Two​ pulleys, one with radius r 1r1 and the other with radius r 2r2​, are connected by a belt. The pulley with radius r 1r1 rotates at omega 1ω1 revolutions per​ minute, whereas the pulley with radius r 2r2 rotates at omega 2ω2 revolutions per minute. Show that StartFraction r 1 Over r 2 EndFraction equals StartFraction omega 2 Over omega 1 EndFraction r1 r2

Answers

Answer 1

Answer:

r1/r2 = 2ω2/ω1

Step-by-step explanation:

The velocity of each pulley is expressed as v = ωr where;

v is the linear velocity of the pulley

ω is the angular velocity of the pulley

r is the radius of the pulley.

For the two pulleys, the velocity I'd both pulleys are the same.

v1 = v2

v1 is the linear velocity of first pulley

v2 is the linear velocity of the second pulley.

v1 = ω1r1

v2 = 2ω2(r2)

r1 and r2 is the radius of pulley 1 and pulley 2 respectively.

Since v1 = v2

ω1r1 = 2ω2(r2)

Divide both sides by r2

ω1r1/r2 = 2ω2(r2)/r2

ω1r1/r2 = 2ω2

Divide both sides by ω1

ω1r1/r2/ω1= 2ω2/ω1

r1/r2 = 2ω2/ω1


Related Questions

The solutions to the equation 2x2+x-1=2 are x=-3/2 or x=_

Answers

Answer:

the solutions are {1, -3/2}

Step-by-step explanation:

The given equation 2x^2 + x - 1 = 2 simplifies to 2x^2 + x - 3 = 0 if we subtract 2 from both sides.

We are told that -3/2 is a solution and must find the other solution   To do this, use synthetic division; if the remainder is zero, that tells us that -3/2 is actually a solution, and we can obtain the second solution easily, as follows:

-3/2     /     2       1        -3

                         -3        3

           -------------------------

                 2      -2        0

Since the remainder is 0, we have verified that -3/2 is a solution.  The coefficients of the other factor of the original equation are 2 and -2, and so this other factor is 2x - 2, or 2(x - 1).  Setting this result equal to zero yields x = 1.  

Thus the solutions are {1, -3/2}.

   

Answer:

1

Step-by-step explanation:

Took the Test edge 2021

Can someone help please :)
The least common multiple of 54 c^2 de^3 and 38 c^4 is _____.


A. 1,026 c^4
B. 342 c^4 de^3
C. 342 c^2
D. 1,026 c^4 de^3

Answers


The correct answer is 1,026 c^4 de^3.

Explanation: 1,026 is the lowest number both 38 and 54 go into. c^4 is the lowest that both go into. de^3 is also the lowest they all go into since de^3 is only in the first equation.

Answer:

The correct answer is 1,026 c^4 de^3.

Step-by-step explanation:

the graph represents a function with the form f(x)=asin(bx+c) which values of a,b, and c are possible

Answers

Answer:B

Step-by-step explanation: edge 2020

Select the line segment​

Answers

Answer:

It should be A

Step-by-step explanation:

If you need an explanation lmk

What is the scale factor

Answers

Answer:

1/3

Step-by-step explanation:

33/11=3

so its 1/3 of it

Answer:

1/3

Step-by-step explanation:

If you divide one of the sides in figure A by 3, then you will get the corresponding side for figure B.

So if I divide the uppermost side, which is 33units by 3, I will get the uppermost side in figure B, which is 11units.

Since dividing b 3 is like multiplying by 1/3 then the scale factor is 1/3

Which statement about the ordered pairs (3, -8) and (4, 4) is true for the equation 3x - y/4 = 11?

A. Neither ordered pair is a solution.

B. Both ordered pairs are solutions.

C. (4, 4) is a solution to the equation but not (3, -8).

D. (3, -8) is a solution to the equation but not (4, 4). ​

Answers

Answer:

Neither ordered pair is a solution.

Step-by-step explanation:

If we substitute an ordered pair which is the correct solution, we will obtain the value at the right hand side of the equation.

Now let us try it;

Substitute (3,-8)

3(3)-(-8)/4 = 9 +8/4 =17/4

Again;

3(4) - 4/4 = 8/4 =2

Hence, none of the ordered pairs is a solution.

x−y=−8 in slope intercept form

Answers

Answer:

-y=-x+-8

Step-by-step explanation:

Answer:

y = x + 8

Step-by-step explanation:

Slope-intercept form looks like y = mx + b.

We have X−y=−8 and need to solve this for y:

Change all signs, obtaining -x + y = 8

Add x to both sides, obtaining  y = x + 8

i will mark as brainliest
Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y = 9x, where x is the number of hours he works and y is the total amount he earns.

Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pay as shown in the table below.


Tuesday
Thursday
Saturday
Hours worked
6
8
5
Amount paid
$52.50
$70.00
$43.75

Which statement best describes the hourly rates?
The two jobs pay the same hourly rate.
The comparison cannot be made with the information given.
Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.

Answers

Answer:

Jason's job pays a higher hourly rate than Mia's lifeguard job.

Step-by-step explanation:

It tells that Jason gets paid $9/hour

now divide each amount Mia makes by the number of hours each day and you get the same amount of $8.75/hour.

Given h(x) = -x + 2, find h(4).

Answers

-2 Negative two is what I got

The value of the function h(x) at x equal to 4 is -2.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given function is  h(x) = -x + 2, the value of the function at x equal to 4 will be calculated as below:-

h(x) = -x + 2,

h(x) = -(4) + 2,

h(x) = -2

Therefore, the value of the function h(x) at x equal to 4 is -2.

To know more about a function follow

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What is the quotient of 2 3/4 and 7/8?

Answers

Answer:

Step-by-step explanation:

2 3/4 /7/8

11/4*8/7

88/28

If you convert 3/4 to a decimal you get .75 and then if you add the whole number you have, you get 2.75 and when you divide 78 by 2.75 you get 28.363636...

How do I solve 3 (9-5)² ÷8 ?

Answers

Answer:

3(9-5)^2 ÷8

3(4)^2÷8

3(16)÷8

3(2)=6

Answer:

6

Step-by-step explanation:

9-5=4

=4

3×4^2 ÷ 8

4^2=16

3×16 ÷8

3×16=48

48÷8=6

Solve the equation for x.


x2 = 9

Answers

Solution :

= 2x = 9

= x = 9 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )

= x = 4.5

Therefore , x = 4.5 .

x2=9
-2 -2
———
x=7

To answer this problem make sure you subtract 2 from each side and 7 is your answer.

If the Bills gained 4 yards on first down, then lost 6 yards on second down, then gained 10 yards on third down, how many yards did they actually move forward on that drive? (You can pretend they started at 0 yards to make it easier​

Answers

Answer:

8 yards

Step-by-step explanation:

4 - 6 = -2

-2 + 10 = 8


Convert the following equation into
slope-intercept form
4x - 6y = 42

Answers

Answer:

y=2/3x -7

Step-by-step explanation:

4x -6y=42

-4x     = -4x +42

     -6y= -4x + 42

      -6     -6     -6      divide both sides by -6

        y= 4/6x -7           simplify

        y= 2/3x -7

             

help please this for algebra 1​

Answers

Answer:

D. 1/3

Step-by-step explanation:

When you add 1/3 and 6 you get 6 1/3 so yeah

I think the answer would be D:)

In this fraction, which number is the denominator?
8
16
O A. 16
OB. 8

Answers

The answer is A Bc the bottom is the denominator

Find the product of each pair of complex conjugates.

(3 + 8i)(3 – 8i)

Answers

Answer:

73

Step-by-step explanation:

what is the greatest common factor shared by 10 and 40

Answers

[tex]\huge\bold\green{Answer:-}[/tex]

Greatest common factor (GCF) of 10 and 40 is 10.

GCF(10,40) = 10

[tex]\huge\bold\red{Explanation:-}[/tex]

We will now calculate the prime factors of 10 and 40, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 40.

Prime Factorization of 10

Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:

10 = 2¹ × 5¹

Prime Factorization of 40

Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:

40 = 2³× 5¹

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1, 2, 5

Factors of 40

List of positive integer factors of 40 that divides 10 without a remainder.

1, 2, 4, 5, 8, 10, 20

Greatest Common Factor

We found the factors and prime factorization of 10 and 40. The biggest common factor number is the GCF number.

So the greatest common factor 10 and 40 is 10.

The Greatest Common Factor of 10 and 40 is 5.

What is Greatest Common Factor?

The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)

For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

Given:

We have to find the greatest common factor of 10 and 40.

So factorizing each number

10 = 2 x 5

40 = 2 x 2 x 2 x 5

Here the common factor of 10 and 40 is

= 2 x 5

= 10

Thus, the Greatest Common Factor is 10.

Learn more about Greatest Common Factor here:

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What is the next number in the pattern below?

29, 28, 26, 23, 19

Answers

Answer:

14

Step-by-step explanation:

ive answered this

Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $1.25, and the total was $18.20, what was the price of one hot dog

Answers

Your answer is 1.65.

(may have a hard time explaining it)

SO, there are 8 hotdogs and 4 bags of chips, 4 times 1.25 is 5, and 18.20 minus 5 is 13.20, so the chips are out of the equation. Now all we must do is divide what's left (13.20) by 8:

13.20/8=1.65

Hope this helps, if not, comment down below please!!!

Is ABC = def if so name the postulate that applies

Answers

The triangles do not meet the criteria of any postulate, therefore, they might not be congruent.

What are Congruent Triangles?

There are criteria that can be used to show that two triangles are congruent to each other. They are:

ASA postulate: This says that two triangles are congruent if they have two pairs of congruent angles and one pair of included congruent sides.SAS postulate: This says that two triangles are congruent is they have two pairs of congruent sides and one pair of included congruent angles.HL postulate: If both triangles have equal hypotenuses and a pair of congruent corresponding legs, then they are congruent triangles based on this postulate.SSS postulate: both triangles are congruent if they have three pairs of congruent sides.

However, two triangles can have three pairs of congruent angles and may not necessary be congruent triangles.

The triangles in the image below shows that the two triangles have three pairs of corresponding congruent angles. This information is not enough to prove they are congruent.

The answer is, C. Might not be congruent.

Learn more about congruent triangles on:

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Derek has a bird that weighs 4 pounds. Use the double line diagram below to help you determine approximately how many kilograms this bird weighs. (2 points)

2 lines. The first line is labeled Pounds and has 6 marks, equally spaced apart, and every other mark labeled 3, 5, 7, respectively. The second line is labeled Kilograms and has 6 marks, equally spaced apart, and every other mark labeled, 1, 2, 3, respectively.

Group of answer choices

1.5 kilograms

2 kilograms

5 kilograms

7 kilograms

Answers

Answer:

2 killograms

Step-by-step explanation:

hope this helps :)

Answer:

2 2 2 it is 2

Step-by-step explanation:

The width of a rectangle is 1/4 its length. The perimeter of the rectangle is 375 ft. What is the length, in feet, of the rectangle? show evidence for your answer​

Answers

Answer:

300

Step-by-step explanation:

1W+4W=375

5W=375

W=75

75*4

I NEED HLP WITH THIS ASAP (TRY IT)

Answers

I’m confused on what the question is

Evaluate the expression when a= 1/4 and b=6

Answers

Answer:

b=24

Step-by-step explanation:

Given Sine (30 degrees) = one-half and Cosine (30 degrees) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction, use trigonometric identities to find the the value of cot(30°).

Answers

Answer:

D

Step-by-step explanation:

its right on edge

Answer:

D. \sqrt(3)

Step-by-step explanation:

What is 10 to the 5th power times 456

Answers

Answer:

45,600,000

Step-by-step explanation:

10 to the 5th power is 100,000 times 456 which is 45,600,000

Correct me if I am wrong

Hope this helps!

Drag the tiles to the correct boxes to complete the pairs. Match each division problem to its quotient. Tiles -34 ÷ 4.25 20 ÷ -4 -30 ÷ -6 33.6 ÷ 4.2 Pairs: 5 8 -5 -8

Answers

Answer:

Step-by-step explanation:

5= -33÷-6

8= 33.6÷4.2

-5= 20÷-4

-7= -34÷4.25

What is 100% written as a decimal?

Answers

Answer:

100 percent written as a decimal would just be 1

Step-by-step explanation:

For example, 50% is 0.50 in decimal form that would make 100% well, 1.0

Hope this helps and have a great day!

You got this :)

2. The ground below your feet moves at the rate at which
A. A rocket takes off
B. Sound travels
C. Your fingernails grow

Answers

I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!
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