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
harkovskaia [24]
2 years ago
15

A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimet

ers per minute. And find the angular speed of the CD in radians per minute
Mathematics
1 answer:
ale4655 [162]2 years ago
6 0

9514 1404 393

Answer:

  • 16,965 mm/min
  • 90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

__

There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

You might be interested in
Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10
natka813 [3]

ANSWER

( \frac{2}{3} , \frac{1}{5} )

EXPLANATION

The first equation is

\frac{1}{2} x -  \frac{3}{4} y =  \frac{11}{60} ...(1)

The second equation is

\frac{2}{5} x  +  \frac{1}{6} y =  \frac{3}{10} ...(2)

We want to eliminate y, so we multiply the first equation by

\frac{4}{5}

\frac{4}{5}  \times \frac{1}{2} x - \frac{4}{5}    \times \frac{3}{4} y =  \frac{11}{60}  \times  \frac{4}{5}

\frac{2}{5} x - \frac{3}{5} y =  \frac{11}{75} ...(3)

We now subtract equation (3) from (2)

(\frac{2}{3} x  -  \frac{2}{3} x )+ ( \frac{1}{6} y -  -  \frac{3}{5}y ) =(  \frac{3}{10}  -  \frac{11}{75} )

\frac{1}{6} y  +  \frac{3}{5}y  =\frac{3}{10}  -  \frac{11}{75}

\frac{23}{30}y =  \frac{23}{150}

Multiply both sides by

\frac{30}{23}

\implies \:  \frac{30}{23} \times  \frac{23}{30}y=  \frac{23}{150}  \times  \frac{30}{23}

\implies \: y =  \frac{1}{5}

Substitute into the first equation to solve for x .

\frac{1}{2} x -  \frac{3}{4}  \times \frac{1}{5} =  \frac{11}{60}

Multiply to obtain

\frac{1}{2} x -  \frac{3}{20} =  \frac{11}{60}

\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}

\frac{1}{2} x = \frac{1}{3}

Multiply both sides by 2.

2 \times \frac{1}{2} x =2 \times  \frac{1}{3}

x = \frac{2}{3}

The solution is

( \frac{2}{3} , \frac{1}{5} )

5 0
2 years ago
Read 2 more answers
Translate pentagon CDEFG is translated 7 units up and 5 units left, resulting in
ad-work [718]

Answer:

a. The side lengths are the same.

b. The perimeter is the same.

Step-by-step explanation:

Translating does not change the shape of the pentagon.

5 0
3 years ago
PLEASE HELPPP, its timed. NO BOTS please i want serious answers.
Rzqust [24]
CDAB

4.2 (convert to frac on ur own)

12.5=x

CB= 14.5

AB= 8.82
6 0
2 years ago
How do you estimate large numbers?
Alex73 [517]
The best way to estimate large numbers is to find out how many units is in the number. For example, when you are dealing with millions you need to estimate the number of items closest to the large number. Ex. 1, 899,000 estimating this number is basically saying close to 2 million because the number to the right is higher then 5 so the number goes up.
4 0
3 years ago
Marty says the probability of the high school team winning the hockey game is 35%.
babunello [35]

Answer:

Karim

Step-by-step explanation:

1. Turn 2/5 into a percentage by multiplying the numerator and denominators of 2/5 with 20 so the new fraction's denominator can be 100.

2. Your new fraction should be 40/100 also known as 40%.

3. Compare who's probability is more likely.

4. The answer will be (40%) Karim's.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Use the substitution method to solve the system of equations. Choose the correct ordered pair. 3x – y = 7 2x – 2y = 2
    12·2 answers
  • a house cost 120,000 whenit was purchased. the value of the house by each year find the growth of each month
    7·1 answer
  • What is equavalent to one ninth
    7·2 answers
  • What’s the easiest way to find Lcm of lots of numbers that don’t go into each other?
    5·2 answers
  • Using the ratio of perfect squares method, what is square root of 53 rounded to the nearest hundredth?
    6·1 answer
  • Herman and Jackie are saving money to pay for college. Herman currently has $15,000 and is working hard to save $1000 per month.
    14·1 answer
  • What is the volume of an 8cm cube
    6·1 answer
  • 88 pointtttsss for the right answerr
    12·2 answers
  • What is the highest common factor of 72 and 90
    15·1 answer
  • Please help I'll give brainliest to the correct person
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!