What is the linear speed of a helicopter rotor blade tip?

What is the linear speed of a helicopter rotor blade tip if the model has four blades, each 3.40 m long, and is rotating in a wind tunnel at 550 rev/min? The linear speed of the helicopter rotor blade tip is 360.89 m/s.

Calculation of Linear Speed

Given:

Number of blades: 4

Length of each blade: 3.40 m

Rotation speed: 550 rev/min

Formula used:

Linear speed (v) = radius (r) * angular speed (ω)

Conversion:

550 rev/min * 2π radians/rev = angular speed in radians/min

Convert angular speed to radians/second: (angular speed in radians/min) * (1 min / 60 s)

Calculation:

Angular speed (ω) = 550 * 2π rev/min * (1 min / 60 s) = 18.24 rad/s

Linear speed (v) = 3.40 m * 18.24 rad/s = 360.89 m/s

Therefore, the linear speed of the helicopter rotor blade tip is 360.89 m/s.

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