Respuesta :
Explanation:
It is given that,
Length of the helicopter, l = 3.1 m
The helicopter rotates, the length of helicopter will become the radius of circular path, r = 3.1 m
Angular speed of the helicopter, [tex]\omega=280\ rev/min=29.32\ rad/s[/tex]
(a) The centripetal acceleration in terms of angular velocity is given by :
[tex]a_c=r\times \omega^2[/tex]
[tex]a_c=3.1\times (29.32)^2[/tex]
[tex]a_c=2664.95\ m/s^2[/tex]
(b) Let v is the linear speed of the tip. The relation between the linear and angular speed is given by :
[tex]v=r\times \omega[/tex]
[tex]v=3.1\times 29.32[/tex]
v = 90.89 m/s
[tex]\dfrac{v_{tip}}{v_{sound}}=\dfrac{90.89}{340}=0.267[/tex]
Hence, this is the required solution.
