Is the New Tilt-a-Whirl Design Safe According to G-Force Guidelines?

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If it is below 3.5 g's, then the new design would meet the guidelines. In summary, to determine if the new prototype model satisfies the guidelines for maximum acceleration, you would need to calculate the acceleration at the seat using the given information and compare it to the maximum allowable acceleration of 3.5 g's.
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tomboi03
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This is the Question:

Amusement parks are great fun and the venerable Tilt-a-Whirl is a perennial favorite. You are asked to examine a new prototype model with a little more whirl. General guidelines suggest a maximum of 3.5 g's on any ride (Note: amusement parks rides are not regulated at the federal level and so in many states there is really little or no oversight, caveat emptor). The general layout of the machine is sketched below and the design firm claims to have done its homework. The distance between pivots (A to B or B to C) is 20.0 m and the individual tangential velocities of the two armatures are 6.0 and 2.5 m/s respectively when the ride is operating a full power. The distance from the C pivot to the seat is set to 5m. Does this new design satisfy the guidelines?

So, basically... This is how far I got...

v2/r= rw2

So v=rw

[tex]\alpha[/tex]= dw/dt
and a = v2/r

but since this is not a circle, I'm not sure how to go about this...?

Am i just thinking too hard? Is this a really easy problem that I'm viewing in a difficult way?
 
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The answer to this question is that it depends on the specific design of the prototype model. In order to determine if the new design satisfies the guidelines, you would need to calculate the acceleration at the seat and compare it to the maximum allowable acceleration of 3.5 g's. The formula for the centripetal acceleration of a rotating object is a = v2/r, where v is the tangential velocity of the armature and r is the distance between the pivot points. You can use the given information to calculate the acceleration at the seat and compare it to the guidelines.
 

Related to Is the New Tilt-a-Whirl Design Safe According to G-Force Guidelines?

What is amusement park ride analysis?

Amusement park ride analysis is the study and evaluation of various aspects of theme park rides, including safety, design, ride experience, and customer satisfaction.

Why is amusement park ride analysis important?

Amusement park ride analysis is important because it helps ensure the safety and enjoyment of park guests. It also allows for improvements and modifications to be made to rides to enhance the overall experience.

What factors are considered in amusement park ride analysis?

Factors considered in amusement park ride analysis include ride speed, height, g-forces, ride duration, safety mechanisms, and guest feedback.

How is amusement park ride analysis conducted?

Amusement park ride analysis is conducted through a combination of on-site inspections, computer simulations, and data analysis. Each ride is thoroughly examined and tested to identify any potential safety hazards or areas for improvement.

Who performs amusement park ride analysis?

Amusement park ride analysis is typically performed by a team of engineers, designers, and safety experts who specialize in theme park rides. These professionals work closely with park management to ensure the best possible ride experience for guests.

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