Answer:
The angular speed of the blade is, sₐ = 83.78 s⁻¹
The tangential speed of the tip of the fan blade, sₓ = 12567 m/s
Explanation:
Given data,
The spinning rate of fan blade, N = 800 rev/min
Converting rpm into radians per sec
[tex]\omega_{(rad/s)}=\frac{ 2 \pi }{60} \times N_{rpm}[/tex]
[tex]\omega_{(rad/s)}=\frac{ 2 \pi }{60} \times 800_{rpm}[/tex]
ω = 83.78 s⁻¹
Since speed is only the magnitude of the vector.
The angular speed of the blade is, sₐ = 83.78 s⁻¹
The tangential speed of the tip of the blade at a distance 150 m from its center to the tip is,
v = r ω
Where r is the distance fro the center to the tip
Substituting the values,
v = 150 x 83.78
= 12567 m/s
Hence, the tangential speed of the tip of the fan blade, sₓ = 12567 m/s
