1) The astronaut's sense of imbalance in a space flight is due to the rotation of a device in which he or she feels a fictitious gravity that mimics gravity. The the device rotates according to the mathematical equation: n =g^0.5/2πr^0.5 Where n is the rotational speed and is measured in rotations per second (s). (r) is the radius of the circulator and is measured in meters (m). (g) is a simulation of gravity. Calculate the rotation speed of a device, that has a radius of 1.7 meters and rotates to simulate the gravitational force which equals to: g = 9.8 m/s^2 with steps please

Answers

Answer 1

Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

[tex]n=\dfrac{g^{0.5}}{2\pi r^{0.5}}[/tex] ...(1)

Where n is the rotational speed and is measured in rotations per second (s).

r is radius of the circulator and is measured in meters (m).

We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

[tex]n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}[/tex]

Hence, the rotational speed is 0.38 rotation per second.


Related Questions

What is the rate
$150/25
written as a unit rate?
A.

$30/5
B.

$6/1


C.

$4/1
D.

$125/2

Answers

The answer is B, divide the rate by the unit to simplify

Answer:

B

Step-by-step explan

150 divide by 25

25 divide by 25

#12, what is this answer ?

Answers

Answer:

joan chris martin sara

Step-by-step explanation:

answer quickly !!! Pls

Answers

Answer:

(6 × 5) + (6 × 3) = 6 × (5 + 3)

Step-by-step explanation:

Since both 5 and 3 are being multiplied by 6, the total would be 6 multiplied by the sum of 5 and 3.

Ifa line segment has a length of 12 units and after a dilation the image
length is 4 units, what was the scale factor?
A. 1/3
B. 3
C. 8

Answers

Answer: Choice A) 1/3

================================================

Work Shown:

x = preimage length = 12

y = image length = 4

z = scale factor

z = y/x

z = 4/12

z = (1*4)/(3*4)

z = 1/3

The scale factor is 1/3.

This means the image is 1/3 of the length of the preimage.

Does Y= -2/3x + 3 & Y=2/3x + 2 have unlimited solutions?

Answers

Answer:

x = 3/4

y = 2.5

Step-by-step explanation:

No there is just one.

Equate the ys

-2/3 x + 3 = 2/3 x + 2                        Add 2/3 x to both sides

3 = 2/3 x + 2/3x + 2                          Combine

3 = 4/3 x + 2                                     Subtract 2

3-2 = 4/3 x                                        Multiply by 3

1 * 3 = 4x                                          Divide by 4

3/4 = x

====================

y = 2/3 x + 2

y = 2/3 * 3/4 + 2

y = 6/12 + 2

y = 1/2 + 2

y = 2 1/2

y = 2.5

what is the value of X with f (x) =4

Answers

Answer:

I can find all the x-values in the domain of the function f(x)=4:

Domain = (−∞, ∞), {x | x∈R}

Here’s the range if you need it:

Range: {4}

Hope this helps! :)

The answer is Range: {4} or,  x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

Here, we have,

f (x) =4

now,

we can find all the x-values in the domain of the function f(x)=4:

Domain = (−∞, ∞), {x | x∈R}

Here’s the range if you need it:

Range: {4}

There are x’s in the equation.

It’s actually all numbers are x’s because anything you put into the function f(x)=4, y will always equal 4.

So the value of x in f(x)=4 is all numbers.

To be more specific, all real numbers.

That’s why I put (−∞, ∞), {x | x∈R} because x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.

To learn more on number click:

brainly.com/question/17429689

#SPJ2

At the start of the month, Stephen’s savings account had a balance of $1,624. He made a $420 withdrawal each week for four weeks. During that month, he also made two deposits of $600 each and one deposit of $1,000. What was the balance in Stephen’s account at the end of the month?

Answers

Answer:

- 1625

Step-by-step explanation:

420 times 4 = 1680

1624 - 1680 = -56

-56 - 600 - 1000 = -1625

BRAINLIEST PLEASE

help me plz and i will give bairnlest frfrf and 30 points

Answers

Answer:

5,469

Step-by-step explanation:

Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?

Answers

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

(9×9)×{-5}÷2=.....please help​

Answers

Answer:

405/2

202 remainder 1

Step-by-step explanation:

pliz mark brainliest

Answer:

81×(-5)÷2

-202.5

-405 down 2 , -202 1down2

Step-by-step explanation:

did I got wrong? ?

Solve for A
Exact (no rounding, no calculator needed)

0 = A^2 + 13A + 36

Answers

Answer:

-4 or -9

Step-by-step explanation:

-a^2-13a-36=0

(-a-4)(a+9)=0

-a-4=0

a+9=0

a= -4, -9

The equation 2x-7=5+x has exactly one solution. True or false

Answers

Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

find the solution to the following system using substitution or elimination:
y = 3x + 2
y = -2x - 8
A. (-2, -4).
B. (-3/5, -34/5).
C. (-6/5, -8/5).
D. (1, 6)

Answers

Answer: A

Explanation:

Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.

It should be A (-2,-4). When using elimination.

Can anyone by chance know how to do these geometry questions?

Answers

my screen shows black pages there isn’t anything there for me?

Answer:

G is equal to (8, -11)

Step-by-step explanation:

We are given the midpoint and one end of the line segment.  We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:

[tex]G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11[/tex]

So the coordinates of endpoint G are (8, -11)

i genuinely don't understand . please help me asap

Answers

Answer:

48.17

Step-by-step explanation:

Umm.. i don't really have time to explain but

A^2+B^2=C^2

36^2+32^2=48.17

Solve the inequality 3(x - 7) + 2(4x + 9) > 0.

Answers

Answer:

x>3/11

3x - 21 + 8x + 18 >0

11x - 3 >0

11x >3

x>3/11

​​

Answer:

Step-by-step explanation:

3(x - 7) + 2(4x + 9) > 0

3x-21+8x+18>0

11x-3>0

11x>3

x>3/11

Billy Bob is filling his bathtub with water. At one minute, there are 5
gallons, at two minutes there are 8 gallons, and at 3 minutes there are
11 gallons of water in the tub.
If this pattern continues, how many gallons of water will be in the tub
at 7 minutes?

Answers

Answer:

There will be 23 gallons

Answer:

23 gallons

Step-by-step explanation:

the bathtub is filling by 3 more gallons every minute, 7-4=3, 4*3=12, 11+12=23

Help me pls ASAP thank you

Answers

Answer:

3rd option

Step-by-step explanation:

The input(x) does not repeat

pls answer quick !!!

Answers

Answer:

A = The greatest common factor would be 9.

B: 45+63= 9*(5+7)

Step-by-step explanation:

Answer:

b is 45+63=9(5+7)

Step-by-step explanation:

Once you know the GCF, you just need to find what the GCF (9 in this case), times what will get you 45 and 63. So we already know that 9 will be on the outside of the parentheses since it's what we're multiplying by. 9 times 5 is 45, so for the first number in the parentheses you'll put 5, and for the second, 9 times 7 is 63, so the second number in the parentheses is 7. You can check by solving it. 9(5+7). Use the distributive property and first you will do 9 times 5, which is 45, then 9 times 7 which is 63, so you'll get 45+63, which is correct.

Simplify 3(2y -1) + 2y

Answers

Answer: 8y -3

Step-by-step explanation:

3(2y -1) + 2y

6y -3 + 2y

8y -3

Answer:

8 y - 3

Step-by-step explanation - I got it from google so its right 100%

Who wants a lot of points
then answer this


C=
5
9
(F−32)

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

It should be b that should be it

what is the answer to X - 8 < -2

Answers

Answer:

X>6

Step-by-step explanation:

X-8<-2

X<-2+8

X>6

because the sign changed from negative to positive, the inequality has to be flipped

if one person has 3/4 0f your laundry what does kyle have?

Answers

Answer:

kyle has got 1/4 of your laundry xD

Step-by-step explanation:

laundry=1

3/4=1 person

1-3/4=1/4

so 1/4=kyle

Answer:

Kyle has 1/4 of the laundry.

Step-by-step explanation:

If one person has 3/4 that means there is 1/4 left.

 So, Kyle has 1/4 left to do.

I am solely here to brag!
I am officially a college student and only 14!
Next semester I will on top of my high school classes be taking college courses.
And by 11th grade be officially done with high school!

Answers

Answer:

That's wonderful!

Step-by-step explanation:

I'm really proud of you! I'm 14 (almost 15), and taking sophomore classes right now, and a foreign language. I absolutely regret not taking a second math class this year (Algebra II).

Help!!!!!!!!!! Thanks

Answers

Answer:

[tex]m=-1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-4, 0)

Point (-3, -1)

Step 2: Find slope m

Substitute:                     [tex]m=\frac{-1-0}{-3+4}[/tex]Subtract/Add:                [tex]m=\frac{-1}{1}[/tex]Divide:                           [tex]m=-1[/tex]

Which equation is not linear

A. -4x + 2y =7
B. x/4 =y
C. X=-5
D. 2/x + 3/y

[ that's / not a division it's a fraction bar]

Answers

The answer to this question is C.X=-5

which is another way to write 42 + 63?

Answers

Answer:

B

Step-by-step explanation:

The sum of 42 + 63 is equal to 105.

B is the only answer that matches the sum of 42 and 63.

7 * 15 = 105

:3))

The club sold shirts and capes to raise money for new stage equipment. The club sold each shirt for $20.00. The club made profit of $4.00 for each shirt. Sold. Part A: The drama club sold a total of $480.00 worth of shirts. How much profit did the club make from the shirt sale?

Answers

Answer:

The club made a profit of $96 from the shirt sale.

Step-by-step explanation:

First, you have to find the number of shirts sold by dividing the total amount sold by the price per shirt:

480/20=24

Now, that you know the number of shirts that were sold, you can multiply the profit per shirt for the number of shirts sold:

4*24=96

According to this, the answer is that the club made a profit of $96 from the shirt sale.

what is 3,910 divided by 25 using the power of 10
A: 25
B: 250
C: 25,000

Answers

Answer:

izuocha is superior

Step-by-step explanation:

Answer:

ochaochaochaocha

Step-by-step explanation:

sorry i trying to get attention from someone

Passing through
(1,2) and (5,10)

Answers

Step-by-step explanation:

equation of the line is

y =mX + C

to calculate m(slope) :

m= 10-2/5-1 = 2

to find C ....Substitute in eq. by one point

2= 2×1+C

C. = 0

So the eq. is

y=2X

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