1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shalnov [3]
3 years ago
7

You are given that a wheel has a radius of 2 feet and a spin rate of 10 revolutions per minute. Describe how you would determine

the linear velocity, in feet per minute, of a point on the edge of the wheel.
Mathematics
2 answers:
Marina86 [1]3 years ago
8 0

<u>Answer: </u>

Linear velocity of point on the edge of wheel having radius of 2 feet and spin rate of 10 revolution per minute is 125.71 feet per minute.

<u>Solution: </u>

Given that radius of wheel = 2 feet

There is a point on edge of the wheel .we need to determine linear velocity of that point.

Let’s first calculate distance covered by a point when 1 revolution of wheel is complete.

When one revolution is complete the distance traveled by a point on edge of the wheel will be equal to circumference of the wheel  

=2 \pi \mathrm{r}=2 \mathrm{x}\left(\frac{22}{7}\right) \times 2=\frac{88}{7} \mathrm{feet}

In one revolution, point covers distance of \frac{88}{7} feet

So in 10 revolution, point covers distance of \frac{88}{7} \times 10 = \frac{880}{7}

Given that in a minute, wheel takes 10 revolution.

Which means in a minute , point covers \frac{880}{7} feet that is \frac{880}{7} feet per minute = 125.71 feet per minute

Hence linear velocity of point on the edge of wheel having radius of 2 feet and spin rate of 10 revolution per minute is 125.71 feet per minute.

igomit [66]3 years ago
4 0

Answer:

2.09.ft/min

Step-by-step explanation:

There is a formula for the linear velocity using rpm:

V = (2π)/60 * r * rpm

V = (2π)/60 * 2ft * 10 = 2.09ft/min

You might be interested in
Find the domain of f(x)=x-9/x squared-81
vagabundo [1.1K]

f(x)=\dfrac{x-9}{x^2-81}\\\\\text{The domain:}\\\\x^2-81\neq0\qquad\text{add 81 to both sides}\\\\x^2\neq81\to x\neq\pm\sqrt{81}\\\\x\neq-9\ \wedge\ x\neq9\\\\Answer:\ \boxed{\text{All real numbers except -9 and 9}}\to\boxed{x\in\mathbb{R}-\{-9,\ 9\}}

7 0
4 years ago
Consider the following quadratic function Part 3 of 6: Find the x-intercepts. Express it in ordered pairs.Part 4 of 6: Find the
maksim [4K]

Answer:

The line of symmetry is x = -3

Explanation:

Given a quadratic function, we know that the graph is a parabola. The general form of a parabola is:

y=ax^2+bx+c

The line of symmetry coincides with the x-axis of the vertex. To find the x-coordinate of the vertex, we can use the formula:

x_v=-\frac{b}{2a}

In this problem, we have:

y=-x^2-6x-13

Then:

a = -1

b = -6

We write now:

x_v=-\frac{-6}{2(-1)}=-\frac{-6}{-2}=-\frac{6}{2}=-3

Part 3:

For this part, we need to find the x-intercepts. This is, when y = 0:

-x^2-6x-13=0

To solve this, we can use the quadratic formula:

x_{1,2}=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot(-1)\cdot(-13)}}{2(-1)}

And solve:

x_{1,2}=\frac{6\pm\sqrt{36-52}}{-2}x_{1,2}=\frac{-6\pm\sqrt{-16}}{2}

Since there is no solution to the square root of a negative number, the function does not have any x-intercept. The correct option is ZERO x-intercepts.

Part 4:

To find the y intercept, we need to find the value of y when x = 0:

y=-0^2-6\cdot0-13=-13

The y-intercept is at (0, -13)

Part 5:

Now we need to find two points in the parabola. Let-s evaluate the function when x = 1 and x = -1:

x=1\Rightarrow y=-1^2-6\cdot1-13=-1-6-13=-20x=-1\Rightarrow y=-(-1)^2-6\cdot(-1)-13=-1+6-13=-8

The two points are:

(1, -20)

(-1, -8)

Part 6:

Now, we can use 3 points to find the graph of the parabola.

We can locate (1, -20) and (-1, -8)

The third could be the vertex. We need to find the y-coordinate of the vertex. We know that the x-coordinate of the vertex is x = -3

Then, y-coordinate of the vertex is:

y=-(-3)^2-6(-3)-13=-9+18-13=-4

The third point we can use is (-3, -4)

Now we can locate them in the cartesian plane:

And that's enough to get the full graph:

8 0
1 year ago
You have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is
sveticcg [70]
Since your scale is 1ft:1.26cm, a 30-ft tall school would need to have a 30*1.26=37.8 cm model. Dividing this by how tall each toothpick is, you'll get:

\frac{37.8}{6.3} =6

ANSWER: The model would be 6 toothpicks tall.

To find out how many cotton swabs you'll need, we just divide 37.8 by how tall each swab is:

\frac{37.8}{7.7} =5

ANSWER: The model would be 5 cotton swabs tall.
4 0
4 years ago
Mark took 30 minutes to finish lunch describe the turn the minute hand made
andre [41]
The hand went around 7 numbers.
7 0
3 years ago
Read 2 more answers
For this right triangle shown, what is the sine of angle C?
choli [55]

Answer:

8.212°

Step-by-step explanation:

Hypotenuse^2=base^2+perp^2

(8)^2=(7)^2+(perp)^2

64=49+(perp)^2

64/49=perp^2

1.306=perp^2

Now taking sq root on both sides

Perp=√1.306

Perp=1.142

Sin C=opposite/hypotenuse

Sin C=1.142/8

Sin C=0.14285

C=Sin^-1 0.14285

C=8.212°

5 0
3 years ago
Other questions:
  • PLEASE i really really need help! and as quick as possible thank you!!
    8·1 answer
  • Five times the sum of a number and 4 is 9
    7·1 answer
  • Find the sum of 94kg 129g , 140kg and 85kg 20g
    15·2 answers
  • Find the unknown side length, x. Write your answer in simplest radical form.
    12·1 answer
  • What is the dilation for the transformation below?​
    15·1 answer
  • //g.co/doodle/tgfu9xm
    8·1 answer
  • What is 8(9f+5) in simplest form?
    7·2 answers
  • A doctor has an annual income of $145.000. The income tax the Dr. Has to pay is 6%. What is the amount of income tax has to pay
    15·1 answer
  • If (-2,3), 3x-2ky+4=0 find the value of k
    15·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!!!!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!