Motions in a circle 1 and 2 Flashcards

1
Q

How to convert from radian to degree?

A

X / (2n/360)

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2
Q

How to convert from degree to radians?

A

X x (2n/360)

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3
Q

How to convert from resolution to radian?

A

1 resolution=2n rad

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4
Q

How to convert from resolution to degree

A

1 resolution=360 degrees

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5
Q

Formula for arc length?

A

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

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6
Q

What is linear velocity?

A

Change of displacement against the change of time

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7
Q

Formula for linear velocity

A

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

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8
Q

What is angular velocity?

A

Angular displacement against the change of time

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9
Q

What is the formula of angular velocity

A

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

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10
Q

What is the relation between linear and angular velocity

A

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

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11
Q

How to represent angular velocity?

A

Show a curved arrow on the same plane as the circle

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12
Q

What is angular velocity?

A

Change of angular displacement against the change of time

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13
Q

What is the formula of linear acceleration?

A

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

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14
Q

What is linear acceleration?

A

Change of velocity against the change of time

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15
Q

What is angular acceleration?

A

Change of angular velocity against the change of time

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16
Q

Formula for angular acceleration

A

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

17
Q

What is the relation between linear and angular acceleration?

A

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

18
Q

How to convert from rad/s to rpm?

A

Divide by 2n/60

19
Q

How to convert from rpm to rad/s ?

A

Multiply by 2n/60

20
Q

How to convert from Hz to rpm?

A

Multiply by 60

21
Q

How to convert from rpm to Hz

A

Divide by 60

22
Q

How to convert from Hz to rad/s

A

Multiply by 2n

23
Q

How to convert from rad/s to Hz

A

Divide by 2n

24
Q

Rewatch the lecture and do linear and angular quantites flashcard

25
What are the linear kinematics equations?
SUVAT v = u + at s=1/2 x ( u + v ) x t s = ut + 1/2at(^2 ) v^2 = u^2 + 2as
26
What are the rotation kinematic equations?
ω1 = ω0 + αt θ = ½(ω0 + ω1)t θ = ω0t + ½αt2 ω1^2 = ω0^2 + 2αθ
27
What is centripetal acceleration?
Centripetal acceleration is the acceleration directed towards the center of a circular path, keeping an object moving in a curved trajectory.
28
Formula for centripetal acceleration?
ac=(V^2)/R or ac=ω^2xR ac = Centripetal acceleration V^2=Velocity R=Radius ω^2= Angular velocity
29
What is centripetal force?
Net force keeping an object on a circular path
30
Formula for centripetal force?
Fc = m x ac or Fc = (m x v^2)/R Fc= Centripetal force m= mass ac= Centripetal acceleration v=Velocity R=Radius
31
What is rolling?
Rolling is the combination of rotation and linear motion of a rigid body on a surface
32
What is the difference when a wheel moves in a straight line only and when a wheel rotates only?
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.
33
How to calculate resultant velocity at a location of a wheel?
Adding the vector sum of linear and rotation motion
34
Describe the process of finding out displacement of a rolling object per 1 revolution?
As the object rolls it will travel its circumference which is equal to 2nr therefore displacement=2nr