Circular Motion Flashcards

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1
Q

What is frequency in circular motion?

A

The number of rotations per second.

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2
Q

What is the time period in circular motion?

A

The time taken to complete one rotation.

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3
Q

What is the equation relating frequency and time period?

A

F=1/T

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4
Q

What is the angular speed?

A

The angle covered per second.

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5
Q

What equation links speed and time period?

A

V=2(pi)f/T

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6
Q

What equation links speed and frequency?

A

V=2(pi)rf

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7
Q

How do you convert from degrees to radians?

A

Radians = degrees x (pi)/180

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8
Q

How do you convert from radians to degrees?

A

Degrees = radians x 180/(pi)

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9
Q

What is the equation to find angular speed?

A

(Theta)/(time)

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10
Q

What equation links angular speed and frequency (radians)?

A

(Omega) = 2(pi)f

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11
Q

What equation links angular speed and time period (radians)?

A

(Omega) = 2(pi)/T

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12
Q

How do you find arc length?

A

L=r x (theta)

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13
Q

What is always true for velocity in circular motion?

A

Velocity is tangential to the circle.

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14
Q

What is acceleration?

A

The rate of change of velocity.

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15
Q

Where does the acceleration act? What is this called?

A

Towards the centre. Centripetal acceleration.

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16
Q

How does the increase of speed effect the centripetal acceleration?

A

Increases the centripetal acceleration.

17
Q

How does the increased distance of the radius affect centripetal acceleration?

A

Decreases the centripetal acceleration.

18
Q

What formula links speed and centripetal acceleration?

A

a=v^2/r

19
Q

What formula links angular speed and centripetal acceleration?

A

a=(omega)^2 x r

20
Q

What is a centripetal acceleration caused by?

A

A resultant force (centripetal force).

21
Q

How does an increase in speed affect the magnitude of centripetal force?

A

Increased speed means increase acceleration means increased force.

22
Q

How does an increased radius affect the magnitude of centripetal force?

A

Increase radius means decreased acceleration means decreased force.

23
Q

How does an increase of mass affect the magnitude of centripetal force?

A

Increased mass means increased force.

24
Q

What formula links mass, velocity, radius and centripetal force?

A

F=mv^2/r

25
Q

What formula links mass, angular speed, radius and centripetal force?

A

F=m(omega)^2/r

26
Q

What is the formula for centripetal force when going over a bridge?

A

F=mg-N

27
Q

What is the formula for centripetal force when at the top of a ferris wheel?

A

F=mg-N(top)

28
Q

How are Normal Reaction Force and mg related at the top of a ferris wheel?

A

N(top) < mg

29
Q

What is the formula for centripetal force at the bottom of a ferris wheel?

A

F=N(bottom)-mg

30
Q

How is the Normal Reaction Force and mg related at the bottom of the ferris wheel?

A

N>mg

31
Q

What is the formula for the centripetal force when a car is at the top of a loop the loop?

A

The car will be upside down, so: N(top) + mg = F

32
Q

What is the formula for centripetal force at the bottom of a loop the loop?

A

F = N(bottom) - mg

33
Q

When is the reaction force the greatest?

A

Bottom

34
Q

When is the reaction force the least?

A

Top

35
Q

What happens to the normal reaction force when the car loses contact at the top of a bridge?

A

N=0

36
Q

What formula is used to find the speed at which the car loses contact with the bridge?

A

v=(square root) g x r

37
Q

What happens at the top of a loop?

A

The object briefly loses contact, N=0

38
Q

What formula is used to find the minimum speed a car needs to be travelling to stay in contact?

A

v = (square root) g x r