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A flywheel is rotating with an angular velocity of 1.4 rad/s and is acted on by an acceleration of 0.6 rad/s².

a) What angular velocity will it have attained after three complete turns?

b) How long will it take to do those three turns?

Sagot :

Onyebuchinnajiidn

(a) The final angular velocity of the flywheel after 3 complete revolutions is 4.96 rad/s.

(b) The time taken for the flywheel to make 3 complete revolutions is 5.93 s.

Final angular velocity

The final angular velocity of the flywheel after 3 complete revolutions is determined by applying third kinematic equation as shown below;

θ = 2π (rad/rev) x (3 rev) = 18.85 rad

ωf² = ωi² + 2αθ

ωf² = (1.4)² + 2(0.6)(18.85)

ωf² = 24.58

ωf = √24.58

ωf = 4.96 rad/s

Time of motion

The time taken for the flywheel to make 3 complete revolutions is calculated as follows;

ωf = ωi + αt

t = (ωf  - ωi)/α

t = (4.96 - 1.4)/0.6

t = 5.93 s

Learn more about time of motion here: https://brainly.com/question/2364404

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