A child sits on a merry-go-round, 1.5 meters from the center. The merry-go-round is turning at a constant rate, and the child is observed to have a radial acceleration of 2.3 m/s2. How long does it take for the merry-go-round to make one revolution

Answers

Answer 1

Answer:

5 .07 s .

Explanation:

The child will move on a circle of radius r

r = 1.5 m

Let the velocity of rotation = v

radial acceleration = v² / r

v² / r = 2.3

v² = 2.3 r = 2.3 x 1.5

= 3.45

v = 1.857 m /s

Time of revolution = 2π r / v

= 2 x 3.14 x 1.5 / 1.857

= 5 .07 s .

Answer 2

The merry-go round will take 5.07 s to complete one complete revolution.

Given data:

The distance of child from the center is, r = 1.5 m.

The magnitude of radial acceleration is, [tex]a = 2.3 \;\rm m/s^{2}[/tex].

Since, the child is on merry-go round, which is undergoing a rotational motion. And radial acceleration means that it is under the acceleration, whose value is given as,

[tex]a=\dfrac{v^{2}}{r}\\\\v=\sqrt{a \times r}[/tex]

Here, v is the linear velocity.

Solving as,

[tex]v=\sqrt{2.3 \times 1.5} \\\\v=1.857 \;\rm m/s[/tex]

Now, we to obtain the time taken by merry-go round to complete one revolution. Then the expression for the time taken to complete one revolution is,

[tex]T=\dfrac{2 \pi r}{v}\\\\T=\dfrac{2 \pi \times 1.5}{1.857}\\\\T = 5.07 \;\rm s[/tex]

Thus, we can conclude that the merry-go round will take 5.07 s to complete one revolution.

Learn more about the centripetal acceleration here:

https://brainly.com/question/14465119


Related Questions

1500 POINTS TO WHOEVER ANSWERS THIS FIRST!!!!!!!!!!

1. You drop a bowling ball 15m from the top of the science building. What is its
velocity as it impacts the ground?

2. A cheetah accelerates from 0 to 13m/s in 3 seconds. How far does it travel
during that time?

3. Your foolish friend shoots a bullet straight in the air at a muzzle velocity of
380 m/s. How high does the bullet go (neglecting air resistance)?

4. Your foolish friend shoots a bullet straight in the air at a muzzle velocity of
380 m/s. What is the bullets velocity when it falls back down and hits your
friend?

Answers

Answer: Multiply the time by the acceleration due to gravity to find the velocity when the object hits the ground. If it takes 9.9 seconds for the object to hit the ground, its velocity is (1.01 s)*(9.8 m/s^2), or 9.9 m/s.

Explanation:

What type of numbers in a measurement are always significant?

Answers

Answer:

Non-zero digits

Explanation:

umm (ꏿ﹏ꏿ;)

Answer:

There's three rules on determining how many important quantities are in a number: Non-zero digits are always predominant. Any zeros between two significant digits are always major. The final zero or dangling zeros in the decimal segment are really only important.

I hope this answered your question, have a nice day!

During the slowing down process, there is a time when the angular speed is 0.5 rev/s. The fan arm is 0.8 m long. What is the speed of a point on the end of the fan arm at this time

Answers

Answer:

2.51 m/s

Explanation:

Given that,

Angular speed of a fan, [tex]\omega=0.5\ rev/s = 3.14\ rad/s[/tex]

Length of the fan arm, r = 0.8 m

We need to find the speed of a point on the end of the fan arm at this time. Let v is the speed. It is given in terms of angular speed is given by :

[tex]v=r\omega\\\\v=0.8\times 3.14\\\\v=2.51\ m/s[/tex]

So, the required speed is 2.51 m/s.

Need help ASAP please help

Answers

Answer:

.....

Explanation:

asheed and Sofia are riding a merry-go-round that is spinning steadily (uniform circular motion). Sofia is twice as far from the axis as is Rasheed. Sophia's acceleration is _________ that of Rasheed. *

Answers

Answer:

The same as

Explanation:

First of all, they are in a merry go round, which is a circular one. And thus, we would be dealing with circular motions.

The angular velocity of a merry go round, in this instance, is given by

w = Δ/Δt

The formula has nothing whatsoever to do with distance, and as such, both Rasheed and Sofia would have the same angular velocity.

Transferring this further, the angular acceleration is given as

α = Δw/Δt

Remember I said the velocity has nothing to do with distance, well, so does the acceleration as we can see from the formula stated. And therefore, both Rasheed and Sofia would have the same angular acceleration

which property of potential energy distinguishes it from kinetic energy

Answers

Answer:

Shape and position

Explanation:

Hope this helps! :)

Other Questions
Because the ________of the Earth is pulling on air molecules andpressing it against the ground, our _______is thinner and thinnerthe higher up you go. Question # 6Math FormulaWhat is the output of this program? Assume the user enters 2, 5, 1, and 6. numA = 0for count in range(4): answer = input ("Enter a number: ") fltAnswer = float(answer) numA = numA + fltAnswerprint (numA) What effects did the migration of refugees from Saint-Domingue have on Louisiana during the territorial period? Check all that apply. It led to an increase in the overall population. It helped the region secure territorial status from the US. It contributed to the cultural diversity of the region. It led to the creation of more inclusive laws for free persons of color. It encouraged the growth of the sugar cane industry. Show how to find the following product using a diagram1/4 2/3 Examine the layers of rock. How does layering provide evidence for determining geologic age? Replacing one regular light bulb with acompact fluorescent bulb will save 151.56pounds of carbon dioxide per year. If youreplace 25 regular light bulbs, then howmany pounds of carbon dioxide will you saveper year? A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion. What are the last 3 digits of 5 to the power of 2020? BI Passive voiceRewrite the sentences and make them passivethe boxes next week.Z:1. They will send you How could the continent have gotten so far apart, and about how long it take for this to happen? Explain how to find the slope of the line. And explain answer 35, 28, 21, 14... write an explicit formula for the nth term a n Find the slope and y-intercept of the graph. y=5x-3 Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form. write and equation of the line that passes through the point (4, -2) and has a slope of -1/2. A baseball has serval properties. Write one property that a baseball has. complete sentences. Which statements are true about the California Safe surrender LawA.)can drop off the baby at a hospital or fire stationB.)must leave your name/Identification informationC.)must surrender baby within 72 hoursD.)you are not allowed to change your mind after surrendering the babyE.)as long as the newborn is surrendered safely, there is no prosecution What is the percent?32/80 = %/100 Nationalism is when a person supports their own countries interests, especially when it comes to competing against another country. How do you think Nationalism contributed to the onset of World War I? 1. X + Y = -22X Y = 62. X + Y = 5-2X + Y = -4