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2 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]2 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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Two slits are illuminated by a 348 nm light. The angle between the zeroth-order bright band at the center of the screen and the

Andre45 [30]

Answer:0.369 m

Step-by-step explanation:

Given

Distance between slit and screen is $D=154 cm$

Wavelength $\lambda =348 nm$

Angle between zeroth order bright fringe and Fourth-order bright fringe is $\theta =13.5^{\circ}$

let distance between the slits be d

Distance of n th bright fringe From central Fringe is given by

$y_n=\frac{nD\lambda }{d}$

Also $\tan \theta =\frac{y_4}{D}$

$y_4=\tan (13.5)\cdot 1.54$

$y_4=0.24\times 1.54$

$y_4=0.369 m$

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2 years ago

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Mademuasel [1]

Answer:

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Step-by-step explanation:

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2 years ago

Marc ordered a rug he gave a deposit of 30% of the cost and will pay the rest when the rug is delivered if the deposit was $75 h

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Use proportion, so multiply 100 by 75, then divide it by 30 and that's your answer.....250

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2 years ago

Read 2 more answers

The Gotemba walking trail up Mount Fuji is about 9 kilometres (km) long. Walkers need to return from the 18 km walk by 8 pm. Tos

worty [1.4K]

Answer:

He must start his journey by 11 AM

Step-by-step explanation:

Speed of Toshi while walking up the mountains is 1.5 kilometres per hour

Speed of Toshi while walking down the mountains = 2 * Speed of Toshi while walking up the mountains = 3 kilometres per hour

Time taken to travel 9 Km in the upward direction by Toshi = 9 Km/1.5 kilometres per hour = 6 hours

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2 years ago

Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The follow

Dmitry_Shevchenko [17]

The graph of amount Tom owes his friend after a given time, t, is a straight line graph with a negative slope

Please find attached the required example of a possible graph that shows the amount Tom owes his friend

Reason:

Let A represent the amount of money Tom buys the boat with, let x

represent the amount of equal payment made and y represents the

amount Tom owes the friend after a given time, t, we have;

y = A - x·t

Therefore, the slope of the graph formed is -x, the y-intercept of the graph

is A, from which the graph that gives the amount of money, in dollars, Tom

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using example values;

A = $25,000 (Amount the Tom agrees to buy the boat)

x = $5,000 (Amount Tom pays each year for the boat)

By plugging in the above example values, the attached graph can be drawn using MS Excel

Learn more about plotting of straight line graphs here:

brainly.com/question/11097080

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1 year ago