Circular Motion Flashcards

1
Q

What is the radian?

A

The angle subtended at the centre of a circle by an arc equal in length to the radius of the circle

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2
Q

How do you concert from degrees to radians?

A

θ degrees x (π/ 180) = θ radians

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3
Q

What is angular displacement,θ ?

A

The change in angle, in radians, of a body as it rotates around a circle

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4
Q

What is the angular displacement ratio equation?

A

θ = distance travelled around the circle/ radius of the circle

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5
Q

What is frequency?

A

The number of complete oscillations per unit time

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6
Q

What is time period?

A

The time taken for one complete oscillation, in seconds

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7
Q

What is the frequency and time period equation?

A

f = 1/ T and T = 1/ f

f = frequency, Hz
T = time period, s

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8
Q

What are the features of an object travelling in circular motion at a constant speed?

A
  • It has a constantly changing velocity
  • The object is constantly changing direction
  • This means it is accelerating, and therefore has a changing velocity
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9
Q

What is angular velocity,ω?

A

The rate of change in angular displacement with respect to time

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10
Q

What are the angular velocity equations?

A

ω = Δθ / Δt
ω = 2π / T
ω = 2πf

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11
Q

The greater the rotational angle, θ, in a given amount of time, the _______ the angular velocity

A

Greater

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12
Q

An object rotating further from the circle (larger r) moves with a _________ angular velocity

A

Smaller

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13
Q

For an object in circular motion, where does the force act?

A

At a 90 degree angle to the velocity, for it to have a circular path

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14
Q

Where is there no force component in circular motion?

A

In the direction of the velocity

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15
Q

What does there being no force component in the direction of the velocity mean?

A

That the magnitude is constant - however the direction is constantly changing and velocity is a vector quantity so it must mean the velocity is changing. It also means there is acceleration present, and therefore a net force.

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16
Q

What is linear velocity?

A

The velocity of an object rotating in uniform circular motion, with respect to the linear displacement, as opposed to angular displacement

17
Q

What is the linear velocity equation?

A

v = ωr

v = linear displacement (m/s)
ω = angular velocity (rad/s)
r = radius of circle (m)

18
Q

What is centripetal acceleration?

A

The acceleration of an object towards the centre of a circle when the object is in motion around a circle at a constant speed

19
Q

What are the centripetal acceleration equations?

A

a = v^2 / r

a = ω^2 r

a = vω

20
Q

Where is centripetal acceleration always directed?

A

Towards the centre of the circle

21
Q

Centripetal acceleration is always ___________ to velocity

A

Perpendicular

22
Q

What is centripetal force?

A

The resultant force towards the centre of the circle required to keep a body in uniform circular motion; it is always directed towards the centre of the body rotation

23
Q

What are the circular motion equations?

A

F = mv^2 / r

F = mω^2 r

F = mvω

24
Q

How do you investigate circular motion?

A