Consider two pendulums with lengths lj and l2. Express the ratio of their lengths /|/l2 in terms of periods T¡ and T2. When submitting your answer please keep in mind that, for example T²/T2 must be written as "T1^2/T2". Please use the "Display response" button to check you entered the answer you expect.
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- 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.A pendulum has a period of 5.8 s. If you were to transfer this pendulum to the surface of Mars (where g is 3.71 meters per second squared), what would the period (in seconds) be?You hang different masses M from the lower end of a vertical spring and measure the period T for each value of M. You use Excel to plot T2 (in s2) on the y-axis versus M (in kg) on the x-axis. The equation for the straight line that gives the best fit to your data is y = 0.0467x + 0.00400. (a) What is the mass of the spring? I found that the force constant of the spring is 845.362 N/m and for the mass of the spring I found it to be 0.085 kg (85.65 g) but it's wrong when I submit it. Am I doing something wrong?
- What should the length of a pendulum be (in m) in order to have a period of 7 seconds? (How do I find time using the period of the time pendalum? What equation can I use?)For 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 =?Consider two pendulums with lengths l1 and I2. Express the ratio of their lengths //l2 in terms of periods T1 and T2. When submitting your answer please keep in mind that, for example T2/T2 must be written as "T1^2/T2". Please use the "Display response" button to check you entered the answer you expect. Display response
- Please helpData Table 3: Varying Mass M of Pendulum, Measuring Period T. Set Length L = 0.80 m. Fix Angle e = 10° to release. Attach a screenshot of Data at M = 1.5 kg from the Simulation to lab report. !! %3D M (kg) 1.50 1.00 0.50 0.10 T (s) Question: What is your conclusion from Data Table 3?A clock is constructed so that it keeps perfect time when its simple pendulum has a period of exactly 1.000 s. The pendulum bob has length L = 0.2483 m and, instead of keeping perfect time, the clock runs slow by 1.506 minutes per day. (a) What is the free-fall acceleration (in m/s2) at the clock's location? (Give your answer to at least 3 decimal places.) ?m/s2 (b) What length of pendulum bob (in m) is required for the clock to keep perfect time? (Give your answer to at least 4 decimal places.) ?m