Helicopter Blade Length Calculation

What is the length of the helicopter blade based on the given data?

Calculate the length of the helicopter blade based on the centripetal acceleration and velocity provided.

Answer:

The length of the helicopter blade is 5 meters.

Based on the given data, the centripetal acceleration of the spinning helicopter blade is 105.8 m/s², and the velocity of the blade at this point is 23 m/s. Using the formula for centripetal acceleration, Ac = v² / r, where v is the velocity and r is the radius of the circle formed.

Substitute the given values into the formula:

105.8 m/s² = (23 m/s)² / r

r = (23 m/s)² / 105.8 m/s²

r = 5 meters

Therefore, the length of the helicopter blade is 5 meters.