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’s the answer to this problem?

Answers

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation:

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation: becuase i got the awnser right on the question

please solve this i need this answer ​

Answers

Answer:

GHC

Step-by-step explanation:

Answer:

the co-interior angle of angle AGH is Angle GHC.

Plz need help rn What is m

Answers

Answer:

measure of angle p=

94

Step-by-step explanation:

ok 5 sided polygon= 540

so put all of those equal to 540

need to find x first

540=132+(4x-10)+(5x-11)+128+(4x+2)

simplify and combine like terms

x=23

now plug in for angle p

(4(23)+2)

94

PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x

Answers

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation:

What is the product of twenty hundredths and sixty-five thousandths

Answers

Answer:

0.013

Step-by-step explanation:

The product of twenty hundredths and sixty-five thousandths is 0.013.

Given that, the product of twenty hundredths and sixty-five thousandths.

What is the product of two fractions?

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their denominators / Product of their numerators.

Twenty hundredths = 20/100

Sixty-five thousandths = 65/1000

Product = 20/100 × 65/1000

= 2/10 × 65/1000

= 130/10000

= 13/1000

= 0.013

Therefore, the product of twenty hundredths and sixty-five thousandths is 0.013.

To learn more about the product of two fractions visit:

https://brainly.com/question/7335118.

#SPJ2

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answers

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

Solve: x^2-x-6=0
Show your wrok

Answers

Answer:x=-2

or

x=3The factors of which -6 which sum to -1 are -3 and +2(x-3) (x+2)=2Equate each factor to zero and solve for xx +2=0x=-2x-3=0x=3.

Identify the slope of the table​

Answers

Answer:

The alop is 4. Glad this helps.

Answer:

the slope is 4

Step-by-step explanation:

20 point question
simplify: −3x+2x-2y-5x+y+7y

Answers

Answer:

6y - 6x

I hope this helps!

Step-by-step explanation:

1. Find the like terms

-3x, 2x, -5x,

-2y, y, 7y

2. combine the like terms

-6x+6y

Help... pls ASAP Fill in the blanks

Answers

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

Time (min)           | 2 |  3 |  4 |   5  |   6 |

Water used (gal) | 8 | 12 | 16 | 20 | 24 |

Evaluate the expression when a= 3 and b = 43.
b-5a

Answers

Answer:

28

Step-by-step explanation:

PLS HELP!!
What is the volume of a cone with a radius of 5 inches and a height of 12 inches? (Use 3.14 for .)
942 cubic inches
314 cubic inches
376.8 cubic inches
125.6 cubic inches

Answers

Answer:

The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.

Step-by-step explanation:

i think thats it it was right on gogle

6.8 * 10(2)
*keep in note that "2" is an exponent in this question*

Answers

Answer:

68

Step-by-step explanation:

6.8 × [tex]10^2[/tex]

= 68

ASSIGNMENT DUE IN 30 MINS PLZ HELP!!!!
I WILL GIVE U BRAINLIEST!!!

Answers

I don’t understand sorry

How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?

A.
3y - X = -6
4y - x = 44

B.
3y + x = -6
4y + x = 44

C.
3y - 3x = -6
4y - 4x = 44

D.
3y + 3x = -6
4y + 4x = 44

Answers

Answer: c

Step-by-step explanation:

bc i said

how do you find the y - intercept (explain in sentences)

Answers

find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!

A washer and dryer cost $906 combined. The washer cost $56 more then the dryer. What is the cost of the dryer ?

Answers

906+56= 962. The dryer is $962

Answer:

It cost $397

Step-by-step explanation:

Because 906 divided by 2 equals 453 minus 56 equals 397

carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?

Answers

Answer:

24 pies

Step-by-step explanation:

Let x represent the number of pies and set up an equation:

6x = 3.75x + 54

Solve for x:

6x = 3.75x + 54

2.25x = 54

x = 24

So, Carrie and Joel have to sell 24 pies to break even

Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?

Answers

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

Find the measure of angle 1​

Answers

Answer:

∠1 = 116

Step-by-step explanation:

Find the inner angle first, the inner angle will be represented with x, also a triangle is 180 degrees, so:

57 + 59 + x = 180

116 + x = 180

subtract 116 from both sides

x = 64

So now u have the inner angle, and a straight line is also 180 degrees, so:

64 + ∠1 = 180

subtract 64 from both sides

∠1 = 116

The answer is 116
Explanation: here we are going to use external formula so we will do 57+59 which equals 116

The senior class at James High School is planning a trip to Orlando, Florida. The total cost for each student is $192.47. A local agency made a donation of $948.00. The money will be divided equally between the 24 seniors who are going. The senior class president, Ashley, has already saved $62.00. How much more must she earn to cover her cost of the trip?

Answers

Answer:

yyyyyyyyyy i neeed help to

Step-by-step explanation:

Answer:

it is. 90.97 option A

The price of a smartphone increased from $25 to $40. Find the percent
increase

Answers

Answer:60% increase

Source:trust me bro

Answer:

= 60% increase

Step-by-step explanation:

Pavel hiked 6 miles on a camping trip. He hiked 3 times as many miles on his next camping trip. How many miles did Pavel hike altogether on the two trips? Part 1: True or False: The equation below can be used to find the answer.

Answers

6x3=18+6=24
Where’s the equation below?

Answer:

24 miles

Step-by-step explanation:

Alright so 6 miles times 3 miles is 18, so 18 miles plus 6 miles is 24 miles so 24 miles all together.

PLEASE HELP!! WILL GIVE BRAINLIEST!!!

Answers

12 cups= 3 quarts

there ya goo

Someone help plz right answer gets brainliest

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

What do you need help with?

Solve x for me please I need it!!!

Answers

The answer is 56 hope this helps

Answer:

The angle x° = 34°

Step-by-step explanation:

Given the right-angled triangle

right angle = 90° Given the angle = 56°

We know that the sum of angles of a triangle = 180°

so

90° + 56° + x° = 180°

x° = 180°- 90° - 56°

x° = 34°

Therefore, the angle x° = 34°

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?


A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?


A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

The answer is 315 inches

Step-by-step explanation:

180+75%

Answer:315

Step-by-step explanation:

An engineer designed a new bridge and drew the scale drawing shown below. 6 Inches If the engineer used the scale 3 inch = 40 feet, how long is the actual bridge the engineer designed?​

Answers

Answer:

The bridge is 80 feet long

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The engineer used the scale 3 inch = 40 feet

∴ The scale drawing is ⇒ 3 inche :  40 feet

∵ The drawing length of the bridge is 6 inches

→ By using the ratio method

→  inch :  feet

→  3      :  40

→  6      :  x

→ By using cross multiplication

3 × x = 6 × 40

∴ 3x = 240

→ Divide both sides by 3

x = 80

∵ x represents the actual length of the bridge

The bridge is 80 feet long

There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !

Answers

Answer:

304.8 millimeters

Step-by-step explanation:

Answer:

0.003

Step-by-step explanation:

How much are these coins worth?

Answers

Answer:

$1.97

Step-by-step explanation:

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