads) = θ (°)/t (s)

Question 6

What is the equation for linear speed?

Answer 6

V = ωr

Question 7

Derive T, time period for a complete revolution in seconds.

Answer 7

ω = 2πf
f = ω/2π (f = 1/T)
1/T = ω/2π
T = 2π/ω

Question 8

What is Centripetal force?

Answer 8

A force acting towards the centre of a circle

Question 9

Using F = ma, what two equations can you use to find the resultant force?

Answer 9

F = Mv² /r and F = Mrω²

Question 10

If a car is going around a rollercoaster loop, where is the largest reaction force?

Answer 10

At the bottom as there is both Tension + Weight pulling the car down.