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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- A block attached to a vertical spring oscillates up and down, the length of a spring is shown below. The mass of the block is 5.0 kg. What is the spring constant of the spring, in N/m? 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. L (m) 1.4 1.2 1.0- 0.8- 0.6 0.4 0.2 - 0.0 t (s) 6. 3.Using a stopwatch, you measure the period of a grandfather clock. Your results are 0.6, 0.6 and 0.7 sec. c. What is your best estimate of the error? d. What is your percent error? e. What is your fractional error? f. Write down your measurement for the period, and express the error in terms of ±.Drag each label to the correct location on the equation. Not all labels will be used. The time, 7. in seconds, a pendulum takes to move back and forth once is 2/7 times the square root of the length of the pendulum, L. in feet, divided by the square root of the acceleration due to gravity. 32 feet/second². Enter the correct values in the equation with respect to the motion of the pendulum. 207 T 32 L 882 7.29 0.55 If it takes the pendulum 1.5 seconds to move back and forth once, the length of the pendulum is approximately feet.
- 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.Give the expression for the frequency ?f of a simple pendulum of length ?L in the gravitational field strength ?g. Use the following notation (without the quotes): "/" for division, "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for ??‾‾‾‾√AB use sqrt(A*B). For Greek letters such as ?π, ?α etc. use pi, alpha. For example to get 1??2???‾‾‾‾√1πA2BAB use 1/pi*A^2/B*sqrt(AB). Please use the exact variables given in the conditions of the problem: e.g if ?L is given, then do not use ?l.
- A 52.6 cm-long pendulum takes 2.50 minutes to undergo 104.1 complete oscillation cycles. (a) Compute the pendulum's period (in s). (b) Determine the acceleration due to gravity (in m/s²) at the place where the pendulum is located. m/s²7 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.