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3 years ago

A high-performance composite flywheel rotor can spin anywhere between 30,000 and 100,000 revolutions per minute. What

Mathematics

1 answer:

Kobotan [32]3 years ago

4 0

Answer:

Step-by-step explanation:

1 revolution will equal 360 degrees

Because of that 30,000 revolution would be 10,800,000 degrees

100,000 rev would equal 36,000,000 degrees

The range through which the composite flywheel rotates in one minute be denoted by ' F ' . (1.08 x 107)° F (3.6 x 107)°

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Jason jumps from a plane at an altitude of 1000 m. His parachute opens after 10 seconds. The graph shows the relationship betwee

Sauron [17]

Gravity pulls you to earth at velocity of 9.8 m/s. In the first 40 seconds, Jason would fall (9.8) x (40) = 392 meters.

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4 years ago

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

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4 years ago

FAST ANSWER PLEASE !!!

navik [9.2K]

Answer:

The answers are

3π/4 and 5π/4

Hope this helps.

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4 years ago

The height, h(t), in feet, of an object shot from a cannon with initial velocity of 20 feet per second can

Elis [28]

Answer:

Step-by-step explanation:

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3 years ago

Simplify 5a+6a2+7a-4a2-9a

Mice21 [21]

Answer:

2a to the second power + 3a

Step-by-step explanation:

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3 years ago