All categories

3 years ago

Is a 3D parallel flow necessarily irrotational?

Physics

1 answer:

satela [25.4K]3 years ago

3 0

Answer:

Explanation:

We know that

Rationality in 3D flow is given as follows

$\omega =\omega _xi+\omega _yj+\omega _zk$

If ω is equal to zero then flow will be irrotational and if ω is not equal to zero then flow will be rotational .

So if flow is ir-rotational it means that the component of ω in x-direction,in y-direction and in z-direction direction should be zero.

So it is not necessarily that 3D parallel flow will be irrotaional.

You might be interested in

Water waves in a small tank are .06 m long. They pass a given point at a rate of 14.8 waves every three seconds. What is the spe

snow_lady [41]

Answer:

Speed = 0.296m/2

Period = 0.203 s

Explanation:

If by 'long' you mean the wavelength of the waves, then the wavelength $\lambda=0.06m$ .

The frequency $f$ of the waves is 14.8 waves every 3 seconds or

$f=14.8/3 =4.33Hz$ .

Now the relationship between wavelength $\lambda$ , frequency $f$ and speed $v$ of the waves is:

$v=\lambda f$

We put in the values $\lambda=0.06m$ and $f=4.933Hz$ and get:

$\boxed{v=0.06*4.922=0.296m/s}$

Now the period $T$ is just the inverse of the frequency, or

$T=\frac{1}{f}$

$\boxed{T=\frac{1}{4.933}=0.203\:seconds }$

4 0

3 years ago

><br><br> Which activity will improve your muscle strength

BartSMP [9]

Answer:

Lifting weights
Strength training
Resistance training
Heavy gardening e.g digging , shovelling

Explanation:

8 0

3 years ago

You apply a net force on a soccer ball of 15 N. If the acceleration it has is 5 m/s2 what is the mass of the ball?

Ipatiy [6.2K]

Answer:

Explanation:

The mass of the ball can be found by using the formula

$m = \frac{f}{a} \\$

f is the force

a is the acceleration

We have

$m = \frac{15}{5} = 3 \\$

We have the final answer as

Hope this helps you

4 0

3 years ago

A spinning satellite begins to unfold two solar panels as shown. How does a satellites ANGULAR MOMENTUM change as its panels ext

Soloha48 [4]

As the satellite panels extend, the angular velocity decreases due to drag force, and hence it will cause a decrease in the angular momentum of the satellite.

<h3>What is angular momentum?</h3>

Angular momentum is defined as the quantity of rotation of a body, which is the product of mass, velocity and radius.

L = mvr

L = mωr²

where;

m is mass of the object
v is velocity
r is radius
ω is angular velocity

As the satellite panels extend, the angular velocity decreases due to drag force, and hence it will cause a decrease in the angular momentum of the satellite.

Learn more about angular momentum here: brainly.com/question/4126751

#SPJ1

6 0

2 years ago

a 5.0 kg ball is dropped from a 2.5 m high window. what is the velocity of the ball just before it hits the ground?

julsineya [31]

Answer:

Approximately $7.0\; \rm m \cdot s^{-1}$ .

Assumption: the ball dropped with no initial velocity, and that the air resistance on this ball is negligible.

Explanation:

Assume the air resistance on the ball is negligible. Because of gravity, the ball should accelerate downwards at a constant $g = 9.81 \; \rm m \cdot s^{-2}$ near the surface of the earth.

For an object that is accelerating constantly,

$v^2 - u^2 = 2\, a \, x$ ,

where

$u$ is the initial velocity of the object,
$v$ is the final velocity of the object.
$a$ is its acceleration, and
$x$ is its displacement.

In this case, $x$ is the same as the change in the ball's height: $x = 2.5\; \rm m$ . By assumption, this ball was dropped with no initial velocity. As a result, $u = 0$ . Since the ball is accelerating due to gravity, $a = 9.81\; \rm m \cdot s^{-2}$ .

$v^2 - u^2 = 2\, g \cdot h$ .

In this case, $v$ would be the velocity of the ball just before it hits the ground. Solve for

$v^2 = 2\, a\, x + u^2$ .

$\begin{aligned}v &= \sqrt{2\, a\, x + u^2} \\ &= \sqrt{2\times 9.81 \times 2.5 + 0} \\ &\approx 7.0\; \rm m\cdot s^{-1}\end{aligned}$ .

3 0

3 years ago