The linear speed of the passengers in kilometres/hour is 1.152 km/h.
The centrifugal force ride spins at a speed of 22 rev/min. The diameter of the ride is 14 meters.
We know,
Diameter = 2(Radius)
Radius = 14/2m
Radius = 7m
Radius of the centrifugal ride is 7m.
Also,
1 rev = 2π radians
22 rev = 44π radian
Angular Speed in rad/s = 44π/60
The relationship between the angular speed W and the linear speed V is given as,
V = W/R
R is the radius of the circle,
Now, putting the values,
V = 44π/(60×7)
V = 0.32 m/s.
So, the linear speed of the passengers is 0.32 m/s.
It is know, for conversion from m/s to km/h
1 m/s = 3600/1000 km/h
So, 0.32m/s in km/h is,
0.32m/s = 0.32 × 3600/1000
Linear speed in km/h is 1.152km/h.
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