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General Physics I > Chapter 10: Rotation > Flashcards

Chapter 10: Rotation Flashcards

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1
Q

What is the equation for an angular position?

A

s = r(θ) or θ = s/r

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2
Q

What are the units for theta?

A

radians or revolutions

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3
Q

What is the circumference of a circle?

A

2(π)r or (π)d

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4
Q

What is one revolution equal to?

A

C/r = 2(π)r/r = 2π radians

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5
Q

What is one radian equal to?

A

360 degrees/2π = 57.3 degrees

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6
Q

What is the difference between functions for translation and rotation?

A

translation is x(t)
rotation is theta(t)

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7
Q

What is the equation for angular displacement?

A

Δ(θ) = θ2 - θ1

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8
Q

What is the average angular velocity equivalent to?

A

ωav

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9
Q

What is the equation for ωav?

A

Δθ/Δt = (θ2 - θ1)/(t2-t1)

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10
Q

What is the direction counterclockwise?

A

positive (+)

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11
Q

What is the direction clockwise?

A

negative (-)

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12
Q

What is the instantaneous angular velocity equivalent to?

A

ω = lim Δt -> 0 of Δθ/Δt = dθ/dt

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13
Q

What are the units for ωav?

A

radians/s or revolutions/s

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14
Q

What is the average angular acceleration equivalent to?

A

Aav

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15
Q

What is the equation for Aav?

A

delata omega/deltat = (omega2 - omega1)/(t2-t1)

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16
Q

What are the units for Aav?

A

rad/s^2 or rev/s^2

17
Q

What is the instantaneous angular acceleration equivalent to?

A

alpha

18
Q

What is the equation for alpha?

A

alpha = lim deltat -> 0 of deltaomega/deltat = domega/dt

19
Q

What is another equation for omega?

A

omega = dtheta/dt

20
Q

What are the three improved physics equations?

A

omega = omega0 + alphat
theta - theta0 = omega0t + 1/2 alpha t^2
omega^2 = omega0^2 + 2alpha(theta=theta0)

21
Q

What is the equation and simplified equation for rotational speed?

A

ds/dt = drtheta/dt
v = ds/dt = rdtheta/dt = romega
v= romega

22
Q

What is the symbol T equivalent to?

A

period of revolution

23
Q

What is the equation for T?

A

2pir/v = 2pi/w

General Physics I (5 decks)

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