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babymother [125]
3 years ago
6

A wheel initially has an angular velocity of 18 rad/s, but it is slowing at a constant rate of 2 rad/s 2 . By the time it stops,

it will have turned through approximately how many revolutions?
Mathematics
1 answer:
Kaylis [27]3 years ago
3 0

Answer:13 revolution

Step-by-step explanation:

Given  data

Wheel initial angular velocity\left ( \omega \right )=18 rad/s

Contant angular deaaceleration\left ( \alpha \right )=2rad/s^2

Time required to stop wheel completely=t sec

\omega =\omega_0 + \aplha t

0 =18 +\left ( -2\right )t

t=9 sec

Therefore angle turn in 9 sec

\theta=\omega_{0} t+\frac{1}{2}\left ( \alpha\right )t^{2}

\theta=18\times 9+\frac{1}{2}\left ( -2\right )\left ( 9\right )^2

\theta=81rad

therefore no of turns(n) =\frac{81}{2\times \pi}

n=12.889\approx13 revolution

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George wants to invest $20,000 One investment pays interest at a rate of 18 2/3% while another pays interest at a rate of 0.1872
xz_007 [3.2K]

Answer:

Investment with interest rate 0.1872 is better

Step-by-step explanation:

Given as :

George investment principal = $20,000

The Rate of interest  (R1)   = 18 \frac{2}{3} % = \frac{56}{3} %

I.e   R1 = 18.67 %

Again The The Rate of interest  (R2)  = 0.1872  = 18.72 %

Let the time period for both rate of interest = 1 years

Now from compound interest method

Amount = Principal × (1 + \frac{Rate}{100})^{Time}

Or,    A 1 = $ 20 , 000 × (1 + \frac{18.67}{100})^{1}

Or,    A 1 = $ 20 ,000 × 1.1867

∴       A 1 = $ 23,734

And   A 2 = $ 20 , 000 × (1 + \frac{18.72}{100})^{1}

Or,     A 2 = $ 20 ,000 × 1.1872

∴        A 2 = $ 23,744

Hence From the calculation of both amount it is clear that , investment with interest rate 0.1872 is better . Answer

7 0
3 years ago
In an isolated environment, a disease spreads at a rate proportional to the product of the infected and non-infected populations
eimsori [14]

Answer:

Expression: N = C·L·l(t)· T + 20

The initial value problem and solution are expressed as a first order differential equation.

Step-by-step explanation:

First, gather the information:

total population, N = 2 000

Proportionality constant, C = 0.0002

l(t) number of infected individuals = l(t)

healthy individuals = L

The equation is given as follows:

N = C·L·l(t)

However, there is a change with time, so the expression will be:

\frac{dN}{dt} = C·L·l(t)

multiplying both sides  by dt gives:

dN  =   C·L·l(t)

Integrating both sides gives:

\int\limits^a_b {dN} \, dt = \int\limits^a_b {CLl(t)} \, dt

N = C·L·l(t)· T + K

initial conditions:

T= 0, N₀ = (0.01 ₓ 2 000)  = 20

to find K, plug in the values:

N₀ = K

20 = K

At any time T, the expression will be:

<u>N = C·L·l(t)· T + 20</u> Ans

8 0
3 years ago
Can someone help me please ASAP?
PtichkaEL [24]

Answer:

the answer is the right because it has the least negative so its 0. the left is -2 which is less then zero.

Step-by-step explanation:

5 0
3 years ago
The ice skating rink rents 25 pairs of skates each hour. Write an expression that represents the pairs of skates rented in h hou
Nookie1986 [14]

175 pairs of skates are rented for 7 hours.

Step-by-step explanation:

Given,

Pairs of skated rented each hour = 25

Let,

Number of hours = h

Total pairs rented = T

T = Pairs rented each hour * number of hours

T = 25h

Evaluate the expression for 7 hours.

h = 7

T=25(7)\\T=175

175 pairs of skates are rented for 7 hours.

Keywords: multiplication, linear expression

Learn more about multiplication at:

  • brainly.com/question/10541435
  • brainly.com/question/10666510

#LearnwithBrainly

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