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Helicopter blades withstand tremendous stresses. In

Chapter 6, Problem 15

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QUESTION:

Problem 15PE

Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip.

(a) Calculate the magnitude of the centripetal acceleration at the tip of a 4.00 m long helicopter blade that rotates at 300 rev/min.

(b) Compare the linear speed of the tip with the speed of sound (taken to be 340 m/s).

Questions & Answers

QUESTION:

Problem 15PE

Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip.

(a) Calculate the magnitude of the centripetal acceleration at the tip of a 4.00 m long helicopter blade that rotates at 300 rev/min.

(b) Compare the linear speed of the tip with the speed of sound (taken to be 340 m/s).

ANSWER:

Problem 15PE

Solution 15 PE

Step 1 of 4:

In this question, we need to find magnitude of the centripetal acceleration at the tip of the helicopter

In the second part we need to find the linear speed and compare the same with the velocity of the sound

Data given

Length of blade

Angular velocity

Converting this to rad/s

                

                

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