While visiting the albert michelson exhibit at clark university, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every t = 6.2 seconds.
randomized variablest = 6.2 seconds
(a) calculate the frequency of oscillation (in hertz) of the chandelier.
(b) calculate the angular frequency ω of the chandelier in radians/second. sig. gif? tid=2n74-08-dd-43-8d37-13518no attempt no attempt25% part (c) determine the length l in meters of the chandelier. sig. gif? tid=2n74-08-dd-43-8d37-13518no attempt no attempt25% part (d) that evening, while hanging out in j. j. thompson’s house o’ blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the michelson exhibit except this one swings back and forth 0.11 seconds slower, so the period is t + 0.11 seconds. determine the acceleration due to gravity in m/s2 at the club.

a) 0,1613 Hz

b) 1,01342 rad/sec

c) 9.5422 m

d)

Explanation:

In the Albert Michelson exhibit at Clark University, we know the period of oscillation of the chandelier is T = 6.2 seconds

The chandelier will be modeled as a simple pendulum

a) Since the frequency is the reciprocal of the period, we have

b) The angular frequency is computed as

c) The period of a simple pendulum is given by

Where L is its length and g is the local acceleration of gravity (assumed 9.8 for this part)

We want to know the length of the pendulum, so we isolate L

d) While hanging out in J.J. Thompson’s House O’ Blues, the new period is 6.2+0.11=6.32 sec. Since the chandelier is the very same (same length), we can assume the gravity is slightly different. We use again the formula for T, but now we'll isolate g as follows

Which results  

carbon is found in all living things. carbon atoms move constantly through

living organisms, the oceans, the atmosphere, and the earth’s crust in what is

known as the carbon cycle. the directions taken by carbon atoms through this

cycle are very complicated and can take millions of years to make a full circle.

all animals, from humans to the dinosaurs are part of the carbon cycle. when

animals eat food, they get carbon in the form of carbohydrates and proteins.

in animals, oxygen combines with food in the cells to produce energy for daily

activity and then gives off carbon. the carbon combines with oxygen to form

carbon dioxide (co2) and is released back into the atmosphere as a waste

product when animals breathe and exhale.

from 145-65 million years ago, earth was much

hotter than today and covered with dense,

tropical swamp forests. the trees and other

plants were immense and

provided an endless supply of

food for the giant animals that

roamed the land. somewhere in

the air above one of these

forests, a lone carbon atom has joined

up with two oxygen atoms to form a molecule of co2.

the co2 molecule was sucked into the tiny holes (stomata) on the leaf of a

fern plant and joined with sunlight, chlorophyll and water to make food and

energy in the plant’s cells through photosynthesis. the oxygen (o2) from the

co2 molecule was sent back into the atmosphere; the carbon atom (c) was

detached and used to make a molecule of sugar.

if that carbon atom had been eaten instead, a totally

different situation would have developed. let’s say

that a giant plant-eating dinosaur (herbivore) ate the

fern for breakfast, and swallowed the carbon in the

fern in the form of carbohydrates and proteins. in

the process of respiration, oxygen combined with

the carbohydrates and proteins in the dinosaur’s cells

to provide energy for its daily activity.