Kinematic Relationships Flashcards

1
Q

How to go from displacement to velocity

A

Differentiate

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2
Q

How to go from velocity to acceleration

A

Differentiation

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3
Q

How to go from acceleration too velocity

A

Integrate

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4
Q

How to go from velocity to displacement

A

Integrate

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5
Q

Degrees to radians

A

Degree x TT /180

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6
Q

raidan to degrees

A

Radians x 180 /TT

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7
Q

What is angular displacement

A

Is the angle through whixh the line has swept in time

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8
Q

What is linear velocity

A

It is the rate of change of linear displacement in times

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9
Q

Angler velocity Is equal to what

A

To the rate of change of angular displacement in time

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10
Q

Revolution to radians

A

Revolution per min × 2TT/60

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11
Q

Radians to revolution

A

Radians per second ×60 /2TT

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12
Q

What Is the period is relation to angular velocity

A

It is the time taken for one complete rotation

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13
Q

What is angular displacement measured in

A

Rads

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14
Q

What is displacement measured in

A

Meters

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15
Q

W

A

Angular velocity
Rads-1

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16
Q

What I’d angular acceleration

A

It is the rate of change of angular velocity

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17
Q

What us angular acceleration measured in

A

Rads-2

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18
Q

What is tangentially velocity

A

It is the linear velocity at any point for an object in circular motion

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19
Q

The tangential velocity is always what yo the radius

A

Perpendicular

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20
Q

At the tangential velocity proportional

A

When the radius are the same

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21
Q

What is the tangential acceleration

A

It is the rate at which rhe tangential speed of the object is changing

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22
Q

What is tangential acceleration measures in

A

ms-2

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23
Q

The tangential acceleration is always perpendicular to what

A

The radius of the circle

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24
Q

What type of speed does a stallite have have

A

Constant tangential speed

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25
Q

How can you have a steady velocity but acceleration at the same time

A

By changing direction. This creates a unbalanced force showing that they muct be an acceleration due to Newton 2nd law

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26
Q

What direction is the centripetal acceleration

A

Towards the centre of the circle as a result of the centripetal force

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27
Q

What is the centripetal force

A

It is the resultant force which must act on a body to make it move in a circular path

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28
Q

If an object is moving in a circular path and the centripetal force is removed then what would happen

A

The object will more in a straight line at a tangent to the circle at the same speed

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29
Q

What is the angular acceleration measured in

A

Rads-2

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30
Q

What is the angular acceleration measured in

A

Rads-2

31
Q

What is tangential acceleration measured in

A

Ms-2

32
Q

Is their is a centripetal force what else is thier ?

A

Centripetal acceleration

33
Q

Why are centripetal force and acceleration linked

A

Cause their us always a chnage in direction

34
Q

What are the forces when an object is moving in a circular horizontal motion and what is the centripetal force in this scenario

A

The only force acting in the horizontal direction is the tension in the string. So the tension is thr centripetal force

35
Q

What are the forces when an object is moving in a circular horizontal motion and what is the centripetal force in this scenario

A

The only force acting in the horizontal direction is the tension in the string. So the tension is thr centripetal force

36
Q

What would be the formula for the horizontal motion in a circular path

A

Tension =mrw²

37
Q

What is acting towards the centre of the circle on the horizontal motion

A

Acceleration and tension

38
Q

When an object is acting in the vertical motion what si the centripetal force at the top

A

Tension + weight

39
Q

If the tension is 0 at the top of the vertical motion what is thr formula

A

W= mv²/r goes to mg=mv²/ which changes to v=Square root of gr

40
Q

If the tension is 0 at the top of the vertical motion what is thr formula

A

W= mv²/r goes to mg=mv²/ which

41
Q

How to work out the minimum velocity when something is rotating in a vertical motion

A

V Square root of gr

42
Q

When will the string going in a circular vertical motion will feel the most tension

A

At the bottom

43
Q

When a object is going on a vertical circular motion what are the centripetal forces at the bottom

A

Tension - weight

44
Q

What will be thr formalua for the vertical circular motion at the bottom

A

T - W = mv²/r

45
Q

When an object is going in a circular vertical motion what are the main centripetal forces at the side

A

Tension only

46
Q

What would be the formula for the centripetal force at the side of the circular vertical motion

A

T=mv²/r

47
Q

When an object is going in a vertical circular motion what happens when the speed decreases

A

The centripetal forces is dependent on the tension which reduces to zero as the speer decreases. At thus point thr weight is much greater than the centripetal force required for circular motion.

48
Q

When can a car go around a corner on a banked trank

A

When their is no friction

49
Q

On a banked track when acts as the centripetal force

A

Horizontal component.

50
Q

What is the formula for maximum velocity of horizontal banked tracks

A

Rsin0=F

51
Q

The total maximum speed on a banked track

A

V = square root of rgtan0

52
Q

What is the reaction force for the vertical component on a banked track

A

Weight

53
Q

Whata the formula of the vertical velocity on a banked track

A

mg = rcos0

54
Q

What is the centripetal force when a car is going around the corner

A

The frictional force

55
Q

What is escape velocity

A

The minimum velocity required to allow a mass ro escape a gravitational field to infinity, where the mass archives zero knetic engery and maximum potential enegery

56
Q

What is the derivative of escape velocity

A

Knetic engery formula + the adv potential engery formula
Cancel and simplify
Make it equal to v

57
Q

Units for torque

A

Nm

58
Q

What angle us the torque formula applied on

A

At right angles

59
Q

What is torque

A

It is the turning effect

60
Q

What is the formula for torque when it applied at an angle

A

T= Frsin0

61
Q

What two things can increase the torque

A

Apply a greater perpendicular force
Apply force from a longer radius

62
Q

What is the moment of inertia

A

It is a body tendency to resist acceleration about a given axis

63
Q

What will an unbalanced torque produce

A

An angular acceleration about the axis of rotation

64
Q

What does the moment of inertia depend on

A

The mqss on the object itself and the distribution of mass about the axis of rotation

65
Q

What is the moment of inertia measured in

A

Kgm2

66
Q

Cm-m

A

÷100

67
Q

Definition of angular momentum

A

The angular moment before is equal to the angular momentum after in the absence of external torque

68
Q

What is angular momentum measured in

A

Kg m² s-¹

69
Q

If the moment of inertia increases what happens to the angular velocity in orf3r to the angular momentum constant

A

Must decrease

70
Q

What are in forces on their conical pendulum

A

Weight acting down
Tension kn the string

71
Q

Explain why the moment of inertia is less when someone is in a ball rather than straight

A

Mass is now distributed closer to the axis of rotation.

72
Q

High moment of inertia

A

Means high distribution of mass

73
Q

Low moment of inertia

A

Means low disruption of mass

74
Q

What is centrifugal force

A

This is an imaginary force which you feel act on you when you accelerate round a corner. This force acts in the opposite direction to centripetal force meaning to act away from the centre of the circle.