Knowee
Questions
Features
Study Tools

Consider the relationship between the length of a pendulum and its period, how could we plot measurements of length and period in order to obtain a straight line?Question 4Answera.L vs Tb.T vs Lc.L2 vs Td.L vs T2

Question

Consider the relationship between the length of a pendulum and its period, how could we plot measurements of length and period in order to obtain a straight line?Question 4Answera.L vs Tb.T vs Lc.L2 vs Td.L vs T2

🧐 Not the exact question you are looking for?Go ask a question

Solution

The relationship between the length of a pendulum (L) and its period (T) is given by the formula T = 2π√(L/g), where g is the acceleration due to gravity. This is not a linear relationship, so plotting L vs T or T vs L would not give a straight line.

However, if we square both sides of the equation, we get T^2 = 4π^2(L/g). This is a linear relationship between T^2 and L. Therefore, if we plot L (length of the pendulum) on the x-axis and T^2 (square of the period) on the y-axis, we should get a straight line.

So, the correct answer is d. L vs T^2.

This problem has been solved

Similar Questions

What is the period of a simple pendulum that is 1.13-m long in each situation?  In the physics lab

The period of a pendulum is the time the pendulum takes to swing back and forth one full time. The function I = 0.81t2 relates the length l in feet of a pendulum to the time t in seconds that it takes to swing back and forth. The convention center in Portland, Oregon, has the longest pendulum in the U.S. The pendulum's length is 90 ft. Find the period for this pendulum.

a) The period of a simple pendulum is T = 2𝜋L/g where L is the length of the pendulum and g is the acceleration due to gravity at the pendulum's location. Thus, if a pendulum has a period of T = 1.9 s on Earth where gEarth = 9.8 m/s2, its length isLEarth  =  gEarthT24𝜋2    =  m/s2 s 2 4𝜋2    =  m = cm

Suppose a simple pendulum is used to measure the acceleration due to gravity at various points on the Earth. If g varies by 0.145% over the various locations where it is sampled, what is the corresponding variation in the period of the pendulum? Assume that the length of the pendulum does not change from one site to anothe

A grandfather clock uses a physical pendulum to keep time. The pendulum consists of a uniform thin rod of mass M = 1.61 kg and length L = 0.153 m that is pivoted freely about one end, with a solid disk of mass 3M and a radius of L4𝐿4 attached to the free end of the rod.  Determine the length L that gives a period of T = 2.45 s

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.