Activity: Feeling the acceleration of The Crazy Galleon Electronic Data Collection 7. Record your vertical accelerometer readings in the largest oscillation: In the middle a. At rest. _____10_ ms-2__ b. Moving through the lowest point. __19.3 ms-2 c. At the highest point. ________4.7 ms-2________ At the End d. At rest. _____10_ ms-2__ e. Moving through the lowest point. __21.5 ms-2 f. At the highest point. ________3.1 ms-2________ 8. Determine the period of oscillation: a. for small oscillations for first two oscillation. b. for large oscillations. Period = 7.8 s Period= 7.5s Is the period affected by the amplitude of the oscillation? Does this approximate the behavior of a pendulum? Please support your answer. The period is not affected by the amplitude. This approximate the behavior of a pendulum 1 Activity: Motion of the 'Dragon' Suggested Answer Q1 Vertical Acceleration/ ms-2 Longitudinal Acceleration /ms-2 Relative Speed * Your feeling of your weight* A 26.6 -3.7 Largest with decreasing Heavier B 10 -3.4 Medium with decreasing Normal C 1.8 -7.2 Smallest with increasing Lighter D 12.8 -3.1 Medium with increasing Normal E 20.3 -3.4 Largest with increasing Heavier Activity: Feeling the acceleration of Abyss Turbo Drop (Department of Physics, The Chinese University of Hong Kong Copyright © 2003 Education and Manpower Bureau, HKSAR Supported by Ocean Park Hong Kong) Typical Results Stage of Motion Feeling being pulled downwards / weightless / normal / gain weight / lose weight Interpretation of Motion accelerating / decelerating / moving at a constant velocity acceleration greater than / equals / less than g Instantly after take off being pulled downwards accelerating downwards acceleration is greater than g A second after take almost weightless off accelerating downwards acceleration almost equals g Shortly before reaching the bottom of the tower decelerating gain weight 2 Typical Results Velocity of initial rise = 2.2 ms-1 3 Average acceleration = 2 (-3.882) ms-2 = -7.8 ms-2 (downwards) Remarks: In fact, the acceleration of the ride keeps changing when it is thrust downwards. The downward acceleration is controlled by the difference in the tension of the upper and lower cables connecting the passenger platform and could be greater than g. The downward motion is not a free fall under gravity with a constant acceleration. One can see the change in acceleration in details by fitting the data with a cubic curve as below: It reveals that the acceleration is decreasing in magnitude. One can see the change in acceleration more readily by taking the ride with an acceleration sensor and a datalogger (see the previous activity). When the platform is approaching the bottom of the tower, the acceleration becomes positive and the platform comes to a stop instantaneously. For the Last Paper Loop the loop For maximum Height of the start is 0.6m , the diameter d of first vertical loop must be smaller than ____0.48________ m For height of the second hill, h2, should _about__0.48______ and the radius of curvature r of the curve of the top of the hill should be _____large______. Otherwise , cart may leave the runway. 4 Activity: Merry-go-round Ground Measurements Determine the angular speed of the merry-go-round. 2. Total time for 5 revolutions in seconds:80econd 4. Calculate the angular speed : _____________________________ Merry-go-rounds Ride Measurements 1. There is a “lean” of the benches and on the poles that support the animals. When the ride is stationary, use your altitude tracker to determine the angle that an animal in the outer row makes with the vertical. While holding the tracker vertically, place it against the animal’s support pole, reading the angle between the washer and the zero mark on the tracker. Angle =________8___________________ 2. Measure the angle that an animal in the inner row makes with the vertical. Angle =____3______ 4. Do the same measurements on the very same animals while the ride is in motion. Inner angle:_____0______ Outer angle:___0____________ 5