Answer:
3 pi R / s or 9.42 R/s or 540 degrees/sec
Explanation:
Ball covers 2 pi radians each rotation
2 pi * 3 R / 2 s = 3 pi R / s
the angular speed of the ball is 3 pi R / s or 9.42 R/s or 540 degrees/sec
What is angular speed ?Angular speed can be defined as the measures of speed of how fast the central angle of a rotating body changes with respect to time
Angular speed mainly implies how quickly the rotation of an object occur means it is described as the change in the angle of the object per unit of time.
To calculate the speed of a rotational motion the angular speed value need to be known, hence The angular speeds formula is used to calculate the distance traveled by an object in terms of rotation and revolutions per unit of time.
The unit of angular speed of an object is radian per second and Both angular speed, angular velocity are determined by using the same formula, angular velocity is vector quantity which describes both magnitude and direction.
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(a) Calculate the capacitance of a parallel-plate capacitor whose plates are 30. cm x 5.0 cm and are separated by a 3.0-mm air gap. (b) What is the charge on each plate if a 6-V battery is connected across the two plates? (c) What is the electric field between the plates? (d) Estimate the area of the plates needed to achieve a capacitance of 5F, given the same air gap d.
The answers to your questions are as written below
A) capacitance of a parallel plate capacitor = 442.5 * 10⁻¹³ F
B) The charge on each plate is = 2655 * 10⁻¹³ C
C) The electric field between the plates is ; 2 * 10³ N/C
D) The estimated area of the plates is ; 1.695 * 10⁹ m²
A) Calculate the capacitance of a parallel plate capacitor
Plate dimension = 30 cm * 5 cm
Air gap ( d ) = 3 mm = 3 * 10⁻³ m
First step : calculate the area of the plate
Area of plate = 30 * 10⁻²m * 5 * 10⁻² m
= 150 * 10⁻⁴ m²
Next step : determine the capacitance
Capacitance = ε₀A / d
= ( 8.85 * 10⁻¹² * 150 * 10⁻⁴ ) / 3 * 10⁻³
= 442.5 * 10⁻¹³ F
B) Calculate the charge on each plate if a 6-V battery is connectedcharge on each plate can be calculated with the formula below
Q = CV
= 442.5 * 10⁻¹³ * 6
= 2655 * 10⁻¹³ C
C) Determine the electric field between the platesElectric field between plates ( E ) = V / d
= 6 / 3 * 10⁻³
= 2 * 10³ N/C
D) Estimate the area of the platesRequired capacitance = 5 F
Air gap ( d ) = 3 * 10⁻³ m
applying the equation below
C = ε₀A / d -----
5 = ( 8.85 * 10⁻¹² * A ) / 3 * 10⁻³
Therefore A :
A = ( 5 * 3 * 10⁻³ ) / 8.85 * 10⁻¹²
= 15 * 10⁻³ / 8.85 * 10⁻¹²
= 1.695 * 10⁹ m²
Hence we can conclude that the answers to your questions are as written above.
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6 verify it in the laboratory. State Hooke's law. Describe how you can A force of 40 N stretches a wire through 30 cm. What force will stretch it through 5.00 and through what length will a force of 100N stretch it? What assumption have you made? State Hooke's law
Which of the following scenarios will generate electricity using electromagnetic induction?
A. a highly conductive meatal moving within magnetic field
B. a changing magnetic field surrounded by plastic wires
C. electricity Being applied to a magnet
Answer:
A generates electricity, the others do not
Explanation:
If a person is putting in 500 J of work in a 25 second period, how much power are they producing?
The denizens of a distant planet live under an atmosphere made predominantly of CO2 which is a dispersive medium while attending a concert which of the following would be true for a spectator seated in the back of a large amphitheater?
I. They would hear the low notes and high notes at different times
II. They would hear the low notes and high notes at the same time
Since the frequency of sound in a medium is constant, therefore, the concert-goers would hear the low notes and high notes at the same time.
What is a dispersive medium?A dispersive medium is a medium which spreads out or disperses a substance passing through it.
Since CO2 is a dispersive medium, it means sound waves passing through it would be dispersed based on wavelength.
The note of a sound depends on its frequency, the higher the frequency, the higher the note.
Frequency of sound is constant, therefore, the concert-goers would hear the low notes and high notes at the same time.
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A system of four capacitors is connected across a 90-V voltage source as shown in the figure.
(a) What is the potential difference across the plates of the 6.0-µF capacitor? (b) What is the charge on the 2.0-µF capacitor?
For a system of four capacitors is connected across a 90-V voltage source, the potential difference across the plates of the 6.0-µF and 2uF capacitors is mathematically given as
a) vd=30v
b) Q=119.7uc
What is the potential difference across the plates of the 6.0-µF and 2uF capacitors?Generally, the equation for the charge across 6uf is mathematically given as
Q=C6Vd
Where
1/c36=1/3+1/6
c36=2
Q3=2*90
Q3=180
Therefore
vd=180/6
vd=30v
In conclusion
1/c24=1/2+1/4
C24=1.33uf
Q2=1.33*90
Q=119.7uc
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8. A turtle crawls along a straight line, which we will call the x-axis with the positive direction to the right. The equation for the turtle's position as a function of time is x(t) = 5.0 cm + (4.00 cm/s) - (0.625 cm/s2)t2. (a) Find the turtle's initial velocity, initial position, and initial acceleration. (b) At what time is the velocity of the turtle zero? (c) How long after starting does it take the turtle to return to its starting point? (d) At what times t is the turtle a distance of 30.00 cm from its starting point? What is the velocity at each of these times?
(a) The turtle's initial velocity is 4 m/s, initial position of the turtle is 5 cm, and initial acceleration is -1.25 m/s².
(b) The time when the velocity of the turtle is zero is 3.2 s.
(c) The time taken for the turtle to return to its starting point is 6.4 s.
(d) The time taken for the turtle to travel 30 cm is 0.08 s.
Initial velocity of the turtleThe initial velocity of the turtle is calculated as follows;
[tex]v = \frac{dx}{dt} \\\\x = 5 + 4t -0.625t^2\\\\v(t) = 4 - 1.25t\\\\v(0) = 4-0\\\\v(0) = 4 \ m/s[/tex]
Initial acceleration of the turtleThe initial acceleration of the turtle is calculated as follows;
[tex]a = \frac{dv}{dt} \\\\v(t) = 4 - 1.25t\\\\a = -1.25\ m/s^2[/tex]
Initial position of the turtlex(t) = 5 + 4t - 0.625t²
x(0) = 5 cm
Time when the velocity becomes zerov(t) = 4 - 1.25t
0 = 4 - 1.25t
1.25t = 4
t = 4/1.25
t = 3.2 s
Time taken to return to starting pointThe total distance traveled is calculated as follows
v² = u² + 2ad
0 = (4)² + 2(-1.25)d
0 = 16 - 2.5d
2.5d = 16
d = 16/2.5
d = 6.4 m
Time to travel the given distance;
d = ut + ¹/₂at²
6.4 = (4)t + ¹/₂(-1.25)t²
6.4 = 4t - 0.625t²
0.625t² - 4t + 6.4 = 0
solve the quadratic equation using formula method;
t = 3.2 s
The time travel the distance two times, = 2 x 3.2 s = 6.4 s
Time taken for the turtle to travel 30 cmd = ut + ¹/₂at²
0.3 = (4)t + ¹/₂(-1.25)t²
0.3 = 4t - 0.625t²
0.625t² - 4t + 0.3 = 0
solve the quadratic equation using formula method;
t = 0.08 s
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The diagram below show the earth and the sun, as well as four different possible positions for the moon (Z, W, X, and Y). Where will the moon be during a SOLAR eclipse as seen from Earth?
Z
W
X
Y
Answer:
the moon will be in between the sun and the moon covering the earth view of the sun
During a phase change,the temperature remains constant although heat is still being added. what is the best explanation for what the heat energy is being used to do
During the phase change in which heat is being added but the temperature remains constant, the heat energy is used to break the bonds in the molecules.
What is a phase change?A phase change is the conversion of one state of matter to another. e.g. solid to liquid or liquid to gas.
Substances can exists in three states namely;
solidgaseousliquidIn a change of phase, heat energy is needed to break the existing bonds between the molecules of the initial state. For example, heat energy is needed to break the bonds of ice to form water.
However, during this phase change, the temperature remains constant.
Therefore, during the phase change in which heat is being added but the temperature remains constant, the heat energy is used to break the bonds in the molecules.
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Help please!
An object of mass m is oscillating with a period T. The position x of the object as a function of time is given by the equation x(t)=Acosωt . The maximum net force exerted on the object while it is oscillating has a magnitude F. Which of the following expressions is correct for the maximum speed of the object during its motion?
The correct expression for the maximum speed of the object during its motion is [tex]\frac{FT}{m}[/tex].
Maximum speed of the objectThe maximum speed of the object is determined using the following formulas;
v(max) = Aω
where;
A is the amplitude of the motionω is angular speedThe maximum speed of the object can also be obtained from the maximum net force on the object,
F = ma
where;
F is the maximum net forcea is the accelerationm is mass of the objectF = m(v/t)
mv = Ft
v = Ft/m
Thus, the correct expression for the maximum speed of the object during its motion is [tex]\frac{FT}{m}[/tex].
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Answer:
[tex]\frac{FT^{2} }{4\pi ^{2} }[/tex]
Explanation:
I just finished the AP Physics Exam and the other answer got the question wrong.
- A teenage male is removing clothes from the dryer and is having difficulty because the items are
sticking together.
-What force is causing the clothes to stick together?
-What two factors in the dryer operation has produced this situation?
-What will misting the clothes with a light spray of water do?
We can confirm that the clothes are sticking together due to static forces created by the heat and friction of the dryer.
How will water help with this situation?The clothes are stuck together due to static forces that arise when these materials are heated and the friction from the dryer cycle. Adding a light spray of water can help with this situation given that water is a strong conductor of electricity, which will help to dispel the charges that hold the clothes together.
Therefore, we can confirm that clothes are sticking together due to static forces created by the heat and friction of the dryer, which a light spray of water can help to dispel and separate the clothes.
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Relative gravitational potential energy depends on gravity, mass, and height measured from the ____.
Answer:
We dont have a understandable Ansewer for this
Explanation:
what is the centripetal acceleration of an air plug on a car tire 250 rpm raduius of 0.45 m
The magnitude of the centripetal acceleration of the air plug on a car tire is 308.43 m/s².
What is centripetal acceleration?
Centripetal acceleration of an object is the rate of change of object's velocity with time, and it is directed inwards.
The magnitude of the centripetal acceleration of the air plug on a car tire is calculated as follows;
ac = ω²r
where;
ω angular speed (rad/s)r is radius of the tireAngular speed in radian per second[tex]\omega = 250 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} \\\\\omega = 26.18 \ rad/s[/tex]
ac = (26.18)² x 0.45
ac = 308.43 m/s²
Thus, the magnitude of the centripetal acceleration of the air plug on a car tire is 308.43 m/s².
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is this right lol i think it is but im not so sure XD
[tex]\bold{Heya!}[/tex]
Yup. your answer is correct!
→ EXPLANATION :-1. just put the numbers in order [tex]^1^6^, ^1^8^,^2^3^,^2^4^,^2^9^,^3^0[/tex]2. Cross off high/low pairs, we left with the numbers :-[tex]23,24.[/tex]
3. Add the leftover numbers.[tex]23 \: + 24 = 47.[/tex]
Divide the sum of 2.[tex]\frac{47}{2} = 23.5[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
Answer:
GIVE HIM BRAINLEST
Microphones are used to convert sound vibrations to electrical signals. In one kind of microphone, sound waves move a coil of wire up and down in a magnetic field, as shown in (Figure 1). The coil shown has a diameter of 1.4 cm and has 100 turns; the 0.010 T magnetic field points radially out from the north pole to the south.
If the microphone's emf at some instant is 10 mV , what is the speed of the coil?
The speed of coil of the microphone is 0.227 m/s
What is a Microphones?
A microphone is a device used to transmit sound energy through electrical energy. it makes use of magnetic fields whose strength is measures in Tesla
Given data
D = 1.4cm = 0.014m
N = 100
B = 0.010T
emf = 10mV
speed = dx / dt = ?
solution
emf = N dΦ / dt
Φ = BA
A = 2 pi R x
R = D / 2 = 0.014 / 2 = 0.007
emf = N d ( B 2 pi R x ) / dt
emf = N B 2 pi R dx / dt
and dx / dt = speed
speed = emf / N B 2 pi R
speed = 10 * 10 ^ -3 / ( 100 * 0.010 * 2 * 3.142 * 0.007)
speed = 10 * 10 ^ -3 / ( 0.043988 )
speed = 0.227 m/s
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ε = vLB
v - velocity = ?
ε - emf = 10mV = 0.01V
B - magnetic field = 0.010 T
L - length of wire = find
Find L
N - turns of wire = 100
d = diameter = 1.4 cm = 0.014 m
L = circumference of 1 turn of wire * # of turns of wire
L = 2πr * N
L = πdN
L = π * 0.014 m * 100
L = 1.4π m
Return to main equation
ε = vLB
[tex]v = \frac{\epsilon}{LB}[/tex]
[tex]v = \frac{0.01}{(1.4\pi)*(0.010)}[/tex]
v = 0.227 m/s
divide 48 into the ratio 2:4
I need help with my earth and space science, ASAP! can someone please help?
Answer:
from what i got it is B
Hope This Helps
I will give brainlisted for the correct answer!
Friction helps your vehicle stop quickly.
A. TRUE
B. FALSE
Answer:
true
Explanation:
Friction helps your vehicle stop quickly. this statement ids true. Hence option A us correct. A vehicle can stop more rapidly because to friction. The brake pads rub on the turning braking discs or drums when the brakes are applied.
The friction slows the moving vehicle down and eventually causes it to halt by converting its kinetic energy into heat energy. The effectiveness of the braking action will increase with the level of friction between the brake parts. For rapid stops, friction between the tyre and the road is also important.
The vehicle's forward motion is opposed by friction created by the tyres' gripping action on the road surface, which helps in stopping and decelerating. Rapid vehicle stopping would be incredibly difficult and risky without friction.
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Select all the correct answers.
A worker is holding a filled gas cylinder still. Which two sentences are true about the energy of the filled gas cylinder?
it has no energy because it's being held still
It has gravitational potential energy because of its height.
its atoms and molecules have thermal energy
It has motion energy because it will fall if let go
its kinetic energy is being converted to potential energy
ghts reserved
it has no energy because its being held still
it has motion energy because it will fall if let go
7- A gas is contained in a vertical, frictionless piston-cylinder device. The piston has a mass of 4 kg and a cross-sectional area of 35 cm^2. A compressed spring above the piston exerts a force of 60 N on the piston. If the atmospheric pressure is 95 kPa, Determine the pressure inside the cylinder.
can i get some help please
Answer:
B. They reproduce
Explanation:
Both arent made up of one cell, and both arent made up of mutliple cells. Only some unicellular and multicellular organisms are infectious.
Answer:
Your answer would be:
B.) They reproduce.
Unicellular organisms are made up of only one cell that carries out all of the functions needed by the organism, while multicellular organisms use many different cells to function. Multicellular organisms are composed of more than one cell, with groups of cells differentiating to take on specialized functions.
Unicellular organisms are made up of only one cell that carries out all of the functions needed by the organism. Multicellular organisms use many different cells to function.
Unicellular organisms are single-celled.
Multicellular organisms are multi-celled.
However, both reproduce.
Explanation:
Have a great rest of your day
#TheWizzer
Jaden rides his motorcycle at an average speed of 21 meters/second for 520 seconds , how far did he ride?
Answer:
10,920 meters
Explanation:
distance = speed × time
which is, d = 21 × 520
Answer:
10920
Explanation:
distance traveled= 21 (speed) ×520 (time)
=10920
1- Show that the equation d=vt2
dimensionally correct or not?
Give Reason during change of state,the temperature remains constant
Answer:
the substance has lost or gained an ion
Explanation:
I say substance be cause I'm referring to the item are the same are similar to the substances that make up make matter like the ones on the periodic table!
What role does your chosen reaction play in your life? Combustion
Answer:
When fuels burn in combustion reactions, they release useful thermal energy (heat). Combustion reactions are used to heat our homes, power most cars, and to generate a lot of our electricity.
Energy production from the reaction is what drives life and human greed. We stay alive by eating carbon-rich compounds, which are then burned in a spectacularly controlled and efficient manner to provide us with energy. It is the all-important energy term in the combustion equation that has made life on Earth possible
a current of 180 mini amphere passes through a conductor for 5minute calculate the quantity of electricity transported
Answer:
Explanation:
You can calculate the total electric charge that passes through the conductor as [tex]q=It=(180\times 10^{-3})(5\times 60)= 54 C[/tex]. It means that the number of electron that passes through the conductor is:
[tex]n=\frac{q}{e}=\frac{54}{1.6\times 10^{-19}}=33.75\times 10^{19}[/tex]
Which of the rays drawn above would be correct as the light goes from the air into the water?
Answer:
the answer to this question is option c
there process which eventually takes place is called refraction
Explanation:
please do consider as brainlest if useful
4. A swimming pool has dimensions 30 meters by 10 meters and a flat bottom. When the pool is filled to a depth of 2 meters with fresh water, what is the total force due to the water on the bottom?
Answer:
The force exerted by fresh water at the bottom is [tex]5.88*10^6Nm^2[/tex]
All my work is shown in the Picture*
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In the image, not to scale, which phase of the moon would you observe from earth?
Answer:
The "new" moon phase is being shown because the moon shown is directly between the sun and earth and is not visible from the earth because of the brightess of the sun.