Question: The period of a pendulum is given by T = 2 L/g where L is the length of the pendulum in feet, g is the

The period of a pendulum is given by T = 2 √L/g where L is the length of the pendulum in feet, g is the acceleration due to gravity, and T is the time in seconds. The pendulum has been subjected to an increase in temperature such that the length has increased by 1/2%.

(a) Find the approximate percent change in the period.

(b) Using the result in part (a), find the approximate error in this pendulum clock in 1 day.

Step by Step Solution

★★★★★

3.44 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 14... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

The period of a simple pendulum of length L feet is given by T = 2 L/g seconds. We assume that g, the acceleration due to gravity on (or very near) the surface of the earth, is 32 feet per second per...

The period T of a simple pendulum is given by T = 2 L/g where L is the length of the pendulum and g is the acceleration due to gravity. a. Assume g = 9.80 m/s2 exactly, and that L = 0.742 0.005 m....

The time T it takes for a pendulum to complete one full swing is given by where g is the acceleration due to gravity and L is the length of the pendulum. If g can be measured with a maximum error of...

9. The period T of a simple pendulum is given by T = 2 L/g, where L is the length of the pendulum and g is the acceleration due to gravity. Assume g = 9.80 m/s2 exactly, and L is measured to be 0.742...

4. The period of a pendulum is given by T = 3 1 , where L is the length of the pendulum in feet, 3 = 32 ftfsec2 7r 8' which is the force of acceleration due to gravity, and Tis the period of the...

The period of a pendulum is given by the equation shown below, where L is the length of the pendulum in feet, g is the acceleration due to gravity, and T is the time in seconds. T = 2 L g The...

Help The period T (in seconds) of a pendulum is given by T = 2 32 ) , where L stands for the length (in feet) of the pendulum. If 7 = 3.14, and the period is 15.7 seconds, what is the length? The...

HOMEWORK - GUIDED PHET INQUIRY FOR SIMPLE PENDULUM PHET LINK: HTTPS://PHET.COLORADO.EDU/SIMS/HTML/PENDULUM-LAB/LATEST/PENDULUM-LAB_EN.HTML Part 1 - Energy in a Pendulum (13 points) Pendulum Lab...

Determination of Value of g (acceleration due to gravity) Resources The Virtual Lab https://phet.colorado.edu/sims/html/pendulum-lab/latest/pendulum-lab_en.html Paper. Pencil, Calculator The Lab...

Describe the structure of the overall investment process. Explain the role played by financial institutions and financial markets.

Potassium-40 is a radioactive isotope of potassium that is present in the human body. How many neutrons are present in its nucleus?

java What type of value does Math.random ( ) return? Give an example of what a random value might look like.

18-3. What are the different types of letters of credit?

In Exercises (a) Find the inverse function of (b) Graph and -1 on the same set of coordinate axes (c) Describe the relationship between the graphs (d) State the domain and range of and - f(x)=x...

In Exercises (a) Find the inverse function of (b) Graph and -1 on the same set of coordinate axes (c) Describe the relationship between the graphs (d) State the domain and range of and - f(x) =...

In Exercises find the particular solution that satisfies the differential equation and the initial equations. f"(x) = 4 (x - 1) 2, f'(2) = 0, f(2)= 3,x > 1

Dell Inc. provided the following returns in the last three years: 4%, 8%, and 14%. What is the standard deviation of these returns? A. 5.39 B. 4.11 C. 5.03 D. 8.67

Coronado Company uses a job order cost system and applies overhead to production on the basis of ditect labor costs On january 1. 2022. Job 50 was the only job in process. The costs incurced prior to...

The financial statements of Colorado Outfitters include the following selected data ($ in millions): sales, $9.493; net income, $310: beginning stockholders' equity, $3,119; and ending stockholders'...