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
pychu [463]
2 years ago
6

A wheel of 0.5 m radius rolls without slipping on a horizontal surface. The axle of the wheel advances at constant velocity, mov

ing a distance of 20 m in 5 s. The angular speed of the wheel about its point of contact on the surface is
Mathematics
1 answer:
neonofarm [45]2 years ago
4 0

Answer:

\omega = 8\,\frac{rad}{s}

Step-by-step explanation:

The translation speed of the wheel is:

v=\frac{20\,m}{5\,s}

v=4\,\frac{m}{s}

The angular speed of the wheel is:

\omega = \frac{4\,\frac{m}{s} }{0.5\,m}

\omega = 8\,\frac{rad}{s}

You might be interested in
Please i really need help <br> for both qeutions<br> 100 points
Luba_88 [7]

Answer:

7. a) slope = 5

7. b) slope = 1/2

8. slope = 1

Step-by-step explanation:

slope = rise/run

rise is the vertical change, run is the horizontal change

7. a)

Pick any two points on your line. (0,0) and (1,5) are easy to work with.

The vertical change between the two points is 5

The horizontal change between those points is 1

so slope = 5/1 = 5

7. b)

Again, you can use (0,0) as one of your points. The point (2,4) is good as the second.

slope = 4/2 = 1/2

8. We don't have a graph, but we are given two points to work with, (1,4) and (5,8). Use the formula given...

m = slope = (y2-y1) / (x2-x1)

= (8 - 4) / (5 - 1)

= 4/4

= 1

I hope that helped!

8 0
1 year ago
If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
Which equation exemplifies the commutative property of addition???
Mumz [18]
The answer is 3: 3+5+8=5+8+3
4 0
3 years ago
PLS HELPPPPPPP MEEEEE
____ [38]

Answer:

4.7 · 10^7

Step-by-step explanation:

4 0
2 years ago
Nina has $5 bills and $10 bills in her wallet. she has a total of 7 bills with a value of $55. how many of each type of bill doe
oee [108]
The answer is 3 fives and 4 tens
7 0
3 years ago
Other questions:
  • WHAT IS 5X SOMETHING THAT EQUALS 120 BESIDES 24 X 5? SOMEONE PLEASE
    14·1 answer
  • A mechanic charges $45 per hour and parts cost $125 write an expression for the total if the mechanic works h hours
    9·1 answer
  • -9+{-7-[-(4+1)+(5-9)}-3
    13·1 answer
  • What is the name of the figure?
    14·2 answers
  • The answer and how to do this
    9·1 answer
  • Select the correct answer.
    15·2 answers
  • The admission fee at a park is $1.25 for children and $5.40 for adults. On a certain day, 319 people entered the park, and the a
    8·1 answer
  • How to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3
    5·2 answers
  • Consider parallelogram △MNOP shown above.
    14·1 answer
  • Help me with this problem
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!