The power of a bus engine is transmitted using the beltand- pulley arrangement s
ID: 1823194 • Letter: T
Question
The power of a bus engine is transmitted using the beltand- pulley arrangement shown. If the engine turns pulley A at ?A = (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. (Ans: ?B = 300 rad/s, ?C = 600 rad/s)
The power of a bus engine is transmitted using the beltand- pulley arrangement shown. If the engine turns pulley A at ?A = (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. (Ans: ?B = 300 rad/s, ?C = 600 rad/s)Explanation / Answer
When t = 3 sec
The angular velocity of A = 20x3 + 40 = 100 rad/sec
clearly, D = B ----------------since they are mounted on same shaft
Considering the fact that the velocity of belt will remain constant for the entire body of the belt. therefore the velocity of belt on the tip of pulley A must be same as the velocity of the belt on the tip of pully D
which implies , (r)A = (r)D
hence we get :
D /A = rA / rD = 75 / 25 = 3
D = 300 rad / sec
B = 300 rad/sec
Now, C / B = rB / rC = 100 / 50 = 2
C = 300 x 2 = 600 rad / sec
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.