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.
Homework Answers
(1) The time period is
(2) The experimental time period is
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1. A simple pendulum has a length L= 55.0cm. What is its
theorietical period?
2. You...
The period T of a simple pendulum with small oscillations is calculated from the formula T=2pi sqrt(L/g) where L is the...
The period T of a simple pendulum with small oscillations is calculated from the formula T=2pi sqrt(L/g) where L is the length of the pendulum and g is the acceleration due to gravity. suppose that measured values of L and g have errors and are corrected with new values where L is increased from 4m to 4.5m and g is increased from 9 m/s2 to 9.8 m/s2. Use differentials to estimate the change in the period. Does the period increase...
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...
Step 10: The time period for a pendulum is given by: L We already discovered the...
Step 10: The time period for a pendulum is given by: L We already discovered the relationship between the time period and the length of the pendulum (keeping the gravity fixed) in Step 7 above. The equation we used to fit the data was: T=Mx LB Where "x" in Step 7 was the pendulum length L. Comparing the two equations above, you would expect that: 2 -.5 M= a Use the experimental value from Step 7 above and the actual...
An expression for the period of a simple pendulum with string length ℓ derived using calculus...
An expression for the period of a simple pendulum with string
length ℓ derived using calculus is T = 2(pi)sqrt{ ℓ /g } . Where g
is the acceleration due to gravity. Use the data in the table to
decide whether or not the pendulum in the experiment can be
considered a simple pendulum. Explain your decision.
Suppose have the ability to vary the mass m of the bob and the length f of the string. You decide to to...
4) a) Calculate the period of a simple pendulum if the length of the string is...
4) a) Calculate the period of a simple pendulum if the length of the string is g on the moon. gon Moon is 16of g on Earth. gon Earth = 9.8 m/s: 1.5 meter? b) Calculate the period of the simple pendulum if you take to Mars. g on Mars 3.7 m/s What is the ratio of the period of the above simple pendulum to the period of a simple pendulum which is 4 times longer? b) d) What happens...
Problem 11.47 1. If a pendulum has a length L and you want to double its...
Problem 11.47 1. If a pendulum has a length L and you want to double its frequency, what should be its length in terms of L? 2. Suppose a pendulum has a length L and period T on earth. If you take it to a planet where the acceleration of freely falling objects is twenty times what it is on earth, what should you do to the length to keep the period the same as on earth? 3. If you...
1. Consider a physical pendulum with length 0.68 m and mass 0.200 kg. If the pendulum...
1. Consider a physical pendulum with length 0.68 m and mass 0.200 kg. If the pendulum was released form an angle of 10*, then calculate the angular speed of the pendulum. (gravity= 9.8 m/s^2). [I tried using the formula: 2pi/L to get 2pi/0.68 = 9.24 but this is NOT correct.] 2. Suppose that you are on an unknown planet in a distant galaxy. Let the length of a physical pendulum be 0.53 m. In the physical pendulum experiment, the period...
Calculus Pendulum Problem(PLEASE HELP) uses differentials and derivatives
The period of a simple pendulum of length L feet is given by: T=2pi(sqrt(L/g))seconds. It is assumed that g, the acceleration due to gravity on the surface of theearth, is 32 feet per second per second. If the pendulum is a clock that keeps good time when L=4 feet, how much time will the clock gain in 24 hours if the length ofthe pendulum is decreased to 3.97 feet? (Use differentials and evaluate the necessary derivative at L=4 feet.) Answer...
Problem 1 (6 pts): A small bob of mass 0.4kg is attached to the end of a string of length 1.50 m to form a simple pendulum. It is displaced through an angle of 15.0° and then released at time t-0s. T...
Problem 1 (6 pts): A small bob of mass 0.4kg is attached to the end of a string of length 1.50 m to form a simple pendulum. It is displaced through an angle of 15.0° and then released at time t-0s. The angular position of the pendulum for small angles is described with: e) Sketch a θ vs. t graph for at least two cycles, starting at t-0s. Place numbers on the t-axis. Place a dot on the curve at...
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...
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 10: The time period for a pendulum is given by: L We already discovered the relationship between the time period and the length of the pendulum (keeping the gravity fixed) in Step 7 above. The equation we used to fit the data was: T=Mx LB Where "x" in Step 7 was the pendulum length L. Comparing the two equations above, you would expect that: 2 -.5 M= a Use the experimental value from Step 7 above and the actual...
An expression for the period of a simple pendulum with string
length ℓ derived using calculus is T = 2(pi)sqrt{ ℓ /g } . Where g
is the acceleration due to gravity. Use the data in the table to
decide whether or not the pendulum in the experiment can be
considered a simple pendulum. Explain your decision.
Suppose have the ability to vary the mass m of the bob and the length f of the string. You decide to to...
4) a) Calculate the period of a simple pendulum if the length of the string is g on the moon. gon Moon is 16of g on Earth. gon Earth = 9.8 m/s: 1.5 meter? b) Calculate the period of the simple pendulum if you take to Mars. g on Mars 3.7 m/s What is the ratio of the period of the above simple pendulum to the period of a simple pendulum which is 4 times longer? b) d) What happens...
Problem 1 (6 pts): A small bob of mass 0.4kg is attached to the end of a string of length 1.50 m to form a simple pendulum. It is displaced through an angle of 15.0° and then released at time t-0s. The angular position of the pendulum for small angles is described with: e) Sketch a θ vs. t graph for at least two cycles, starting at t-0s. Place numbers on the t-axis. Place a dot on the curve at...
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