Sale Shin The Expert TA HomeI Student: edayanov@gmail.com Mp chapter 6 Begin Dat

Question

Sale Shin The Expert TA HomeI Student: edayanov@gmail.com Mp chapter 6 Begin Date: /2/2018 12:00.00 AMDue Date: 7/9/2018 11:00:00 AM End Date:7/9/2018 11500:00 AM (9%) Problem 2: Heli op er blades withstand treme de s stresses. In adition to supporting the weight of a helicopter they are gu at rapid rates and experience lange centripetal accelerations, especially at the tip Randomized Variables 4.6m rpm 260 rpm 50% Part (a) Calculate the centripetal aceleration at the tip of a 46 m kng helicopter blade that rotates at 260 revmin in mi Pomial 100% Anemps emaining cotanO acos atan) acotan coshO tanhO cotanho O Degrees Radians Feedback deduction per feedck Samielhtary uv'50%Part (h) Compare the linear speed of the tip with the speed of sound (taken to be 340 mis). Give your answer in percent of the speed of 5 6 8 J KL

Explanation / Answer

Solution:

a.)
(Centripetal Acceleration) = (radius)*(angular velocity)2
Angular velocity = 260 rev/min = 27.22714 radians/second
(Centripetal Acceleration) = (4.60 m)*(27.22714 radians/second)2
(Centripetal Acceleration) = 3410.06 meters/second2

b.)
(tangential velocity) = sqrt((centripetal acceleration)*(radius))

vt = 125.24483 m/s.

Now then divide that by 340 m/s to get your percentage of the speed of sound,

vt/vs = 0.37 = 37%.

I hope you understood the problem, If yes rate me!! or else comment for a better solution.

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