All categories

3 years ago

What is the orbital velocity in km/s and period in hours of a ring particle at the outer edge of Saturn's A ring

Physics

1 answer:

mote1985 [20]3 years ago

3 0

Answer:

The orbital velocity $v = 16.4 \ km/s$

The period is $T = 14.8 \ hours$

Explanation:

Generally centripetal force acting ring particle is equal to the gravitational force between the ring particle and the planet , this is mathematically represented as

$\frac{GM_s * m }{r^2 } = m w^2 r$

=> $w = \sqrt{ \frac{GM}{r^3} }$

Here G is the gravitational constant with value $G = 6.67*10^{-11}$

$M_s$ is the mass of with value $M_s =5.683*10^{26} \ kg$

r is the is distance from the center of the to the outer edge of the A ring

i.e r = R + D

Here R is the radius of the planet with value $R = 60300 \ km$

D is the distance from the equator to the outer edge of the A ring with value $D = 80000 \ kg$

$r =80000 + 60300$

=> $r =140300 \ km = 1.4*10^{8} \ m$

=> $w = \sqrt{ \frac{ 6.67*10^{-11}* 5.683*10^{26}}{[1.4*10^{8}]^3} }$

=> $w = 1.175*10^{-4} \ rad/s$

Generally the orbital velocity is mathematically represented as

$v = w * r$

=> $v = 1.175*10^{-4} * 1.4*10^{8}$

=> $v = 1.64*10^{4} \ m /s = 16.4 \ km/s$

Generally the period is mathematically represented as

$T = \frac{2 \pi }{w }$

=> $T = \frac{2 * 3.142 }{ 1.175 *10^{-4} }$

=> $T = 53473 \ second = 14.8 \ hours$

Answer:

The orbital velocity $v = 16.4 \ km/s$

The period is $T = 14.8 \ hours$

Explanation:

Generally centripetal force acting ring particle is equal to the gravitational force between the ring particle and the , this is mathematically represented as

$\frac{GM_s * m }{r^2 } = m w^2 r$

You might be interested in

A diffraction grating with 750 slits per mm is illuminated by light which gives a first-order diffraction angle of 34.0°. What i

lesya [120]

<h2>Answer: 745.59 nm</h2>

Explanation:

The diffraction angles $\theta_{n}$ when we have a slit divided into $n$ parts are obtained by the following equation:

$dsin\theta_{n}=n\lambda$ (1)

Where:

$d$ is the width of the slit

$\lambda$ is the wavelength of the light

$n$ is an integer different from zero

Now, the first-order diffraction angle is given when $n=1$ , hence equation (1) becomes:

$dsin\theta_{1}=\lambda$ (2)

We know:

$\theta_{1}=34\°$

In addition we are told the diffraction grating has 750 slits per mm, this means:

$d=\frac{1mm}{750}$

Solving (2) with the known values we will find $\lambda$ :

$\lambda=(\frac{1mm}{750})sin(34\°)$ (3)

$\lambda=0.00074559mm$ (4)

Knowing $1mm=10^{6}nm$ :

$\lambda=745.59nm$ >>>This is the wavelength of the light, wich corresponds to red.

6 0

4 years ago

Nick parks his car at Target and walks 150 ft. north to get to the store. On his way back to the car, he walks 50 ft. before pau

mr Goodwill [35]

75 steps is what he’s missing

7 0

3 years ago

In a laundromat, during the spin-dry cycle of a washer, the rotating tub goes from rest to its maximum angular speed of 2.2 rev/

Hunter-Best [27]

Answer:

$n_{T} = 31.68\,rev$

Explanation:

The angular acceleration is:

$\ddot n_{1} = \frac{2.2\,\frac{rev}{s} -0\,\frac{rev}{s} }{8.8\,s}$

$\ddot n_{1} = 0.25\,\frac{rev}{s^{2}}$

And the angular deceleration is:

$\ddot n_{2} = \frac{0\,\frac{rev}{s}-2.2\,\frac{rev}{s} }{20\,s}$

$\ddot n_{2} = -0.11\,\frac{rev}{s^{2}}$

The total number of revolutions is:

$n_{T} = n_{1} + n_{2}$

$n_{T} = \frac{\left(2.2\,\frac{rev}{s} \right)^{2}-\left(0\,\frac{rev}{s} \right)^{2}}{2\cdot \left(0.25\,\frac{rev}{s^{2}} \right)} + \frac{\left(0\,\frac{rev}{s} \right)^{2}-\left(2.2\,\frac{rev}{s} \right)^{2}}{2\cdot \left(-0.11\,\frac{rev}{s^{2}} \right)}$

$n_{T} = 31.68\,rev$

4 0

4 years ago

The sum of the charges on both plates of a capacitor is zero. What does a capacitor store?

erma4kov [3.2K]

Current is the overall flow of electrons through a conductor and can be defined as the speed of the flow of electrons. Resistance is defined as the opposition to current flow. Circuits must have resistance to convert electrical energy into light, heat, or motion. Resistance is called the directional movement of electrons that form an electric current. It is also known that electrons do not move freely in the crystal structure of a conductor. Resistance is the inherent opposition to the flow of electrons present in a conductor. Inductance is the property of any circuit to resist any change in current while capacitance is the property of the circuit to resist any change in voltage.

<h3>What is capacitor?</h3>

A capacitor is an electronic component that stores an electrical charge. Capacitors consist of two close conductors (usually plates) separated by a dielectric material. The plates accumulate an electrical charge when connected to a power source. The main purpose of a capacitor is to store electrostatic energy in an electric field and, if possible, to supply this energy to an electrical circuit.

To avoid dangerous circuit failure, they allow alternating current to flow but block direct current. Capacitors are widely used as circuit elements in many common electrical devices. Commercial capacitors are made of interwoven metal foils with paraffin or Mylar-impregnated paper as the dielectric.

To more about capacitor, visit ;

brainly.com/question/14562804

#SPJ4

4 0

1 year ago

Water, which we can treat as ideal and incompressible, flows at 12 m/s in a horizontal pipe with a pressure of 3.0 × 10^4 Pa.

Triss [41]

Answer:

9.8 × 10⁴Pa

Explanation:

Given:

Velocity V₁ = 12m/s