a centrifugal force ride, similar to the gravitron, spin at a speed of 22 revolutions per minute. if the diameter of the ride is

Question

1 year ago

8

14 meters, what is the linear speed of the passengers in kilometers/hour?

1 answer:

Margarita [4] · Answer 1 · 2024-08-23T13:18:08+03:00

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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