How many mutually perpendicular gyroscopes with fixed axes of rotation are required to have full control over the spacecraft's orientation

Answers

Answer 1

To obtain complete control over the spacecraft's orientation, a minimum of three mutually perpendicular gyroscopes with fixed axes of rotation are required. A gyroscope is an apparatus for measuring or sustaining orientation, depending on the principles of angular momentum.

Gyroscopes are used for navigation in autonomous vehicles, including robots and drones, as well as in smartphones, cameras, and video game controllers. Gyroscopes are commonly used in spacecraft and satellites to maintain the vehicle's position and orientation. The gyroscope's axis of rotation is fixed, making it the ideal tool for determining angular velocity, direction, and orientation. The three mutually perpendicular gyroscopes are aligned with the x, y, and z axes of the spacecraft, and they work together to maintain the spacecraft's orientation. They also help the spacecraft avoid tumbling or rotating in unwanted ways.

A spacecraft's attitude control system includes gyroscopes, accelerometers, star trackers, and reaction wheels, among other components. The gyroscopes are responsible for measuring angular velocity, while the accelerometers are responsible for measuring the spacecraft's acceleration. Star trackers are used to determine the spacecraft's position and orientation relative to the stars, while reaction wheels are used to change the spacecraft's orientation by adjusting its angular momentum.

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Related Questions

some one can help me???

An object with a mass of 2kg accelerates 10m/s2 when an unknown force is applied to it, What is the amount of the force?​

Answers

Answer: the awnser is 19k

Explanation:

Answer:

hope the answer helped you. pls mark as brainliest

Explanation:

Newton's second law states that the acceleration an object experiences due to a given force is inversely proportional to its mass, that is --

a=Fm

If the acceleration is 10m/s2 and the object's mass is 2kg , we can use Newton's second law to find that:

10m/s2=F2kg

F=20kg m/s2 , or 20N .

After the experiment, scientists organize and (blank) the data.

Does anyone know what goes in the blank? Im doing a crossword puzzle and I need help, please. (/w\)

Answers

Answer:

analyze

Explanation:

Find the distance an object traveled if a force of 350 n acted on it to produce 0 work?

Answers

Force(F) = 350 N

Work (W)= 0 J

Apply the formula:

Work = Force x Distance

Isolate distance(d)

Distance = Work/ Force

d = W/F = 0 /350 = 0 m

The distance that the object traveled is 0 (zero)

What is the cos of 22

Answers

Answer:

rad -0.99

deg 0.92

...............

Pagkatuto Bilang 2: Anong pagsubok ang ipinakikita sa Ibigay ang tawag sa pagsubok na ito. Gawin ito sa inyong Gawain sa larawan. kuwaderno.

P.E.​

Pagkatuto Bilang 2: Anong pagsubok ang ipinakikita sa Ibigay ang tawag sa pagsubok na ito. Gawin ito

Answers

Answer:

Three Minute Step Test

Push Up

Zipper Test

Sorry di ko po alam lahat

Suppose that you want to build a transformer that will convert 80 V power coming in the primary coil to 120 V power going out of the secondary coil. If you want to have a total of 20 turns, how many turns should you have in the primary coil?
A. 8
B. 16
C. 4
D. 12

Answers

The number of turns of the primary coil is about 12 turns.

Given DataVoltage in the primary coil (Vp) = 80 VVoltage in the secondary coil (Vs) = 120 VTotal number of turns (N) = 20 turns

Let us use the expression below to compute the primary turns of the transformer

Turns ratio = Number of turns in secondary coil / Number of turns in the primary coil

Turns ratio = Vs / Vp

Plugin in our given values we have

Turns ratio = 120 V / 80 V

Turns ratio = 1.5

Turns ratio = Ns / Np

1.5 = 20 turns / Np

1.5 * Np = 20 turns

Np = 20 turns / 1.5

Np ≈ 13.33

Now from the given options the closest is D  12

Np ≈ 12 turns

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A place kicker must kick a football from a point 31.5 m from a goal. As a result of the kick, the ball must clear the crossbar, which is 3.05 m high. When kicked the ball leaves the ground with a speed of 20.2 m/s at an angle of 53° to the horizontal.
(a) By how much does the ball clear or fall short of clearing the crossbar?
(b) Does the ball approach the crossbar while still rising or while falling?

A place kicker must kick a football from a point 31.5 m from a goal. As a result of the kick, the ball

Answers

(a) The ball cleared the crossbar by 10.23 m.

(b) The ball approaches the crossbar while falling.

What is the maximum height reached by the ball?

The maximum height reached by the ball is calculated by applying the following kinematic equation as shown below;

H = u² sin²θ / 2g

where;

u is the initial velocity of the ballθ is the angle of projection of the ballg is acceleration due to gravity

H = (20.2² x (sin 53)²) / (2 x 9.8)

H = 13.28 m

ΔH = 13.28 m - 3.05 m = 10.23 m

The horizontal distance travelled by the ball is calculated as follows;

R = u² sin(2θ) / g

R = (20.2² sin(2 x 53) ) / (9.8)

R = 40 m

Thus, the ball cleared the crossbar and since the maximum height travelled by the ball is far greater than the height of the crossbar, the ball will approach the crossbar while falling.

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calculate the potential energy of a bag 5kg raised to a height of 8m.take g=10m/s2

Answers

Answer:

400 Joules

Explanation:

5x8x10=400 Joules

Answer:

400 J

Explanation:

Potential Energy = mgh =  5 * 10 * 8 = 400 J

by what multiplicative factor rk does the initial kinetic energy increase, and by what multiplicative factor rw does the work done by the force increase (with respect to the case when the particle had a mass m )? if one of the quantities doubles, for instance, it would increase by a factor of 2. if a quantity stays the same, then the multiplicative factor would be 1. you should enter the two factors separated by a comma.

Answers

The multiplicative factor rk for the initial kinetic energy is 2, as the kinetic energy doubles when the mass doubles.

What is kinetic energy?

Kinetic energy is the energy possessed by an object due to its motion. It is equal to the work done to accelerate the object from rest to its current velocity. Kinetic energy is associated with the motion of an object and is measured in joules (J). Kinetic energy is one of the most important forms of energy, as it is involved in many physical and chemical processes. Kinetic energy is also related to velocity, and can be calculated using the formula KE = ½ mv2, where m is the mass of the object and v is its velocity.

The multiplicative factor rw for the work done by the force is 1, as the work done by the force does not change when the mass of the particle changes.

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A ______ is a closed loop containing a source of electrical energy and a load.

a electronic

b charge

c transducer

d circuit

Answers

Answer:

d. circuit

Explanation:

the parts of the circuit consists of a load or resistance

If a box that weights one pound (5 newtons) needs to be moved, how much force needs to be applied to move it?
A. Less than 5 Newtons
B. Exactly 5 Newtons
C. Any force greater than 5 Newtons
D. Not enough information provided

Answers

Answer:

A

Explanation:

the change in momentum that occurs when a 1.0 kg ball traveling at 3.0 m/s strikes a wall and bounces back at 2.0 m/s is. (hint: momentum is a vector quantity so be careful of direction).

Answers

The change in momentum when a 1.0 kg ball traveling at 3.0 m/s strikes a wall and bounces back at 2.0 m/s is 5.0 kg·m/s.

Since momentum is a vector quantity, we need to consider the direction of the ball's velocity before and after bouncing.

Before bouncing, the ball has a momentum of (1.0 kg)(3.0 m/s) = 3.0 kg·m/s in one direction.

After bouncing, its momentum is (1.0 kg)(-2.0 m/s) = -2.0 kg·m/s, as the direction changes.

To find the change in momentum, subtract the initial momentum from the final momentum: -2.0 kg·m/s - 3.0 kg·m/s = -5.0 kg·m/s. Since the change in momentum is a scalar quantity, the magnitude is 5.0 kg·m/s.


Summary: The change in momentum of a 1.0 kg ball traveling at 3.0 m/s and bouncing back at 2.0 m/s is 5.0 kg·m/s, taking into account the change in direction.

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Which material would provide the most resistance for electricity

Answers

The materials which are more resistant to electricity are called insulators. Materials like wood, plastics, rubber etc are insulators. They can be used in protective coatings.

What are insulators?

There are three type of materials based on their conductivity. Substances which are most conductive at room temperature are called conductors. Materials which are not conducting at normal conditions but can conduct at higher temperature or on doping are called semiconductors.

Materials which are not conducting at any condition are called insulators. Insulators are thus resistant to electricity or to the passage of electrons. Metals are all conductors. Silicon and germanium are examples of semiconductors.

Materials like wood, plastics, rubber, glass, and other ceramic materials are insulators. Insulators can be used as protective coating from electric shock.

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A 2400W electric toaster is connected to a standard 120 V wall outlet. A family

measured their monthly toaster usage to be 6.5 hrs.

1) How much electrical energy (in kilowatt hours - kWh) did the toaster dissipate

during the measured month? (round to 1 decimal place & do not include units)

2) If the local power company charges $0.13/ kWh, then calculate (in $) the monthly

total cost of this toaster. (round to 2 decimals & do not include units)

Answers

Answer:

1)  energy = 15.6 kWh,  2)    total_cost = $ 2.03

Explanation:

1) The energy dissipated is the product of the power and the time of use In a month it was used t = 6.5 h and the power of the toaster is

P = 2400 W = 2,400 kW

       energy = P  t

       energy = 2,400  6.5

        energy = 15.6  kWh

using rounding to a decimal

        energy = 15.6 kWh

2) The cost of energy is unit_cost = $ 0.13 / kWh

so the total cost

         total_cost = energy    unit_cost

         total_cost = 15.6   0.13

         total_cost = $ 2.028  

rounding to two decimal places

         total_cost = $ 2.03

HELP PLEASE
Find the net force necessary for a 15 kg object to accelerate at 20 m/s/s.

Answers

Answer:

The answer is 300 N

Explanation:

The force acting on an object given the mass and acceleration we use the formula

force = mass × acceleration

We have

force = 15 × 20

We have the final answer as

300 N

Hope this helps you

A charge of 8.4 × 10–4 C moves at an angle of 35° to a magnetic field that has a field strength of 6.7 × 10–3 T.

If the magnetic force is 3.5 × 10–2 N, how fast is the charge moving?

9.1 × 10–5 m/s
1.3 × 10–4 m/s
7.6 × 103 m/s
1.1 × 104 m/s

Answers

Answer:

the correct answer is D

Explanation:




A cold drink initially at 35°F warms up to 42°F in 2 min while sitting in a room of temperature 72°F. How warm will the drink be if left out for 20 min? °F. If the drink is left out for 20 min, it

Answers

To determine how warm the drink will be after 20 minutes, we can use the concept of thermal equilibrium and the rate at which the temperature changes.

Let's assume that the rate of temperature change follows a linear relationship, meaning that the temperature increases at a constant rate over time.In the given scenario, the drink initially at 35°F warms up to 42°F in 2 minutes while sitting in a room with a temperature of 72°F. We can calculate the rate of temperature change as follows:
Rate of temperature change = (Final temperature - Initial temperature) / Time taken
Rate of temperature change = (42°F - 35°F) / 2 minutes
Rate of temperature change = 7°F / 2 minutes
Rate of temperature change = 3.5°F/minute
Now, we can calculate the change in temperature for 20 minutes:
Change in temperature = Rate of temperature change * Time
Change in temperature = 3.5°F/minute * 20 minutes
Change in temperature = 70°F
To find the final temperature, we add the change in temperature to the initial temperature:
Final temperature = Initial temperature + Change in temperature
Final temperature = 35°F + 70°F
Final temperature = 105°F
Therefore, if the drink is left out for 20 minutes, it will warm up to a temperature of 105°F.

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two objects of equal mass are a fixed distance apart. if you halve the mass of each object which of the following is most likely the new gravitational force between them? A half the original force B one fourth of the force C one fourth more than the original force D double the original force

Answers

Answer:

A) half the original force

Circle the letter of each factor that determines whether a molecule
is polar or nonpolar.

a. the number of atoms in the molecule
b. the type of atoms in the molecule
c. the number of bonds in the molecule
d. the shape of the molecule

Answers

I believe the answer is C
Hope this helps you

Please answer!!! This is due today so please help me, thank you! :)

Please answer!!! This is due today so please help me, thank you! :)

Answers

the answer is d because in the graph the next process after uplift is weathering

gas particles can change to solid particles if the temperature

Answers

Gas particles can change to solid particles if the temperature decreases.

The state of matter of a substance is determined by its temperature and pressure. When the temperature of a gas decreases, its particles lose kinetic energy and slow down. This decrease in kinetic energy leads to a decrease in the average speed of gas particles.

As the temperature continues to decrease, the particles lose energy and move closer together. At a certain temperature known as the condensation point or the freezing point, the gas particles no longer have enough energy to overcome the intermolecular forces holding them together.

At this point, the gas undergoes a phase transition and changes into a solid. The process of gas turning into a solid is called condensation or freezing, depending on the specific substance.

During condensation, the gas particles arrange themselves in a more orderly and structured manner, forming a solid. The transition from gas to solid involves the release of energy, known as heat of fusion.

In summary, when the temperature of a gas decreases below its condensation or freezing point, the gas particles lose energy, slow down, and eventually come together to form a solid.

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A hollow sphere is filled with water. It is hung by a long thread. As the water flows out of a hole at its bottom, the period of oscillation will.

Answers

Answer:

The period wlll decrease - it will swing faster

The period of a simple pendulum is just

P = 2 π √(L / g)

However, with a compound pendulum one must also consider the moment of inertia about the center of mass at distance L.

As water drains from the sphere its moment of inertia about its point of suspension will decrease and the pendulum will swing faster

Technically  P =  2 π √I0 / M g L)

where I0 = M L^2 + Icm       Icm is moment of inertia about the center of mass -  if Icm = zero then P = 2 π √(L / g)     the simple pendulum

a 0.60 kg book slides on a horizontal table. the kinetic friction force on the book has magnitude 1.9 n .the book now slides 3.6 m to the right, returning to its starting point. during this second 3.6 m displacement, how much work is done on the book by friction?

Answers

The amount of work done on the book by friction during  its second 3.6 m displacement is 13.68 J.

To calculate the work done on the book by friction during its second 3.6 m displacement, we need to use the equation W = Fd, where W is the work done, F is the force applied, and d is the displacement.

We know that the kinetic friction force on the book has a magnitude of 1.9 N and that the book slides 3.6 m to the right and then returns to its starting point, so the total displacement is 7.2 m (3.6 m + 3.6 m).

To find the work done on the book by friction during this displacement, we can use the formula W = Fd. Plugging in the values, we get:

W = (1.9 N)(7.2 m)
W = 13.68 J

Therefore, the work done on the book by friction during its second 3.6 m displacement is 13.68 J.

In simpler terms, the friction force is constantly opposing the book's motion, causing it to slow down and eventually stop. As the book slides to the right and then returns to its starting point, the friction force is constantly acting in the opposite direction, resulting in negative work being done on the book. This negative work results in a decrease in the book's kinetic energy, causing it to eventually come to a stop. The amount of work done on the book by friction during this process is calculated using the formula W = Fd.

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A scientific theory is_____.
A. A well-tested explanation for a broad set of observations
B. A well-tested explanation for a widely accepted hypothesis
C. A proven explanation for the results of multiple experiments
D. A hypothesis that has stood the test of time

Answers

Answer:

B. A well-tested explanation for a widely accepted hypothesis

Explanation:

This is true about a scientific theory going by the fact of it being a well tested explanation. For example, in one of the Newtons law of motion which he stated to be "To every action, there is equal and opposite reaction", the hypothesis has been known till he was able to offer a well tested explanations with calculations showing that, it was actually true.



What is the distance between two objects if one (a 185,000 kg object) experiences a gravitational force of 0.00200 N due to a 225,000 kg object

Answers

Using the gravitational force, the mass of item 1 and object 2, and the Newton's law of gravity calculator, one may calculate the distance between two objects.

How is gravitational distance determined?

g = GM/r2, where M is the Earth's mass, r is its radius (or the distance from the Earth's center to where you are standing), and G is the gravitational constant. The gravitational constant is G (without the subscripts), while the speed of light is c.

How is the gravitational force between two objects calculated?

By applying Newton's equation, we can accomplish this quite easily: forcegravity is defined as G M m2 separation. Suppose that you weigh 60 kilograms and your colleague weighs 70 kilograms. The center-to-centre distance, r, is 1 m, and the gravitational constant, G, is 6.67 10 -11 newtons square meter kilogram-2.

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What is called in the interior of the Earth can be classified as primordial and radiogenic heat?.

Answers

Primordial heat and radiogenic heat are the two main sources of the Earth's interior heat. The disintegration of radioactive materials deep below the Earth's interior produces radiogenic heat.

The Earth's mantle and core contain these elements, including uranium, thorium, and potassium. These elements produce heat when they decompose, which is energy. The heat produced by the Earth since its origin 4.5 billion years ago is known as primordial heat. The energy generated during the Earth's birth as a result of the condensation of gas and dust from the solar nebula is what causes this heat. The heat generated by this process is still present in the Earth's interior and is what causes the Earth's surface to move.

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Low-energy lightbulbs currently cost $3.60, have a life of 9 years, and currently use $2.00 of electricity per year. Conventional lightbulbs are cheaper to buy; they currently cost only $0.60. On the other hand, they last only 1 year and currently use $7.00 of electricity per year. If the real discount rate is 4%, what are the EACs for each lightbulb? Which lightbulb is cheaper to operate assuming a burnt-out bulb is replaced by an identical bulb? a. EAC( Low-energy lightbulb )=2.48 EAC( Conventional lightbulb )=7.62 Low-energy lightbulb is cheaper to operate b. EAC( Low-energy lightbulb )=3.60 EAC( Conventional lightbulb )=0.60 Conventional lightbulb is cheaper to operate c. EAC( Low-energy lightbulb) =2.00 EAC( Conventional lightbulb )=7.33 Low-energy lightbulb is cheaper to operate d. EAC( Low-energy lightbulb )=18.47 EAC( Conventional lightbulb )=7.33 Conventional lightbulb is cheaper to operate

Answers

EAC( Low-energy lightbulb )=18.47 EAC( Conventional lightbulb )=7.33 Conventional lightbulb is cheaper to operate. Option D

Energy cost calculation

To calculate the Equivalent Annual Costs (EAC), we need to consider the initial cost, maintenance costs, and the present value of future costs, taking into account the discount rate.

The EAC (Equivalent Annual Cost) is calculated by summing up the annual costs of the lightbulb over its lifetime, discounted at the real discount rate of 4%.

For the low-energy lightbulb:

EAC = Cost of bulb + Present value of annual electricity cost

= $3.60 + ($2.00 / (1 + 0.04)^1) + ($2.00 / (1 + 0.04)^2) + ... + ($2.00 / (1 + 0.04)^9)

≈ $18.47

For the conventional lightbulb:

EAC = Cost of bulb + Present value of annual electricity cost

= $0.60 + ($7.00 / (1 + 0.04)^1) + ($7.00 / (1 + 0.04)^2) + ... + ($7.00 / (1 + 0.04)^1)

≈ $7.33

Since the EAC for the low-energy lightbulb is $18.47 per year and the EAC for the conventional lightbulb is $7.33 per year, the conventional lightbulb is cheaper to operate assuming a burnt-out bulb is replaced by an identical bulb.

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Suppose you rapidly stir some raw eggs with an eggbeater. The temperature of the eggs will A) increase. B) decrease. C) remain unchanged.

Answers

If you rapidly stir some raw eggs with an eggbeater, the temperature of the eggs will remain unchanged.

Humans and human ancestors have scavenged and eaten animal eggs for millions of years.

Humans in Southeast Asia had domesticated chickens and harvested their eggs for food by 1500 BCE.

The most widely consumed eggs are those of fowl, especially chickens. Eggs of other birds, including ostriches and other ratites, are eaten regularly but much less commonly than those of chickens.

People may also eat the eggs of reptiles, amphibians, and fish. Fish eggs consumed as food are known as roe or caviar.

The act of stirring will not generate any heat or cooling effect, and the temperature of the raw eggs will remain the same.

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A woodchuck runs 18 m to the right in 9 s, then turns and runs 13 m to the left in 4 s. (Assume motion to the right is positive. Where applicable, indicate the direction with the sign of your answer. Enter your answers in m/s.) (a) What is the average velocity of the woodchuck? (b) What is ns average speed?

Answers

(a)The average velocity of the woodchuck is 1 m/s to the right.

(b) The average speed of the woodchuck is 3.4 m/s.

(a) To calculate the average velocity, we need to find the total displacement and divide it by the total time taken. The woodchuck runs 18 m to the right in 9 s and then turns and runs 13 m to the left in 4 s.

The total displacement is the vector sum of these two displacements, which can be calculated by subtracting the leftward displacement from the rightward displacement: 18 m - 13 m = 5 m to the right.

The total time taken is 9 s + 4 s = 13 s. Therefore, the average velocity is the total displacement divided by the total time: 5 m / 13 s = 0.38 m/s to the right. Rounded to one decimal place, the average velocity is 0.4 m/s to the right.

(b) Average speed is calculated by dividing the total distance traveled by the total time taken. In this case, the woodchuck runs 18 m to the right and then 13 m to the left, resulting in a total distance of 18 m + 13 m = 31 m. The total time taken is 9 s + 4 s = 13 s.

Therefore, the average speed is the total distance divided by the total time: 31 m / 13 s ≈ 2.38 m/s. Rounded to one decimal place, the average speed is 2.4 m/s.

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Solue the Selmultaneous equations:
3y +2x =5 and y-5x = 13​

Answers

Answer:

x=-2 and y=3

Explanation:

Isolate y and then x to get: y=13+5(-2)

Simplify to get y=3 then plug it back in to get x=-2

We can check, 9+ (-4)=5 hope this helps

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