1/ The graph below shows the movement of a ferris wheel. Determine the height of a rider on the ferris wheel after 12 minutes and 45 seconds bu looking at the graph (ie. do NOT come up with a sinusoidal function and substitute in t). Make sure you show your work and explain 10 6- 4- 2- 10 20 30 40 50 60 70 80 90 100 110 Time (s) Height (m)
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- Tuning Forks in Neurology Tuning forks are used in the diagnosis of nervous afflictions known as large-fiber polyneuropathies, which are often manifested in the form of reduced sensitivity to vibrations. Disorders that can result in this type of pathology include diabetes and nerve damage from exposure to heavy metals. The tuning fork here has a frequency of 170 Hz. vmax=1.55 m/sFind their maximum acceleration. Give your answer as a multiple of g.Example B: A 7.0 kg mass stretches a spring .60 m. a) Find the spring constant, k. b) What is the frequency with which the mass vibrates?Question 2 On a planet, an astronaut determines the acceleration of gravity be means of a pendulum. She observes that the 1 meter long pendulum has a period of 1.5 seconds. The acceleration due to gravity on this planet is?
- 1. An object suspended from a spring is oscillating up and down. It started this periodic motion when it was pulled down by 16cm from its rest position of 80cm above the floor and released. It returned to its rest position after 0.5 seconds and then continued upwards reaching its maximum height. a) Model this motion with a graph. b) Model its motion with the equation.Part A In one study of hummingbird wingbeats, the tip of a 5.0-cm-long wing moved up and down in simple harmonic motion through a total distance of 2.5 cm at a frequency of 40 Hz. What was the maximum speed of the wing tip? Express your answer with the appropriate units. НА ? Value Units Umax = Submit Request Answer Part B What was the maximum acceleration of the wing tip? Express your answer with the appropriate units. НА Amax = Value Units Submit Request Answer3. A motion detector is used to measure the horizontal distance between a person and a child on a swing. The data is shown in the graph. 401 3.6- 3.2- a) When is the distance changing at its fastest rate? Explain how you know. 2.8 E 24 2.0- 1.6- 12- 0.8- 0.4- b) What is the average rate of change from 0.5 seconds to 1 second? 0.5 1.0 15 2.0 Time (s) c) At what time is the rate of change 0? Explain how you know. d) Draw a tangent line at 1.5s and use it to estimate the instantaneous rate of change at that time. Distance (m)
- A pendulum swings back and forth from a string. When it is lying motionless it is y=6 ft from a nearby wall. When the pendulum is furthest from the wall, it is 9 ft. It takes 20 seconds to complete one cycle. Suppose you start timing the pendulum when it is furthest from the wall.a) Sketch a graph of this situation. b) Write an equation of this sinusoidal.45- A string of length 1 has a zero initial velocity and a displacement Yo (x) as shown. (This initial displacement might be caused by stopping the string at the center and plucking half of it.) Find the displacement as a function of x and t. yo(x)| 0 1/2
- q5I Review | Constants A 152 g ball is tied to a string. It is pulled to an angle of 3.8 ° and released to swing as a pendulum. A student with a stopwatch finds that 30 ocillations take 18 s. Part A You may want to review (Pages 405 - 407). How long is the string? Express your answer to two significant figures and include the appropriate units. µA L = Value Units Submit Request Answer9. Which of the following functions has the longest period? a. y = 6 sin(3x) + 20 b. y = 8 cos(2x) - 4 c. y = 7cos(x) + 13 d.y= 2 sin(0.5x) - 11