Rotational Motion Flashcards

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1
Q

How do you get from displacement -> velocity -> acceleration?

A

Differentiate

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2
Q

How do you get from acceleration -> velocity -> displacement?

A

Integrate

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3
Q

What is the formula for arc length?

A

s = r Ø

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4
Q

What is the angular equivalent of displacement (s)?

A

Ø (rad)

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5
Q

What is the angular equivalent of v (ms-1)?

A

ω (rads-1)

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6
Q

What is the angular equivalent of a (ms-2)?

A

α (rads-2)

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7
Q

What is the time period, T, when considering angular motion?

A

The time for one revolution

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8
Q

What is the frequency, F, when considering angular motion?

A

Revolutions per second

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9
Q

What does V stand for when an object is rotating?

A

The linear tangential velocity

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10
Q

What is the centripetal acceleration?

A

Acceleration towards the centre of rotation

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11
Q

How would you work out the tension in a rope of an object travelling in a circle?

A

Calculate the centripetal force as the tension in the rope provides the centripetal force

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12
Q

What provides the centripetal force when a car takes a corner?

A

The frictional force

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13
Q

How do you calculate the max friction when an object is taking a corner?

A

Calculate the centripetal force with V and omega being the max speed

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14
Q

What does a banked track allow?

A

A vehicle to take a corner with no frictional force

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15
Q

What is the definition of moment of inertia?

A

Measure of resistance to angular acceleration about a given axis

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16
Q

What is the moment of inertia dependant on?

A

Mass

Distribution of mass about axis of rotation

17
Q

What is Torque?

A

The turning effect of a force

18
Q

What is the formula for Torque when force is applied perpendicular?

A

T = F r

19
Q

W hat is the formula for Torque when force is applied at an angle?

A

T = F r sinØ

20
Q

What does an unbalanced torque produce?

A

An angular acceleration about an axis of rotation?

21
Q

How is frictional torque calculated?

A

Unbalanced torque = applied torque - frictional torque

22
Q

When is total angular momentum conserved?

A

When two or more objects collide in the absence of external torques.

23
Q

How is total kinetic energy calculated?

A

EK total = EK translational + EK rotational

EK total = 1/2 mv2 + 1/2 I omega2

24
Q

How is EP for an object rolling down a slope calculated?

A

EP = EK rotational + EK translational

mgh = 1/2 I omega2 + 1/2 mv2