Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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 :

onyebuchinnaji

(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

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.