An amusement park ride consists of a cylindrical chamber of radius R that can rotate. The riders stand along the wall and the chamber begins to rotate. Once the chamber is rotating fast enough (at a constant speed), the floor of the ride drops away and the riders remain "stuck" to the wall. The coefficients of friction between the rider and the wall are us and uk. 1. Draw a free body diagram of a rider of mass m after the floor has fallen away. 2. Is the rider on the wall accelerating? If so, in what direction? Should our FBD be balanced? 3. Write Newton's second law in the vertical direction. 4. Write Newton's second law in the horizontal direction. 5. If the ride takes a time T to go through one full revolution, what is the speed of the rider on the wall of the ride? 6. Assume that the ride is spinning just fast enough to keep the rider on the wall. Using the equations found in questions #3 and #4, calculate the minimum velocity to keep the rider suspended. 7. You get on the ride and notice another rider beside you who has twice your mass. If the ride is going just fast enough to keep you suspended, will the person beside you have a problem on the ride? 8. After a rider gets sick on the ride, the operator hoses down the walls of the ride, which reduces the coefficient of friction by half. What happens to the minimum velocity required for the rider to remain suspended?

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use . Factor A is method of loading and unloading; Factor B is the type of ride.

Set up the ANOVA table (to whole number, but -value to 2 decimals and  value to 1 decimal, if necessary).

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use  = .05. Factor A is method of loading and unloading; Factor B is the type of ride.

1. Set up the ANOVA table (to 2 decimal, if necessary). Round p-value to four decimal places.
   

   Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
   Factor A
   Factor B
   Interaction
   Error
   Total

   
   
2. The p-value for Factor A is Select:less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10
3. What is your conclusion with respect to Factor A? Select:Factor A is significant, Factor A is not significant
4. The p-value for Factor B is Select: less than .01, between .01 and .025 between .025 and .05, between .05 and .10, greater than .10
5. What is your conclusion with respect to Factor B?
   Select: Factor B is significant, Factor B is not significant
   
6. The p-value for the interaction of factors A and B is Select: less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10
7. What is your conclusion with respect to the interaction of Factors A and B?
   Select: The interaction of factors A and B is significant, The interaction of factors A and B is not significantI
   
8. What is your recommendation to the amusement park?
   Select: Use method 1; it has a lower sample mean waiting time and is the best method, Withhold judgment; take a larger sample before making a final decision Since method is not a significant factor, use either loading and unloading method

In a city park a nonuniform wooden beam 9.00 m long is suspended horizontally by a light steel cable at each end. The cable at the left-hand end makes an angle of 30.0∘ with the vertical and has tension 630 N. The cable at the right-hand end of the beam makes an angle of 50.0∘ with the vertical.

a) As an employee of the Parks and Recreation Department, you are asked to find the weight of the beam.

b) Find the location of its center of gravity.

Ms Scott arrives in the ED by car. She reports having been at the park with her spouse and children when she suddenly started having severe shortness of breath….

1. You need to quickly gather information. What questions do you ask?

2. What assessments do you want to make?

Ms Scott tells you that she has no previously known allergies. On her arm you note a small area that looks like a sting or bite. She quickly remembers that she was stung by a bee in the park and had forgotten because of her concern over her difficulty breathing. Your assessment reveals swelling of the lips/tongue, RR 28 and shallow, 02 sat 88%. Her lung sounds reveal wheezes throughout and you hear a faint, high pitched wheeze coming from her upper airway.

3. What do you need to do first?

4. What orders would you like? Why?

The ED healthcare provider comes in to quickly assess and orders:

• Oxygen 2-4 l/min to keep sat above 92%
• Placement of an oral airway
• NS 100 ml/hr
• Epinephrine 1:1000 – 0.4 mg IM
• Solu-Medrol 125 mg IVP
• Albuterol nebulizers
• Telemetry monitoring
• VS q 30 minutes for 2 hours

5. What is the reasoning for these orders?

After a dose of epinephrine, Solu-Medrol, and a bronchodilator, Ms. Scott begins to improve. Later that day, they decide to discharge her to home with a prescription for an epi pen.

6. What do you absolutely need to teach her before she leaves?

7. What other things would you like to teach her?

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use  = .05. Factor A is method of loading and unloading; Factor B is the type of ride.

1. Set up the ANOVA table (to 2 decimal, if necessary). Round p-value to four decimal places.
   

   Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
   Factor A
   Factor B
   Interaction
   Error
   Total

   
   
2. The p-value for Factor A is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 21
   
   What is your conclusion with respect to Factor A?
   SelectFactor A is significantFactor A is not significantItem 22
   
3. The p-value for Factor B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 23
   
   What is your conclusion with respect to Factor B?
   SelectFactor B is significantFactor B is not significantItem 24
   
4. The p-value for the interaction of factors A and B is Selectless than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 25
   
   What is your conclusion with respect to the interaction of Factors A and B?
   SelectThe interaction of factors A and B is significantThe interaction of factors A and B is not significantItem 26
   
5. What is your recommendation to the amusement park?

The Walt Disney Company is planning to add a new rollercoaster to its park in Anaheim, California. The cost to purchase and build this rollercoaster will be $12,000,000 and will cost $80,000 in maintenance every year. Disney will also assign staff to organize lines and guide visitors through these rollercoasters. The salary of the staff is expected to be $100,000 every 6 months. After 10 years of operation, the rollercoaster equipment needs to be remodeled at a cost of $1,000,000. During remodeling, it will be unavailable to visitors for 6 months. The rollercoaster will be operational for another 9.5 years, after which it will be considered obsolete. Its estimated salvage value at that time is $1,500,000.

The management of the Disneyland estimates that the rollercoaster will attract 20,000 people in the first six months of operation, and that this figure will grow by 3% per semester (6 months). Assume that during the major upgrade, the number of additional visitors is zero and that the number of visitors after the rollercoaster starts again is the same number as immediately before the major upgrade (the growth rate remains 3%). The benefit per visitor is $10.50 and the interest rate is 7% per year compounded semi- annually.

a) Draw the cash-flow diagram.

b) What is the benefit (in today’s $$) of this investment?

c) What is the cost to Walt Disney company (in today’s $$)?

d) Determine the benefit-cost ratio. Should the Walt Disney management pursue the investment?

e) In case the management should not pursue it, what would be the minimum required benefit per visitor such that the investment can be considered profitable?

THESE IS ALL THE INFORMATION NECESSARY TO COMPLETE THE PROBLEM. THERE IS NO OTHER NECESSARY INFO

Some geysers such as Old Faithful in Yellowstone National Park are remarkably consistent in the periodicity of their eruption. For example, in 1988, 6,900 timed intervals between eruptions for Old Faithful averaged 76.17 minutes, with the shortest observed interval 41 minutes and the longest 114 minutes. In the past 120 years Old Faithful's yearly average interval has always been between 60 and 79 minutes.

It is also well known that the relationship between the length of the eruption and the length of the subsequent interval duration is a positive one. Suppose the following data were collected over a several day period.

1: Compute r, the Pearson correlation coefficient

2: At the 0.05 level of significance, test the null hypothesis that the (“eruption time” and the “interval duration”) population correlation coefficient [ρ] is equal to 0.

3: Compute and use the regression equation you came up with in the previous part (namely “f”) to predict the “interval duration” for an “eruption time” of 6 minutes.

Suzy’s Cool Treatz is a snow cone stand near the local park. To plan for the future, the owner wants to determine her cost behavior patterns. She has the following information available about her operating costs and the number of snow cones served.

Suzy uses the high-low method to determine her operating cost equation. What are her estimated costs at 4,214 snow cones? When calculating the variable cost per unit, round your answer to two decimal places before completing your calculations. Do not use dollar signs, commas or decimals in your answer. Input your answer to the nearest whole number.