Question

Helicopter blades withstand tremendous stresses. In addition to supporting the weight of the helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. (a) Calculate the centripetal acceleration, in m/s?, at the tip of a 3.70-meter-long helicopter blade that rotates at 310 rev/min. m/s2 (b) Compare the tangential speed of the tip with the speed of sound (taken to be 340 m/s on this day). V v sound

Please show all work.

Answer 1

war = (32.247 3.7=3845.845 mis 32.24x3.7= 119.288 m/s2 Centribetal acceleration a=v2 Velocity v= wr angular velocity = 310 rev/min Trev/min=0.lou rat/sec wa310x 0.104 = 32.24 rad/sec a = (wora a=3845.845 m/s2 3 Velocity v=wra V 119.288 Vsound 0.3508 340