Example: Identify amplitude, period and frequency for this oscillation, then write an equation describing this graph: x (cm) 2 MA 0 2 How would the graph look different if the oscillation had twice the frequency?
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- Will you help me solve for g?You may also recall that for a simple pendulum N = V, where g is the acceleration due to gravity and L is the length of the pendulum. This has been inserted in Equation 4 above. Lastly, this means that angular position 0 of the pendulum is given by: 0 = 0, cos(Nt) Equation 5 Question 1 Use the information above and Equation 2 to write an equation for the period of the pendulum in terms of g and L.What is the amplitude of the oscillation shown in the figure? (Express your answer in centimeters to two significant figures) What is the frequency of the oscillation shown in the figure? (Express your answer in hertz to two significant figures)
- Consider a pendulum whose length is 22 ft. What is the formula for the period of oscillation for a pendulum? (Use the following as necessary: L for the length of the pendulum and g for the acceleration of gravity. Do not substitute numerical values; use variables only.) T = 2√ Determine the period in s. 4.4 x Your response differs from the correct answer by more than 10%. Double check your calculations. s What is the formula that shows the relationship between the natural frequency and the period of oscillation? (Use the following as necessary: T. Do not substitute numerical values; use variables only.) f = Determine the natural frequency in Hz. 0.227 Your response differs from the correct answer by more than 10%. Double check your calculations. HzWhat is the period of a pocket watch of mass m = 1.20 kg and length L = 0.356 m (14 inch), in second? Use g = 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.Question 2 the following equation refers to V-pendulum experiment T4 = (4x Lkl g?)-(8 nL/g² d, where: %3D L: length of the string (2 meters). T: pendulum periodic time d: distance between rods k: pendulum constant g: gravitational acceleration Given that the slope of the graph (T d) = -14.2 s/m, and y-intercept =13.5 s. Find the value for K: O 2.10 m O 19.1 m O 1.91 m 2.00 m
- 7 Part B Find the value of Javg- Express your answer to three significant figures and include the appropriate units. Javg P Submit μA Value Request Answer Units ZETE p ?Problem 3: The frequency of oscillation of a pendulum on a different planet is 3.3 Hz, and the acceleration due to gravity is 290 m/s2 Calculate, in meters, the length of the pendulum.A0.8 (Homework) For the graph of vx versus t shown, estimate the following: i) What is the slope of the tangent line at t = 0.6 ? ii) What is the slope of the tangent line at t = 1.0 ? iii) What is the slope of the tangent line at t = 1.4 ? 2 -1-
- Sketch is mendatoryA conical pendulum has length / and the angle made by the string with vertical is 0 = 38° . The mass of the object is m=140 g. If the period of the circula motion of the object is T=1.74s find the length of the string. Take g=10m/s. Round your answer to two decimal places. mFor Parts I and II, use the pendulum equation and solve to predict the length needed for a pendulum with a period of 1 s and 2 s respectively. Use a piece of string (or thread, dental floss, shoe lace, etc.) and a steel nut (or washer or something small but with enough mass to weigh down the string) to build each pendulum. Time each pendulum for 30 periods and then find the average time for one period. Remember, a period is the time to complete one cycle of motion, out and back. Tape each pendulum up in perhaps a doorway where it is stationary and has room to swing. Be precise with your measuring and timing. Show your work. Part I Given: T = 1.00 s l =? Part II Given: T = 2.00 s l =?