Motions in a circle 1 and 2

Question 1

How to convert from radian to degree?

Answer 1

X / (2n/360)

Question 2

How to convert from degree to radians?

Answer 2

X x (2n/360)

Question 3

How to convert from resolution to radian?

Answer 3

1 resolution=2n rad

Question 4

How to convert from resolution to degree

Answer 4

1 resolution=360 degrees

Question 5

Formula for arc length?

Answer 5

s = θr
s= Arc Length
θ= Angle in Radians
r= Radius

Question 6

What is linear velocity?

Answer 6

Change of displacement against the change of time

Question 7

Formula for linear velocity

Answer 7

v = ∆s/∆t
v=Velocity (m/s)
∆s=Change in displacement (m)
∆t=Change in time (s)

Question 8

What is angular velocity?

Answer 8

Angular displacement against the change of time

Question 9

What is the formula of angular velocity

Answer 9

ω = ∆θ/∆t
ω = Velocity (rad/s) (Pronounced omega)
∆θ=Change in Angle (rad or degrees)
∆t=Change in time (s)

Question 10

What is the relation between linear and angular velocity

Answer 10

v = ωr.
v=Velocity
ω=Angular velocity (rad/s)
r=Radius (cm/m)

Question 11

How to represent angular velocity?

Answer 11

Show a curved arrow on the same plane as the circle

Question 12

What is angular velocity?

Answer 12

Change of angular displacement against the change of time

Question 13

What is the formula of linear acceleration?

Answer 13

a = ∆v/∆t
a=Acceleration (m/s^2)
∆v=Change in Velocity (m/s)
∆t=Change in Time (s)

Question 14

What is linear acceleration?

Answer 14

Change of velocity against the change of time

Question 15

What is angular acceleration?

Answer 15

Change of angular velocity against the change of time

Question 16

Formula for angular acceleration

Answer 16

α = ∆ω/∆t
α = Acceleration (rad/s^2)
∆ω=Change in angular velocity (rad/s)
∆t= Change in time (s)

Question 17

What is the relation between linear and angular acceleration?

Answer 17

a = αr
a= acceleration (m/s^2)
α=Angular acceleration (rad/s^2)
r= Radius (cm/m)

Question 18

How to convert from rad/s to rpm?

Answer 18

Divide by 2n/60

Question 19

How to convert from rpm to rad/s ?

Answer 19

Multiply by 2n/60

Question 20

How to convert from Hz to rpm?

Answer 20

Multiply by 60

Question 21

How to convert from rpm to Hz

Answer 21

Divide by 60

Question 22

How to convert from Hz to rad/s

Answer 22

Multiply by 2n

Question 23

How to convert from rad/s to Hz

Answer 23

Divide by 2n

Question 24

Rewatch the lecture and do linear and angular quantites flashcard

Answer 24

Please

Question 25

What are the linear kinematics equations?

Answer 25

SUVAT
v = u + at
s=1/2 x ( u + v ) x t
s = ut + 1/2at(^2 )
v^2 = u^2 + 2as

Question 26

What are the rotation kinematic equations?

Answer 26

ω1 = ω0 + αt
θ = ½(ω0 + ω1)t
θ = ω0t + ½αt2
ω1^2 = ω0^2 + 2αθ

Question 27

What is centripetal acceleration?

Answer 27

Centripetal acceleration is the acceleration directed towards the center of a circular path, keeping an object moving in a curved trajectory.

Question 28

Formula for centripetal acceleration?

Answer 28

ac=(V^2)/R or ac=ω^2xR
ac = Centripetal acceleration
V^2=Velocity
R=Radius
ω^2= Angular velocity

Question 29

What is centripetal force?

Answer 29

Net force keeping an object on a circular path

Question 30

Formula for centripetal force?

Answer 30

Fc = m x ac or Fc = (m x v^2)/R
Fc= Centripetal force
m= mass
ac= Centripetal acceleration
v=Velocity
R=Radius

Question 31

What is rolling?

Answer 31

Rolling is the combination of rotation and linear motion of a rigid body on a surface

Question 32

What is the difference when a wheel moves in a straight line only and when a wheel rotates only?

Answer 32

The linear velocity as it moves in a straight line only is the same all around however if it is only rotating different locations have different linear velocities.

Question 33

How to calculate resultant velocity at a location of a wheel?

Answer 33

Adding the vector sum of linear and rotation motion

Question 34

Describe the process of finding out displacement of a rolling object per 1 revolution?

Answer 34

As the object rolls it will travel its circumference which is equal to 2nr therefore displacement=2nr