Posted by **Sarah** on Sunday, June 7, 2009 at 9:32pm.

a model of a helicopter rotor has four blades, each 3.40 m in length from the central shaft to the tip of the blade. The model is rotated in a wind tunnel at 550 rev/min. A) what is the linear speed, in m/s of the blade tip? B.) what is the radial acceleration of the blade top, expressed as a multiple of the acceleration g due to gravity?

- Physics -
**MathMate**, Monday, June 8, 2009 at 12:51am
angular velocity, ω

= 550 rpm

= 550 * 2π /60

= 55π/3 radians/s

radius, r

= 3.4 m

A.

Linear speed, v

= r ω m/s

= 3.4 * 55 π/3 m/s

= 195.83 m/s

B.

radial acceleration

= r ω^{2}

= 3.4 (55π/3)^{2} m/s/s

= 11279 m/s/s

= 11279 / 9.81 g

= 1149.7 g

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