contestada

point at the end of a spinning helicopter blade has a centripetal acceleration of 105.8 m/s2. If the velocity of the blade at this point is 23 m/s, how long is the helicopter blade?

Respuesta :

Given:
Centripetal acceleration = 105.8 m/s²
velocity = 23 m/s

The formula of centripetal acceleration is:
Ac = v² / r

where v is the velocity and r is the radius of the circle formed. The radius is the length of the helicopter blade.

105.8 m/s² = (23m/s)² / r

r = (23m/s)² / 105.8 m/s²
r = 529 m²/s² * s²/105.8 m
r = 5 m

The helicopter blade is 5 meters long.