Rotational Kinematics Formulas

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19 Terms

1
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Symbol for angular velocity

omega (ω)

2
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Angular velocity (ω) is equal to… (in relation to angle)

ω = Δθ/Δt (angular velocity = angle / time)

3
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Symbol for angular acceleration

alpha (α)

4
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Angular acceleration (α) is equal to… (in relation to angular velocity)

α = Δω/Δt (angular acceleration = change in angular velocity / time)

5
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Angular velocity (ω) is equal to… (in relation to distance)

ω = s/rt (angular velocity = distance / radius * time)

6
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Linear velocity (v) is equal to… (in relation to angular velocity)

v = rω (linear velocity = radius * angular velocity)

7
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<p>Distance traveled on a circle (s) is calculated with the formula…</p>

Distance traveled on a circle (s) is calculated with the formula…

s = rθ (distance = radius * angle)

8
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Angular displacement (or angle) is calculated with the formula…

θ = s/r (angular displacement = distance / radius)

9
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Angular acceleration (α) is equal to… (in relation to linear velocity)

α = v/rt (angular acceleration = linear velocity / radius * time)

10
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Angular velocity (ω) is equal to… (in relation to linear velocity)

ω = v/r (angular velocity = linear velocity / radius)

11
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Linear acceleration (a) is equal to… (in relation to angular acceleration)

a = αr (linear acceleration = angular acceleration * radius)

12
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Linear acceleration (a) is equal to… (in relation to linear velocity)

a = v/t (linear acceleration = change in linear velocity / time)

13
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Centripetal acceleration is equal to…

ac = v²/r = rω2 (centripetal acceleration = linear velocity squared / radius = radius * angular velocity squared)

14
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<p><strong>Total</strong> linear acceleration is…</p>

Total linear acceleration is…

The vector sum of tangential and centripetal accelerations.

<p>The vector sum of tangential and centripetal accelerations.</p>
15
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Tangential acceleration is equal to…

at = αr = r * (Δω/Δt) (tangential acceleration = angular acceleration * radius = radius * change in angular velocity / change in time)

16
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Total linear acceleration equation is…

aT = √(at² + ac²)

<p>a<sub>T</sub> = √(a<sub>t</sub>² + a<sub>c</sub>²) </p>
17
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Angular velocity (ω) is equal to… (in relation to frequency)

2πf (angular velocity = 2 * pi * frequency)

18
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Rotational kinetic energy (KE) is equal to…

1/2 Iω² (rotational kinetic energy = 1/2 moment of inertia * angular velocity squared)

19
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Angular momentum (p) is equal to…

p = Iω (angular momentum = moment of inertia times angular velocity)