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A three-child operation

It took three children to operate this merry-go-round. One child sat on each end and the third child pushed it around and around as fast as possible.

Oops

We quickly learned that if we sat on the plank between the handle and the end of the plank and tried to hold ontothe handle, we would slide off the end of the plank when the rotation of the plank reached a certain speed. Therefore, we learned to sit with our legs across thehandle, with the handle pressing against the back insides of our knees. By doing this, we could survive without sliding off the plank no matter how fast the third child caused theplank to rotate.

Why am I telling you this?

Although I didn't understand it at the time, when the plank was rotating around its spindle at a relatively high rate of speed, the handle exerted a force on the inside of both knees. Inother words, the handle exerted a force on each leg in the direction of the center of the plank. This is a force that we will call a centripetal force .

Centripetal force

According to The Physics Classroom , any object moving in a circle (or along a circular path) experiences a centripetal force. That is, there is some physical forcepushing or pulling the object towards the center of the circle. This is the centripetal force requirement.

The word centripetal is merely an adjective used to describe the direction of the force. We are not introducing a newtype of force but rather describing the direction of the net force acting upon the object that moves in the circle. Whatever the object, if it movesin a circle, there is some force acting upon it to cause it to deviate from its straight-line path, accelerate inwards and move along a circular path.

A centripetal force on my body

The effect of this centripetal force was to cause my body to accelerate in the direction of the force, which was directly toward the spindle at the center of the plank.The spindle was at the center of the circle around which I was experiencing circular motion (although probably not uniform circular motion).

A weight on a string

Consider tying a weight, such as a full bottle of soda, to the end of a string. Then swing the bottle around and around above your head in anapproximate circle. You will feel a force pulling your hand toward the periphery of the circle, so you will exert a force on the string to keep the bottle fromflying away. The force that you exert on the string will be exerted on the bottle at the other end of the string and that force will be directed along thestring towards the center of the circle. That is the force that we will refer to as centripetal (center seeking) force, and that force will act on the mass ofthe bottle to cause the bottle to accelerate in the direction of the center of the circle.

What happens if the string breaks?

If the string breaks, there will no longer be a centripetal force acting on the bottle and it will fly off into space along a line that is tangential to itslocation on the circle at the instant the string breaks. It won't continue moving in a circle. Instead, it will move in a straight line until the resistance ofthe air and force of gravity bring it to a sudden stop on the ground. (Actually, it will move along a parabolic arc under the force of gravity until it strikesthe ground.)

Questions & Answers

What are the factors that affect demand for a commodity
Florence Reply
differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
hi guys good evening to all
Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
yes,thank you
Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
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Source:  OpenStax, Accessible physics concepts for blind students. OpenStax CNX. Oct 02, 2015 Download for free at https://legacy.cnx.org/content/col11294/1.36
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