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3 years ago

If a windmill with radius 26 feet makes 12 full revolutions every 1 minute, what is its linear speed?

Mathematics

1 answer:

vlada-n [284]3 years ago

7 0

Answer:

The linear speed of the windmill is 32.682 ft/s.

Step-by-step explanation:

Given;

radius of the windmill, r = 26 ft

number of revolutions per minute, θ = 12 rpm

The angular speed of the windmill is given as;

$\omega = \frac{12 \ rev}{min} *\frac{2\pi \ rad}{1 \ rev} *\frac{1 \ min}{60 \ s} \\\\\omega = 1.257 \ rad/s$

The linear speed of the windmill is given as;

v = ωr

v = 1.257 rad/s x 26 ft

v = 32.682 ft/s

Therefore, the linear speed of the windmill is 32.682 ft/s.

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lord [1]

We are given

The average income, I, in dollars is

$I=-425x^2+45500x-650000$

(a)

now, we are given

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so, $I=275000$

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$-425x^2+45500x-925000=0$

we will have to use quadratic formula

$x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}$

$x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}$

we get

$x=27.28199$

$x=79.776$

we need to find youngest age

It means that we need to choose smallest value

so,

$x=27$ ............Answer

(b)

we are given

x=40

so, we can plug it and find I

$I=-425(40)^2+45500(40)-650000$

$I=490000$ ..............Answer

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3 years ago

The planner for a company celebration bough 335 balloons. While he was inflating them, 11 balloons over inflated and burst. If h

Vlad1618 [11]

Answer:

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3 years ago

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Licemer1 [7]

Answer:

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2 years ago

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1. 10^2

2. 10^5

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3 years ago

the leaning tower of pisa in italy makes an angle of 86 degrees with the ground. a person standing on the ground approximately 8

Art [367]

See the picture to better understand the problem

we know that
in the triangle ABC
∠A+∠B+∠C=180°
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3 years ago

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