Question

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. Calculate the centripetal acceleration at the tip of a 3.50 m long helicopter blade that rotates at 370 rev/min.

Answer 1

Answer:
`5255.46 m/s^2`

Step-by-step explanation:

Given

length of blade
`L=3.5 m`

`N=370 rev/min`

Angular velocity
`\omega =(2\pi N)/(60)`

`\omega =38.75 rad/s`

Centripetal acceleration is given

`a_c=\omega ^2\cdot L`

`a_c=38.75^2\cdot 3.5`

`a_c=5255.468 m/s^2`