Answer to Question #304286 in Mechanics | Relativity for KING

Question

A model of a helicopter rotor has four blades, each 3.40 m

long from the central shaft to the blade tip. The model is rotated in a wind tunnel at 550 rev/min (a) What is the linear speed of the blade tip, in (b) What is the radial acceleration of the blade tip expressed as a multiple of the acceleration of gravity, g?

Answer 1

Answer

Size or radius of blade

R=3.40m

Angular speed

$w=57.60rad/sec$

a) linear speed

$v=Rw=3.40*57.60\\=195.84m/s$

b) radial acceleration of the blade tip

$a=\frac{v^2}{R}\\=\frac{195.84*195.84}{3.40}\\=11280.38m/s^2$