What does it mean for the pendulum to have a small angle? How far does the...

What does it mean for the pendulum to have a small angle? How far does the period (T) of the pendulum differ from the linear model that we used to describe the pendulum as a function of initial angle? Note that for this one you will need to measure the period of a single swing of the pendulum. How can you / did you do this?

Expert Solution

It means that if the angle is small, then

is a valid approximation.

So the equation of motion , which is

can be approximated as

which is a now a simple harmonic oscillation equation.

First use the equation to find the time period, T1. (This equation is described in the question as "that used to describe the pendulum...", and is not given in the question. Assuming you have it from earlier exercise.)

Then using a stopwatch, note down the time taken for one swing. Repeat and take average=T2.

Now compare T1 and T2.

genius_generous answered 2 years ago

At what position does a pendulum have its maximum kinetic energy? At what position does a...

At what position does a pendulum have its maximum kinetic energy? At what position does a pendulum system have its maximum potential energy (Earth is in the system) ? Why must the angular displacement of a pendulum be relatively small? If a 3kg bowling ball were suspended from a 5m piece of fishing line, what would be the period of oscillation? Now, if instead of fishing line, that same 3kg bowling ball were suspended from a 5m cable with a...

What does it mean to have a critical lens? What does it mean to have a...

What does it mean to have a critical lens? What does it mean to have a gender/sex lens?

Discuss the t-test and how to interpret it. That is, what does a small t mean?...

Discuss the t-test and how to interpret it. That is, what does a small t mean? Large t? Also, mention briefly the difference between the one-sample t-test and the two-sample t-test.

What does train your brain mean as far as memory and study skills?

What does it mean to have a good life? What does it mean to be a...

What does it mean to have a good life? What does it mean to be a good person?

Hornworts have a “persistent” sporophyte. What does this mean? How does this happen?

How far does the pendulum bob (the ball at the end of the rope) travel in one complete cycle of motion if its length is 32.7 cm?

A pendulum (shown in the figure) sweeps out an angle of 22.7° during its motion. How far does the pendulum bob (the ball at the end of the rope) travel in one complete cycle of motion if its length is 32.7 cm?

What does it mean to have perfectly elastic demand? What does it mean to have perfectly...

What does it mean to have perfectly elastic demand? What does it mean to have perfectly inelastic demand? Graph each What factors effect the magnitude of the price elasticity of demand? What is meant by a proprietorship? What are its advantages and disadvantages? What is meant by a corporation? What are its advantages and disadvantages? What is meant by a partnership? What is its advantages and disadvantages?

Does Putin’s Russia have a “market economic system”? What does that mean, and how does it...

Does Putin’s Russia have a “market economic system”? What does that mean, and how does it differ from the alternative? What are the key (defining) characteristics of the present Russian economic system? How does this system affect the performance of the Russian economy and the economic welfare of the Russian people? What are the principle challenges/problems faced by that system?

if a ladder is 9 m long and 6.83 extended how far does the base have...

if a ladder is 9 m long and 6.83 extended how far does the base have to be

Question