One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.
So we have
1 rev = 26π cm
1 rev = 2π rad
1 min = 60 s
(a) The angular velocity of the wheel is
(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s
or approximately 3.665 rad/s.
(b) The linear velocity is
(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s
or roughly 47.648 cm/s.
The angular velocity of the wheel is 3.665 radians/sec.
The linear velocity is the hamster running is 47.648 cm/sec.
GivenA hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.
What is angular velocity?Angular Velocity It is defined as the rate of change in angular displacement of a particle in a circular motion.
The angular velocity of the wheel is given by;
[tex]\rm 1 \revolution = 2\pi \ radians\\\\Angular \ velocity = 35 \times 2\pi \ radians \ per \ minute\\\\Angular\ velocity = 70\pi \ radians \ per\ minute\\\\1 \ min = 60\ second\\\\Angular \ velocity = 70\pi \times \dfrac{1}{60} \\\rm \\Angular \ velocity = \dfrac{7}{6} \times 3.14 \ radians \ per \ second\\\\Angular \ velocity = 3.65\ radians \ per \ second\\\\[/tex]
The angular velocity of the wheel is 3.665 radians/sec.
What is linear velocity?Linear velocity definition deals with the measurement of an object’s velocity when it moves along a specific direction.
The linear velocity is the hamster running is given by;
[tex]\rm Linear \ velocity = 35 \times 26\pi \times \dfrac{1}{60}\\\\Linear \ velocity = 35 \times 26 \times 3.14 \times \dfrac{1}{60}\\\\ Linear \ velocity =47.648 \ cm \ per \ second[/tex]
The linear velocity is the hamster running is 47.648 cm/sec.
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Write an expression for one-sixth of 4x
Answer:4x=1/6
because of how its written you would be multiplying 4x by 1/6 if they asked you to solve it. but since they asked you to write the equation all you have to do is put 4x on one side of the equal sign and 1/6 on the other so if they ask you to solve it all you have to do is multiply both sides by 1/6
-5 -10=10 I need help urgently!!
Answer:
5
Step-by-step explanation:
-5 minus -10 = 5
l m a o i used a calculator. Is ur problem even -5 minus -10?
Answer: x - 15
It would be x - 15 x - 5 - 10 = x - 15 - x (subtract x from both sides)(simplify) -5 - 10 = -15= x - 15 = -15Point L is on line segment KM . Given KM = 5x + 10 , LM = 4x , and KL = 3x , determine the numerical length of KL
Answer:15
I know Bc I got it wrong that was the answer
Solve for x in simplest form. 7=8/5 (3x+5)
Answer:
7=8/5 (3x+5)
or (7*5)= 24x + 40
or 24x = -5
x = -5/24
Step-by-step explanation:
Explain how solving -7y > 161 is different from solving 7y > -161
Answer:
Sample response:
Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>
what's -2 divided by -2
Answer:
1
Step-by-step explanation:
simple math..
5. Danny is selling cornhole boards to raise money for a local charity. He rents a booth at the state fair for $250. He sells the boards for $45. It costs him $20 to make each board. How many boards must Danny sell to break even for the cost of renting a booth? *
Answer:
10 boards
Step-by-step explanation:
$450-$250=$200. $20 * 10 boards = $200. $200-$200=0.
Therefore the answer is 10 boards
Answer:10
Step-by-step explanation:
please help needed asap!!
Answer: 55
Step-by-step explanation:
90+x+15+3x-5=180
Combine like terms
100+4x=180
Subtract 100 from both sides
4x=180
Divide by 4
X=20
Insert into equation
3(20)-5
=55
Round the following numbers to 2 decimal places 3526.48502 12.6433 0.2099
Step-by-step explanation:
3526.49 12.64 0.21
I hope this helps
Answer:
3526.49
12.64
.21
Step-by-step explanation:
1. On the left of the decimal place, take the third number and if it is = to or higher than 5, round the second number up by 1.
3526.485 becomes 3526.49
2. If it is lower than 5, then just leave the second number alone.
12.6433 becomes 12.64
3. If it is a decimal place number, just take the third number and if it is higher than 5, increase the second number.
.2099 becomes .21
Which is the best answer for how many
word Lucy can type in 27 minutes?
Answer:
i need more information to answer this question
Step-by-step explanation:
Solve the quadratic equation by completing the square.
x2 + 8x + 19 = 0
What’s the answer ? Math algebra 2
Answer: x= 4 ± [tex]\sqrt{-3}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex] + 8x + 19 = 0 First subtract 19 from both sides
-19 -19
[tex]x^{2}[/tex] + 8x = -19 Now to complete the square on the left side you will divide 8 by 2 and square the number that you will get and add it to both sides. If you divide 8 by 2 you get 4 and 4 squared is 16 .So add 16 to both sides.
x^2 + 8x + 16 = -19 + 16 Now factor the left side
(x+4)^2 = -3 Take the square root of both sides
(x+4) = ±[tex]\sqrt{-3}[/tex]
Subtract 4 from both sides
x = ±[tex]\sqrt{-3} - 4[/tex]
Shania is making an apricot drink for her 4 friends and needs 1/9 of a gallon of water to make the apricot drink. How much of the gallon of water will be in each of the 4 drinks?
answer:
4/9ths of a gallon
step-by-step explanation:
1/9×4 .change whole number to fraction: 1/9×4/1. multiply the numerators and the denominators together. 1×4 and 9×1. 1×4=4 and 9×1=9 so the answer is 4/9
What is 10 to the -6th powert 10^-6 a. 0.000001 b. 100000 c. 1000000 d. 0.0000001 Easy points for you guys
Answer:
The answer is D
Step-by-step explanation:
When the exponent is negative then you go in to decimals
Answer:
since its a negative number you need to to go to the decimals> therefore the answer would be (D)
Newton is thinking of a 6-digit number in which all of the digits are the same. The value of the digit in the thousands place is 8,000. What is Newton's number?
Answer:
Newton’s number is 888888
Step-by-step explanation:
Here, we want to write the Digit in which Newton is thinking of.
The information we have at hand is that, there are 6 numbers which are the same in this digits.
Now let’s look at the other information. The value of the thousand figure is 8,000. What this practically means is that the digit at the thousand place is simply 8.
Since all the digits are same, the digit he is thinking of will be 888888
what's the square root of 1/36?
The square root of the number is A = 1/6 = 0.16667
Given data ,
Let the first number be represented as p
where the value of p = 1/36
Now , the square root of the number is expressed as
A = √p
The radical form of a number refers to expressing a number using a radical symbol (√) to represent a root.
It is used to express the roots present in the number.
So , A = √( 1/36 )
On simplifying , we get
A = 1/6
On further simplification , we get
A = 0.166667
Hence , the square root is A = 1/6 = 0.16667
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Give the center and radius of the circle.
x2 + y2 = 25
(2.3) r=5
(0.0) r=5
(0,0) r=25
(3.2) r=25
Answer:
x=√−y2+25 or x=−√−y2+25
Step-by-step explanation:
x2+y2=25
Step 1: Add -y^2 to both sides.
x2+y2+−y2=25+−y2x2=−y2+25Step 2: Take square root.
x=√−y2+25 or x=−√−y2+25Answer:
x=√−y2+25 or x=−√−y2+25
Solve for w: -4u-w = u+6w
Answer:
A
Step-by-step explanation:
-4u - w = u + 6w
-4u = u + 7w (Add w to both sides)
-5u = 7w (Subtract u from both sides)
w = [tex]-\frac{5u}{7}[/tex] (Divide both sides by 7)
Answer:
w=(-5u)/7
Step-by-step explanation:
-4u-w=u+6w
Combine like terms
-4u-u=6w+w
-5u=7w
Divide both sides by 7 to cancel it out on the right side and isolate w
(-5u)/7=(7w)/7
(-5u)/7=w
w=(-5u)/7
I hope this helps! If it did, a brainliest would be much appreciated :)
PLEASE HELP I WILL MARK YOU BRAINLIEST DO PART A AND PART B PLEASE
Answer:
a)The volume of soil required is 48 ft^3
b) Trevor has 36 ft^3 of soil
Step-by-step explanation:
While sitting in class you overheard one of your classmates say, "This equation has infinite solutions, because when I put it in Desmos it gave me parallel lines so I know it makes a conditional equation." Realizing that the student is incorrect, what would you say to help your classmate get their facts straight?
Answer:
See below
Step-by-step explanation:
The systems of linear equations represent two lines.
There are 3 possible outcomes with two lines on the plane.
1. Lines intersect
In this case there is one solution, which is the point of intersection.2. Lines are parallel
In this case the lines never intersect, so there is no solution2. Lines are same
In this case the lines overlap, so there are infinitely many solutions.What is the mode of the set of data?
12, 13, 4, 8, 9, 13, 2, 15, 7, 2, 9, 13, 6
Answer:
13
Step-by-step explanation:
this is because you have to look for the most common number
Solve the following inequality in the simplest form: 8(−x−2/3)−1≥7
7/9 greater or less than 0.7777
We can conclude that 7/9 is equal to 0.777.
What mathematical operations are exactly?Calculating a value while utilizing operands and a math operator is known as a mathematical "operation."The supplied operands or numbers must follow specific guidelines that are associated with the symbol for the math operator.Addition, subtraction, multiplication, division, exponentiation, and modulus are all operations carried out by arithmetic operators.So, we need to solve 7/9 to know if it is greater, less, or equal to 0.777.
7/9 = 0.7777So, 7/9 is equal to 0.777(Refer to the image attached below for calculation)
Therefore, we can conclude that 7/9 is equal to 0.777.
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0.75a=-9 Please show workkkkk
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 12}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: \: 0.75a = - 9}}[/tex]
Divide both sides by 0.75 . Thenafter, Calculate it
[tex] \hookrightarrow{ \sf{ \frac{0.75a}{a} = \frac{ - 9}{0.75}}} [/tex]
[tex] \hookrightarrow{ \boxed{ \sf{a = - 12}}}[/tex]
The value of a is -12
Hope I helped!
Best regards!
~ TheAnimeGirl
If 7p-4=8 , what is the value of p?
A)7/12
B)7/4
C)12/7
D)4/7
Step-by-step explanation:
7p=8+4
7p=12
p=12/7
the correct answer is option A
What is the midpoint of AB?
Answer:
-4
Step-by-step explanation:
It’s -4
Answer:
(-4,-0.5)
Step-by-step explanation:
Jennie has 160 stuffed bears in her collection. She is storing her collection of bears in containers that
hold 20 stuffed bears. So far, she has already filled 5 containers. How many stuffed bears have not been
put in a container for storage?
Sarah's birthday is in 3 weeks how many days away is Sarahs birthday explain.
Answer:
21 days
Step-by-step explanation:
There a 7 days in a week, and there a 3 weeks so you would just multiply 7*3 which equal 21. Hope this helped.
I need help fast please!!!
Answer:
the answer is 3
Step-by-step explanation:
f(3) = 6x
Help if you can?!
Please help it’s easy!2nd time asking
Choose the equation that represents this situation. Use wto represent the
variable.
Blaise spends 4 hours each week jogging at the track. This is three times the
amount of time he spends working out in the weight room. How much time
does he spend in the weight room each week?
A.3w=4
B.w=3•4
C.3+w=4
D.4w=3
Answer:
A: 3w=4
Step-by-step explanation:
4hrs= time at track
track= three times weight room
3times weight room = 4