Homework Answers
% error = (| theoretical value - experimental value | / theoretical value) * 100
% error = (| 0.5 - 0.5054143 | / 0.5) * 100
% error = 1.08 %
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Step 10: The time period for a pendulum is given by: L We already discovered the...
1. A simple pendulum has a length L= 55.0cm. What is its theorietical period? 2. You...
1. A simple pendulum has a length L= 55.0cm. What is its theorietical period? 2. You time 20 oscillaions of the pendulum in the above question, the total time is 29.50s. What is the experimental period? 3. According to equation 1: T=2pi (sqrt)L/9 , what type of curve would you expect if you were to plot period vs. Lemnth? Provide a rough sketch.
Calculus question please help <3 . (ignore the working) 4. The period of a pendulum is given by T = 2 π l-where l is the length of the pendulum and g is the acceleration due to gravity. Suppose I =...
Calculus question please help
<3 . (ignore the working)
4. The period of a pendulum is given by T = 2 π l-where l is the length of the pendulum and g is the acceleration due to gravity. Suppose I = 5 feet feet with a maximum error of 0.01 feet .01 feet and T = 2 seconds with a maximum error of 0. 05 seconds Use differentials to estimate the maximum error of g Hint: solve for g first....
The period of a pendulum (i.e. the time it takes to swing back and forth over...
The period of a pendulum (i.e. the time it takes to swing back and forth over one cycle of motion) can credibly be believed to depend on both the length of the pendulum and the acceleration due to gravity. We can write this as Where C is some unknown constant, L is the length of the pendulum, g is the acceleratio lue to gravity, and x and y are unknown. Using dimensional analysis, determine how T lepends on L and...
Pre-Lab Q2: Consider the equation you will use to calculate the period of your pendulum. For...
Pre-Lab Q2: Consider the equation you will use to calculate the period of your pendulum. For each scenario below, determine how an error in your length measurement (L) would affect your predicted period value (T) SCENARIO 1: You measured the pendulum length (L) to be LARGER than the actual value. As a result your predicted period (T) will be a. i. ii. LARGER than the actual value. SMALLER than the actual value. b. SCENARIO 2: You measured the pendulum length...
THE SIMPLE PENDULUM Pre-Lab 1. State the objectives of this experiment. 2. How do you measure...
THE SIMPLE PENDULUM Pre-Lab 1. State the objectives of this experiment. 2. How do you measure the length of a simple pendulum? 3. Define period of a simple pendulum in words. 4. The period of a simple pendulum is related to its length and the acceleration of gravity in an equation. Write down that equation. 5. What is the amplitude of a simple pendulum? 6. What does the period of a simple pendulum depend on? 7. True or false The...
Question 1 The following quiz will refer to the simple pendulum data given below. You should...
Question 1 The following quiz will refer to the simple pendulum data given below. You should complete the experimental procedure before you attempt this quiz. data table when m = 100 g. L (in meters) T (experimental in seconds) T (from formula in seconds) % error 1.00 1.8 T1 = error1 = .75 1.5 T2 = error2 = Question 1: The period of oscillation increases with the length of the pendulum. True False Question 2 From the experimental procedure we...
step 15 it says that we have to divide the time by 10. how the calculation...
step 15 it says that we have to divide the time by 10.
how the calculation is done for given column (time for 10 swings).
please show work.
Angle Time for 10 Swings Period (s) 00 19.93 8 HS 0o 19.9 55s oos 9. Click on the pause button at the bottom of the screen. It looks like a button with two parallel lines 10. Next, grab the pendulum and pull it back to to your first chosen angle. It...
i would like help to write a program to run the following application in visual studio C++, CLR empty project Borough of Manhatan Community College The City University of New York SCIENCE DEPA...
i would like help to write a program to run the following
application in visual studio C++, CLR empty project
Borough of Manhatan Community College The City University of New York SCIENCE DEPARTMENT Laboratory Experiment ACCELERATION DUE TO GRAVITY USING A SIMPLE PENDULUM To calculate the value of the acceleration due to gravity by measuring the period of a pendulum with four different lengths. Apparatus Drilled steel ball, string, clamp, support to hold pendulum apparatus, meter stick, and timer Theory:...
Length L (m) Time period T(sec) 0.8 0.3 0.45 0.61 0.75 0.91 1.03 1.2 1.35 1.3...
Length L (m) Time period T(sec) 0.8 0.3 0.45 0.61 0.75 0.91 1.03 1.2 1.35 1.3 1.7 1.9 2.0 2.2 2.3 The time period (time for one oscillation) of a simple pendulum depends on the length of pendulum. This above data set includes time periods T for different length of pendulum. Show the final form of functional dependence of time period T on L. For functional dependence, repeat the analysis using pre-made graph to find value of n.
The period T of a pendulum with length L meters that makes a maximum angle of...
The period T of a pendulum with length L meters that makes a maximum angle of θ0 with the vertical is The vertical is: T= 4\sqrt{\frac{L}{9}}\int _0^{\frac{\pi }{2}}\frac{dx}{\sqrt{1-k^2sin^2x}} where k=sin((1/2)θ0) and g=9.8 m/sec2 in the acceleration due to gravity. (a) Find the first four terms of a series expansion for T by expanding the integrand using the binomial series and integrating term by term (your answer will include L, g, k). You may use the following integration fact: The integration...
Calculus question please help
<3 . (ignore the working)
4. The period of a pendulum is given by T = 2 π l-where l is the length of the pendulum and g is the acceleration due to gravity. Suppose I = 5 feet feet with a maximum error of 0.01 feet .01 feet and T = 2 seconds with a maximum error of 0. 05 seconds Use differentials to estimate the maximum error of g Hint: solve for g first....
The period of a pendulum (i.e. the time it takes to swing back and forth over one cycle of motion) can credibly be believed to depend on both the length of the pendulum and the acceleration due to gravity. We can write this as Where C is some unknown constant, L is the length of the pendulum, g is the acceleratio lue to gravity, and x and y are unknown. Using dimensional analysis, determine how T lepends on L and...
Pre-Lab Q2: Consider the equation you will use to calculate the period of your pendulum. For each scenario below, determine how an error in your length measurement (L) would affect your predicted period value (T) SCENARIO 1: You measured the pendulum length (L) to be LARGER than the actual value. As a result your predicted period (T) will be a. i. ii. LARGER than the actual value. SMALLER than the actual value. b. SCENARIO 2: You measured the pendulum length...
THE SIMPLE PENDULUM Pre-Lab 1. State the objectives of this experiment. 2. How do you measure the length of a simple pendulum? 3. Define period of a simple pendulum in words. 4. The period of a simple pendulum is related to its length and the acceleration of gravity in an equation. Write down that equation. 5. What is the amplitude of a simple pendulum? 6. What does the period of a simple pendulum depend on? 7. True or false The...
step 15 it says that we have to divide the time by 10.
how the calculation is done for given column (time for 10 swings).
please show work.
Angle Time for 10 Swings Period (s) 00 19.93 8 HS 0o 19.9 55s oos 9. Click on the pause button at the bottom of the screen. It looks like a button with two parallel lines 10. Next, grab the pendulum and pull it back to to your first chosen angle. It...
i would like help to write a program to run the following
application in visual studio C++, CLR empty project
Borough of Manhatan Community College The City University of New York SCIENCE DEPARTMENT Laboratory Experiment ACCELERATION DUE TO GRAVITY USING A SIMPLE PENDULUM To calculate the value of the acceleration due to gravity by measuring the period of a pendulum with four different lengths. Apparatus Drilled steel ball, string, clamp, support to hold pendulum apparatus, meter stick, and timer Theory:...
Length L (m) Time period T(sec) 0.8 0.3 0.45 0.61 0.75 0.91 1.03 1.2 1.35 1.3 1.7 1.9 2.0 2.2 2.3 The time period (time for one oscillation) of a simple pendulum depends on the length of pendulum. This above data set includes time periods T for different length of pendulum. Show the final form of functional dependence of time period T on L. For functional dependence, repeat the analysis using pre-made graph to find value of n.
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