How to Calculate the Length of a Spinning Helicopter Blade?
What is the centripetal acceleration of a point at the end of a spinning helicopter blade?
The centripetal acceleration of a point at the end of a spinning helicopter blade is 67.37 m/s2.
What is the velocity of the blade at this point?
The velocity of the blade at this point is 16 m/s.
How can we calculate the length of the helicopter blade?
Choose the correct option:
- A. 3.1 m
- B. 4.1 m
- C. 3.8 m
- D. 3.5 m
Answer:
The correct answer is C. 3.8 m.
To calculate the length of the spinning helicopter blade, we can use the formula for centripetal acceleration:
Centripetal acceleration (a) = (v^2) / r
Given:
Centripetal acceleration (a) = 67.37 m/s2
Velocity (v) = 16 m/s
Now, we can rearrange the formula to solve for the radius (r):
r = (v^2) / a
Substitute the values into the formula:
r = (16^2) / 67.37 = 256 / 67.37 = 3.8 meters
So, the length of the helicopter blade is 3.8 meters.