Physics FUN Day Sponsored by Knott's Berry Farm, Edwards Airforce Base, and Physics Teachers. Schedule of Events Thursday, February 24, 2005
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1 Schedule of Events Thursday, February 24, 2005 Paper Power Tower 9:00a Boardwalk Ballroo Liited to 30 teas of 1-3 students Paper Airplanes for Accuracy 10:00a Boardwalk Ballroo Liited to 60 students Edwards Air Force Base Presentations: Lt. Col. Sith, USAF Deputy Director, Project Manageent Directorate Mr. W. Jones, Project Intergrator 12:00p Boardwalk Ballroo The PHYSICS Behind The Rides 2:00p Boardwalk Ballroo Knott s Berry Far eployees DR. FLUBBER Ongoing paper airplane workshop/deonstration Boardwalk Ballroo Gaes will be cancelled in case of rain Park Hours: Physics Students: 8:00a 6:00p Students & General Public: 10:00a 6:00p Lunch: Auntie Pasta s: 11:00a 2:00 p Parking: $9.00 Cars & Vans $15.00 Busses Physics FUN Day 2005 Sponsored by Knott's Berry Far, Edwards Airforce Base, and Physics Teachers
2 Physics Fun Day 2005 at Knott s Berry Far EXTRA NOTES & DRAWINGS Welcoe to the Seventh Annual Physics Fun Day at Knott s Berry Far. The planners hope you have both an enjoyable and educational day. To ake the day safe for all we ask you to keep the following rules in ind: 1. Only equipent of the type found in Auseent Park Physics Kits (sold by science vendors) has been approved by Knott s officials for use on the rides this day. Wristbands provided with kits ust be used. 2. All digital sensors and their interface units ust be secured within devices such as Vernier s Lab Vest. Collecting data using digital sensors is optional. 3. Follow the directions of Knott s eployees. Do not distract ride operators. They need to pay attention to the safe operation of the rides. 4. Check in with your teacher and tea on a regular basis. 5. Wear appropriate clothing. To ake the ost of your day of physics you will need the following pieces of equipent: Pencil Stop watch 0.01 sec. Vertical Acceleroeter Horizontal acceleroeter Inclinoeter Soft linear easuring device (knotted string, cloth easuring tape) TI 83 or 83+ calculator for electronic data collection (optional) When aking easureents at Knott s, work in a tea of two, three, or four. One tea eber should plan to keep track of the stuff while others stand in line for a ride. Before coing to Knott s you should discuss the easureents you will need to ake and calibrate your equipent. Measureent suggestions and useful equations are included in this guide. Plan your day to include the Physics copetitions and presentations in the Boardwalk Ballroo. Several thousand physics students are expected to attend Physics Day at Knott s. Knott s will open at approxiately 8a exclusively for physics students. There are any rides deonstrating nuerous physics concepts. If a line for one ride is too long, go to another ride. When you finish with your easureents, store your equipent in a locker and continue to explore the park in a less quantitative anner.
3 EXTRA NOTES & DRAWINGS Equipent Needed: Inclinoeter and stopwatch 1. Estiate the axiu height reached by the water jets. Max. height 2. Calculate the gauge pressure required to elevate the water fro one jet to its axiu height. Gauge Pressure N/ 2 3. Assuing each water jet eanates fro a 1.27 c (one half inch) diaeter pipe, calcuate the total volue flow rate for all water jets. Volue Flow Rate 3 /s 4. Estiate the iniu power required by a single pup to provide the required volue flow rate. Miniu Pup Power HP
4 Drawings and Notations Equipent Needed: Inclinoeter, stopwatch, acceleroeter, easuring tape, To easure height: 1. Estiate the height of the riders before they get shot down (answer in eters). 1 = h = [ sin 1 sin( 1-2) sin 2]b+observer height h = [ 2 = b = h = h 1 b Measure how any seconds the first drop takes. Use this tie and the freefall equation to estiate the distance you fall during the first drop (answer in eters). t = d = 3. Does your answer for #2 ake sense or agree with your answer in #1? Explain. ax = -g tan y To easure Horizontal Acceleration use bb in tube x Measure fro 90º 4. Using your acceleroeter, easure the vertical acceleration descending fro the tower during the first drop. a = /sec 2 5*. Using your acceleroeter, easure the axiu deceleration at the botto of the first drop. a = /sec 2
5 Equipent Needed: Inclinoeter, stopwatch, acceleroeter, easuring tape, 1. Estiate the height of the highest point of Xcelerator s track. 1 = 2 = b = h = 2. While on the ride use your horizontal acceleroeter to deterine the g value as the ride leaves the station. g = g s 3. Tie the period of acceleration. Calculate the displaceent and final velocity. t = sec d = v = /sec 4. While on the ride deterine the g s as the ride falls down the first hill. g = PUT THE PEDAL TO THE METAL g s *5. Use a 3-axis digital acceleroeter to collect data for the entire ride. Make a printout of a graph showing both vertical and horizontal acceleration vs. tie. Measureent Suggestions and Useful Forulae Knott's Berry Far is copact, so you will need to explore areas appropriate for aking easureents, which do not interfere with the operations of the park. To find distances use string knotted at known intervals, cloth easuring tapes or your known pace length. To find heights you will easure the angles fro your eye to the height at two locations in line of sight along a easured distance between the two angles. Have soeone help you read the angle on the inclinoeter because very slight errors in reading angles cause ajor errors in calculations. (See Diagra on next page) When easuring speeds find a location that parallels the tracks and take several readings to find the average value. When using acceleroeters, be sure to have the secured around your wrist so there is no possibility that they ay coe loose to hurt yourself or others. (See Diagra on next page) A lift is the portion of the track where the ride is pulled to a height fro which it falls. Useful Forulae: Vf - Vi KE = 1/2 v 2 a = t PE = gh height = {[sin 1 sin 2 / (sin( 1-2)] b} + observer s height v = d/t ω = /t g = 10 /s 2 J = kg 2 /s 2 v = 2πr/ T freefall: d = 1/2gt 2 v = gt F = a ac = v 2 /r T = 2π(L/g) 1/2 p = v P = w/t w = Fd 4π 2 r a = t
6 Wheeler Dealer Buper Cars 1. Which of Newton s Laws is best used to describe what happens ost between the buper cars? Equipent Needed: Inclinoeter, stopwatch, acceleroeter, and easuring tape 1. Estiate the height (in eters) of the last car when it reaches its highest point on the track. 1 = 2 = b = 2. Where do the cars get their power? h = 2. Calculate the average speed of the last car on the train during the first descent. 3. What is the purpose of the rubber bupers on the cars? distance used = tie used = vavg = /sec 3. Knott's Berry Far gives the axiu speed obtained by the train as 22.4/s. Assuing all the train s potential energy is transferred to kinetic energy, what is it s theoretical axiu speed? 4. Observe a collision and describe it using conservation of oentu concepts. vtheorectical = /sec 4*. Measure the acceleration as you go through the botto of the loop. a = /sec 2
7 Equipent Needed: Inclinoeter, stopwatch, acceleroeter, easuring tape, 1. Measure the angle of the drop path and the drop tie. = 2. Estiate the height of the drop. (Explain how you did this.) h = Equipent Needed: Inclinoeter, stopwatch, acceleroeter, and easuring tape DRAGON SWING 1. Using an acceleroeter, easure the centripetal acceleration experienced at the botto of the arc of the Dragon Swing. a = /sec 2 2. Estiate the length of the pendulu ar or radius of the rotation of the ship (in eters). Explain how you did this. L = 3. Deterine the theoretical acceleration along the drop path if there was no water and no friction. a = /sec 2 4. Measure the acceleration on the drop path using an acceleroeter. a = /sec 2 5. Copare the easured and the theoretical acceleration. 3. Assuing echanical energy is conserved, calculate the speed of the ship at the botto of the swing. v = /sec 4. Using the centripetal acceleration (using v and r) calculate the theoretical acceleration at the botto of the swing. a = /sec 2 5. Copare the easured acceleration fro question #1 and the theoretical acceleration fro question # 4 and explain the difference.
8 Equipent Needed: Inclinoeter, stopwatch, acceleroeter, easuring tape, 1. Knott s reports the train leaves the station oving at 24.6 /s. Tie how long the train is pushed and based upon this, calculate the train s acceleration. (Show your work) t = a = 2. Use an acceleroeter to estiate the train s take off acceleration. (Show data and calculations) a = 3. What is the deceleration of the coaster when the first big braking starts? (Explain your ethod and calculations). a = 4. Use the ratio of the return tower height and forward tower height to estiate the efficiency of the roller coaster as a percent (%). Forward tower height: 1 = 2 = b = hf = Return tower height: 1 = 2 = b = hr = Equipent Needed: Inclinoeter, stopwatch, acceleroeter, and easuring tape TIMBER MOUNTAIN LOG RIDE 1. Estiate the nuber of riders to ride the log ride as of its 30 th anniversary on July 11, 1999 (Assue the ride is operational 340 days a year for an average of 10 hours per day). 2. Knott s reports that the water s path is 670 in length. What is your average velocity on the trip? Tie used = vavg = 3. Deterine the height and angle of the outside chute at the end of the ride. 1 = 2 = b = h = = 4. Using conservation of energy, estiate the speed at the botto of the outside chute. Show your work. 5. The weight of a log is 2224N. Estiate the oentu of a fully loaded log at the base of the outside chute. Show your work. e = %
9 Equipent Needed: Inclinoeter, stopwatch, acceleroeter, easuring tape, Equipent Needed: Inclinoeter, stopwatch, acceleroeter, easuring tape, 1. Estiate the height of the cover on the top of the first lift. 1 = 2 = b = h = 2. Estiate the speed in /s of the outbound coaster as it crosses over Grand Avenue (the street outside of the ain gates). Distance used = Tie = vavg = 3. Deterine your acceleration as you go down the first hill and explain how you found it. 1. Copare the speed of Jaguar fro post 98 to 104 as it passes the Carousel and Cantina to its speed after it leaves the U-turn fro post 124 to 130. Distance before turn = Tie before turn = Distance after turn = Tie after turn = vavg before = vavg after = 2. Estiate the radius of the circular loop above Jaguar s water gun fountain in eters. 3. Estiate the cars average speed around the loop in #2 in eters. tie = distance = vavg = 4. Calculate the centripetal acceleration of the riders as they go around the loop. 5. Now copare the calculated value to the easured acceleration using an acceleroeter. Questions 1 & 2 are to be copleted in the parking area in front of the park BEFORE you enter or AFTER you leave.
10 Equipent Needed: Inclinoeter, stopwatch, acceleroeter, and easuring tape LA REVOLUCION 1. Deterine the coplete angle through which the riders ove. Equipent Needed: Inclinoeter, stopwatch, acceleroeter, and easuring tape 1. Estiate the length of the Silver Bullet train. a = degrees L = 2. Estiate the length of the swinging ar fro the pivot point to the passenger end. L = 3. Deterine the period of La Revolucion. 2. What is the iniu power of the otor which lifts the Silver Bullet and riders to the top of the first incline? (Assue the Silver Bullet has a ass of 10,000 kg and each rider averages 73.0 kg.) Power, in. HP 3. Calculate the increase in speed resulting fro the initial drop of 33.2 (109 ft.). t = sec Speed Increase /s 4. Calcuate the centripetal acceleration at the lowest point in the swinging otion. 4. Estiate the angular velocity, ω, of the Silver Bullet as it travels through the lower elevated spiral. a = /s 2 Angular Velocity rad/sec 5. Measure the centripetal acceleration at the lowest point in the swinging otion. 5. Estiate the radius of the lower elevated spiral and calculate the anticipated centripetal acceleration. a = /s 2 Radius Centripetal Acceleration, ac /s 2
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