All categories

3 years ago

Find the angular speed of a turning gear if 12.5 revolutions are completed in 8 seconds.

Mathematics

1 answer:

evablogger [386]3 years ago

6 0

(12.5*2*Pi) / 8 = 3.125*Pi [1/s]

You might be interested in

Tarana mailed 20 greetings cards. 9 of them were mailed to USA. What percentage of the cards were mailed to USA?

Elza [17]

Answer:

45%

Step-by-step explanation:

9/20=0.45 (Divide it first), 45/100=45% (45/100 because 100 makes 1 whole -all 20 cards-)

7 0

3 years ago

Ratio of x and 2 is not greater than 14

allochka39001 [22]

The ratio of x and 2=x:2
not greater than is <

So I'd say the answer would be x:2<14

3 0

3 years ago

The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

Fynjy0 [20]

Answer:

The volume of a single tennis ball is $14.14\ in^{3}$

The volume of three tennis balls is $42.42\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

case A) The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

case B) The volume of the can is $56.55\ in^{3}$

The statement is false

The volume of the can is $59.38\ in^{3}$ --> see the procedure Step 2

case C) The empty space inside the can is $14.13\ in^{3}$

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

$59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}$

case D) The volume of three tennis balls is $42.42\ in^{3}$

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

$14.14*3=42.42\ in^{3}$

8 0

3 years ago

Pedro was curious if circles AAA and BBB (with XXX and YYY being on each circle, respectively) were similar, so he tried to map

Ede4ka [16]

it is B the answer B yes B

7 0

1 year ago

I don't really understand what I suppose to do here so please help me with the question

AlekseyPX

Answer:

look at the time for example, B's time is constant because it isn't skipping numbers like 1, 5, 3,etc.

the height is also constant because it is dividing each number by 2, 60÷2=30, 30÷2=15, 15÷2=7.5. You will notice A is not constant so (no) but B is so (yes)

5 0

2 years ago