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FrozenT [24]
3 years ago
8

A wheel turns through 200 revolutions per minute. How fast does it turn in radians per second?

Mathematics
2 answers:
lana [24]3 years ago
6 0

Answer:

In one second it turns 200 / 60 = 3 1/3 revolutions. Since one revolution is 360°, the answer is 6 2/3 π radians.

Vera_Pavlovna [14]3 years ago
5 0

Answer: 20.94 rad/sec

Step-by-step explanation:

200 rpm means 200 revolutions per min.

1 min = 60 sec

1 rev = 2pi

200 rev/min * (1min/60sec) *(2pi/1rev)

= 20.94 rad/sec

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qwelly [4]
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4 0
2 years ago
The altitude of Death Valley California is 282 ft below sea level of hot air balloon is launched From The Bottom Of Death Valley
asambeis [7]

Answer:

177 ft below sea level.

Step-by-step explanation:

Initial altitude of the hot air balloon = 282 below sea level

Rate of rise of balloon = 10 ft / second

Time = 12 seconds

Total rise in 12 seconds = Rate of rise of balloon \times Time

\Rightarrow 10 \times 12 = 120 ft

Now, we will have to subtract to find the new altitude.

New altitude = 282 - 120 = 162 ft

Now, it is given that balloon Captain lowers the balloon 15 ft.

To find the final altitude, we will have to add it to the previous altitude.

Therefore, the final altitude = 162 + 15 = <em>177 ft below sea level </em>

6 0
2 years ago
Write the series using summation notation. Then find the sum of the series.
ivolga24 [154]

Hello, please consider the following.

\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78

For the second we will need to put on the same denominator.

\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...

Thank you.

3 0
3 years ago
Find the sum 34+(-96)
Liula [17]

Answer: -62

Step-by-step explanation:

Hope this helps!!

4 0
3 years ago
*click image*
lyudmila [28]

Answer:

x=-26

Step-by-step explanation:

Subtract 45 from both sides.

-85-45=5x

Simplify  -85-45 to  -130

-130=5x

Divide both sides by 5.

-130/5=x

Simplify 130/5 to 26

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6 0
3 years ago
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