A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 8.00 m radius, (a) at what angular velocity (in rad/s) will the riders be subjected to a centripetal acceleration 1.9 times that due to gravity?

Respuesta :

Answer:

Angular velocity will be 1.525 rad/sec          

Explanation:

We have given radius of the circular path r = 8 m

We have given centripetal acceleration [tex]\alpha =1.9g=1.9\times 9.8=18.62m/sec^2[/tex]

Now we know that centripetal acceleration is given by [tex]\alpha =\frac{v^2}{r}[/tex], here v is linear velocity and r is radius

So [tex]18.62 =\frac{v^2}{8}[/tex]

v = 12.204 m/sec

Now we know that linear velocity is given by [tex]v=\omega r[/tex], here [tex]\omega[/tex] is angular velocity and r is radius

So [tex]\omega =\frac{v}{r}=\frac{12.20}{8}=1.525rad/sec[/tex]

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