Rotational Motion

Question 1

ω̄ (average angular velocity) =

Answer 1

Δθ/Δt

Question 2

ω (instantaneous angular velocity) =

Answer 2

dθ/dt

Question 3

ᾱ (average angular acceleration) =

Answer 3

Δω/Δt

Question 4

α (instantaneous angular acceleration) =

Answer 4

dω/dt

Question 5

Define a rigid body

Answer 5

All points along a radial line always have the same angular displacement.

Question 6

Δθ (angular displacement) =

Answer 6

Δs/r

s = arc length

Question 7

v̄ (average linear velocity) =

Answer 7

rω̄

Question 8

v (instantaneous linear velocity) =

Answer 8

rω

Question 9

a (instantaneous linear acceleration ) =

Answer 9

rα

Question 10

ac (instantaneous centripetal acceleration) =

Answer 10

(v^2)/r = (ω^2)r

Question 11

Big Five #1:

Δθ =

Answer 11

ω̄ t

Question 12

Big Five #2

ω =

Answer 12

ω0 + αt

Question 13

Big Five #3

θ =

Answer 13

θ0 + ω0t + 0.5α(t^2)

Question 14

Big Five #4

Δθ =

Answer 14

ωt - 0.5α(t^2)

Question 15

Big Five #5

(ω^2) =

Answer 15

(ω0^2) + 2αΔθ

Question 16

τ (torque) =

Answer 16

rFSin(θ)
(θ is the angle between the extension of r and the direction of F)

lF
(l is the component of r that is perpendicular to F)

Question 17

τ̂ (torque) =

Answer 17

r̂ x F̂

Question 18

Pulley Tension Force and Torque

τ (torque) =

Answer 18

rF

Question 19

τ (torque) =

Answer 19

m(r^2)α

Question 20

Rotational Inertia or Moment of Inertia

I =

Answer 20

∫(r^2)dm

Question 21

Στ = `

Answer 21

Iα

l is moment of inertia

Question 22

Rotational

KE =

Answer 22

0.5I(ω^2)

Question 23

Rolling

KE =

Answer 23

0.5 *I *(ω^2) + 0.5m(v^2)