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3 years ago

State and explain poiseuilles formula

1 answer:

3 0

The Poiseuille's Law formula is given by:
The Pressure Gradient (∆P) Shows the pressure differential between the two ends of the tube, defined by the fact that every fluid will always flow from the high pressure (P1) to the low-pressure area (P2) and the flow rate is calculated by the ∆P = P1-P2.

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An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is

KatRina [158]

Answer: 89.803 ft

Explanation:

The complete question is written below:

An astronaut on the moon throws a baseball upward. The astronaut is 6ft, 6 in. tall and the initial velocity of the ball is 30 ft per second. The height s of the ball in feet is given by the equation,s=-2.7t^2+30t+6.5, where t is the number of seconds after the ball is thrown.

The ball will never reach a height of 100ft. How can this be determined algebraically?

We have the following equation that expresses the height $s$ as a function of time:

$s=-2.7t^{2}+30t+6.5$ (1)

Now, if we wan to find the maximum height the baseball reaches and prove it is less than 100 ft, we firstly have to find the time $t_{total}$ the whole parabolic movement lasts and then find $t_{smax}=\frac{t_{total}}{2}$ which is the time it takes the baseball to reach its maximum height.

So, if we want to calculate $t_{total}$ , this is fulfilled when $s=0$ , when the baseball hits the ground:

$0=-2.7t^{2}+30t+6.5$ (2)

This is a quadratic equation of the form $0=at^{2}+bt+c$ , and we have to use the quadratic formula if we want to find $t_{total}$ :

$t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ (3)

Where $a=-2.7$ , $b=30$ , $c=6.5$

Substituting the known values and choosing the positive result of the equation:

$t_{total}=11.323 s$ (4)

Then we can calculate $t_{smax}$ :

$t_{smax}=\frac{t_{total}}{2}$ (5)

$t_{smax}=\frac{11.323 s}{2}$

$t_{smax}=5.661 s$ (6)

Substituting (6) in (1):

$s=-2.7(5.661 s)^{2}+30(5.661 s)+6.5$ (7)

$s=89.803 ft$ (8) This is the maximum height the baseball reaches, as we can see it is less than 100 ft

8 0

4 years ago

Which visible colors of light has the longest wavelength?

Debora [2.8K]

Answer: Red has highest wavelength

Explanation:

Electromagnetic radiation is defined as the radiation which is associated with both electrical and magnetic component. These radiations travel in vacuum as well and travel with the speed of light.

The Electromagnetic visible spectrum involves violet, indigo, blue , green, yellow, orange and red which are arranged in order of increasing wavelength and decreasing frequency.

Thus red has highest wavelength and blue has lowest wavelength.

3 0

3 years ago

If you have 240.0 mL of water at 25.00 °C and add 100.0 mL of water at 95.00 °C, what is the final temperature of the mixture? U

Rus_ich [418]

Answer: The final temperature of the mixture is 45.6°C

Explanation:

To calculate the mass of water, we use the equation:

$\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}$

Density of water = 1 g/mL

When volume is 240.0 mL

Putting values in above equation, we get:

$1g/mL=\frac{\text{Mass of water}}{240.0mL}\\\\\text{Mass of water}=(1g/mL\times 240.0mL)=240g$

When volume is 100.0 mL

Putting values in above equation, we get:

$1g/mL=\frac{\text{Mass of water}}{100.0mL}\\\\\text{Mass of water}=(1g/mL\times 100.0mL)=100g$

When two water solutions at different temperature are mixed, the amount of heat released by water present at higher temperature will be equal to the amount of heat absorbed by water present at lower temperature..

$Heat_{\text{absorbed}}=Heat_{\text{released}}$