Dynamics 16-12| The power of a bus engine is transmitted using the belt-and-pulley system...

Question: The power of a bus engine is transmitted using the belt-and-pulley system arrangement shown. If the engine turns pulley A at wa = (20t + 40) rad/s, where t is in seconds, determine the angular velocities of the generator pulley B and the air-conditioning pulley C when t = 3 s.
Problem 16-12 from:
Engineering Mechanics: Dynamics, 14th edition
Russell C. Hibbeler
Thank you guys for watching.
Please let me know if you have any comments or suggestions and also if you have any other problem you would like to go over with.

[@rhosart1119]

to be an alternative solution ; we can apply Power= w(angular velocity) . r (radius) .because of we have only one power supply , power always remains same so w= P/r and we can write ratios , then P 's are gone and we have w1 / w2 = r2/r1

[@krik6449]

Why dont we divide by rB and we divide with rD in order to find the angukar velocity of B?

[@Phyzomania]

Which book do you use?

[@matthewspence7476]

He is using Hibbeler Dynamics 14th Edition

[@r2k314]

why don't you have to integrate w?

[@LearningbyTeaching]

I dont understand your question.

[@r2k314]

@@LearningbyTeaching hi! your doing great job! Why don't you have to integrate angular velocity function?