Answer:
[tex]a=368.97\ m/s^2[/tex]
Explanation:
Given that,
Initial angular velocity, [tex]\omega=0[/tex]
Acceleration of the wheel, [tex]\alpha =7\ rad/s^2[/tex]
Rotation, [tex]\theta=14\ rotation=14\times 2\pi =87.96\ rad[/tex]
Let t is the time. Using second equation of kinematics can be calculated using time.
[tex]\theta=\omega_it+\dfrac{1}{2}\alpha t^2\\\\t=\sqrt{\dfrac{2\theta}{\alpha }} \\\\t=\sqrt{\dfrac{2\times 87.96}{7}} \\\\t=5.01\ s[/tex]
Let [tex]\omega_f[/tex] is the final angular velocity and a is the radial component of acceleration.
[tex]\omega_f=\omega_i+\alpha t\\\\\omega_f=0+7\times 5.01\\\\\omega_f=35.07\ rad/s[/tex]
Radial component of acceleration,
[tex]a=\omega_f^2r\\\\a=(35.07)^2\times 0.3\\\\a=368.97\ m/s^2[/tex]
So, the required acceleration on the edge of the wheel is [tex]368.97\ m/s^2[/tex].
The radial component of the acceleration (in m/s2) on the edge the wheel is 369.45 m/s²
Using ω² = ω₀² + 2αθ, we find the final angular speed after 14 revolutions, ω where
ω₀ = initial angular speed = 0 rad/s (since the wheel starts from rest), α = angular acceleration = 7 rad/s and θ = number of revolutions = 14 = 14 rev × 2π rad/rev = 87.965 rad.So, substituting the values of the variables into the equation, we have
ω² = ω₀² + 2αθ,
ω² = (0 rad/s)² + 2 × 7 rad/s² × 87.965 rad.
ω² = 0 rad²/s² + 1231.504 rad²/s²
ω² = 1231.504 rad²/s²
ω = √(1231.504 rad²/s²)
ω = 35.09 rad/s
We know that the radial acceleration a = rω² where
r = radius of wheel = diameter of wheel/2 = 60 cm/2 = 30 cm = 0.30 m and ω = final angular acceleration of wheel = 35.09 rad/s.So, substituting the values of the variables into the equation, we have
a = rω²
a = 0.30 m × (35.09 rad/s)²
a = 0.30 m × 1231.504 rad²/s²
a = 369.45 m/s²
So, the radial component of the acceleration (in m/s2) on the edge the wheel is 369.45 m/s².
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A 25 kg box on a horizontal frictionless surface is moving to the right at a speed of 5.0 m s. The box hits and remains attached to one end of a spring of negligible mass whose other end is attached to a wall. As a result, the spring compresses a maximum distance of 0.60 m. (a) i. The spring does work on the box from the moment the box first hits the spring to the moment the spring first reaches its maximum compression. Indicate whether the work done by the spring is positive, negative, or zero.
Answer:
Explanation:
Work done by the spring is negative .
Work done by force F creating displacement d is given by the following expression .
Work = F x d
Both force and displacement are vector quantity .
When direction of force and direction of displacement is same , work is positive . When direction of force and direction of displacement is opposite , work is negative .
When spring is compressed , it exerts a restoring or opposing force in a direction opposite to the direction of displacement of box . Hence here force is opposite to displacement . Restoring force acts opposite to displacement . Hence work done by spring on box is negative .
Nancy walks 100 m west and then 60 m east. What is Nancy's displacement?
Answer:
40m to the East
Explanation:
Displacement is the distance moved in a specific direction. When writing the displacement value of a moving body, the direction must be put in the description.
Displacement takes into account the start and finish position of a body.
100m
Start -------------------------------------------------------------- →
60m
Final ←----------------------------------
Displacement = 100m - 60m = 40m
Therefore, the displacement is 40m due east
If the column of mercury in a barometer stands at 72.6 cm, what is the atmospheric pressure?
(The density of mercury is 13.6 X 103 kg/m3 and g = 9.80 m/s2)
Answer:pressure = density * acceleration due to gravity * height
H=72.6cm= 0.726m
P=0.726*13.6*10^3*9.8
P=96761.28Pa
Explanation:
The atmospheric pressure if the column of mercury in a barometer stands at 72.6 cm is 9.68 × 10⁴ Pa.
What is Pressure?The stress at a location within a confined fluid or the perpendicular force per unit area are the two definitions of pressure used in the physical sciences. A 42-pound box with an area of 84 square inches at the bottom will apply pressure on a surface equal to the force divided by the surface area.
Given:
The height in the barometer, h = 72.6 cm or 0.726 m,
The density of mercury, d = 13.6 × 10³ kg/m³,
The gravitational acceleration, g = 9.80 m/s²,
Calculate the atmospheric pressure by the following formula,
P = dgh
Here, P is the atmospheric pressure
Substitute the values,
P = 13.6 × 10³ × 9.80 × 0.726
P = 9.68 × 10⁴ Pa,
Therefore, the atmospheric pressure if the column of mercury in a barometer stands at 72.6 cm is 9.68 ×10⁴ Pa.
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Which observation is the best evidence that some colors of visible light are
being absorbed in this photo?
A. The man's head is distorted under the water.
B. The top of the man's head appears disconnected.
C. The shape of the man's arm is clearly seen underwater.
D. The snorkel in the man's mouth appears yellow.
Answer:
D-The snorkel in the mans mouth appears yellow
Explanation:
Answer D is the only example related visible light being absorbed.
Which of the following statements best represents a comparison of the two motions shown on the graph?
A. the top line represents a greater acceleration
B. the bottom line represents a greater acceleration
C. the top line represents a greater velocity
D. the bottom line represents a greater velocity
Answer:
C. the top line represents a greater velocity
Explanation:
The graph is a distance - time graph.
The distance is on the y-axis and time is on the x - axis.
For this graph, the slope is the velocity.
The steeper the line, the higher the velocity or the higher the slope. Since the upper line is steeper, it will have a higher slopeHence a greater velocityThe lower line is not so steep and its slope is lesser compared to the upper one.
New 5G networks utilize millimeter-wave radiation. Millimeter-wave radiation refers to electromagnetic waves with frequencies in the range of 30-300 GHz. What are the free-space wavelengths that correspond to this frequency range
Answer:
It corresponds to 1mm-10 mm range.
Explanation:
Electromagnetic waves (such as the millimeter-wave radiation) travel at the speed of light, which is 3*10⁸ m/s in free space.As in any wave, there exists a fixed relationship between speed, frequency and wavelength, as follows:[tex]v = \lambda * f (1)[/tex]
Replacing v= c=3*10⁸ m/s, and the extreme values of f (which are givens), in (1) and solving for λ, we can get the free-space wavelengths that correspond to the 30-300 GHz range, as follows:[tex]\lambda_{low} = \frac{c}{f_{high}} = \frac{3e8m/s}{300e9Hz} = 1 mm (2)[/tex]
[tex]\lambda_{high} = \frac{c}{f_{low}} = \frac{3e8m/s}{30e9Hz} = 10 mm (3)[/tex]
A He-Ne laser produces 633 nm light.
When it passes through a diffraction
grating with d = 5.55 x 10^-6 m, what is
the angle of its third order (m = 3)
maximum?
Answer:
20.0086
Explanation:sin^-1(3×633×10^-9)÷5.55×10^-6Answer:
20.0086
Explanation:
Acellus
Which ray diagram demonstrates the phenomenon of absorption?
Answer:
B
Explanation:
The ray diagram demonstrated the phenomenon of absorption in B. Hence, option B is correct.
What is absorption?Absorption is the phenomenon of electromagnetic radiation taking up the energy of photons and it also transfers the electromagnetic energy to the internal energy of the absorber.
Absorption refers to the transfer of the energy of a wave to matter as the wave passes through it. The process in which the light waves get converted into energy. Absorption causes attenuation of the waves and the intensity decreases gradually when the light waves propagate through the medium.
From the given, the first diagram represents the light passes through the slit, it gets diffracted and forms alternate bright and dark fringes in the screen. The third diagram represents that the light ray strikes the surface it gets reflected and the path of light gets changed.
Thus, the absorption is the ray diagram given in the second image. Hence, option B is correct.
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What is your average velocity after going 15 meters east followed by 20 meters
west in 10 seconds?
Answer:
0.5 m/s
Explanation:
Velocity = displacement/time taken
going 15 meters east and then 20 meters west gives a displacement of 5 meters.
Velocity v = 5/10
= 0.5 m/s
What is my name?:
I am a god
I am a guardian of the sun
I am used to measure heat.
Answer:
Apllo?
Explanation:
What's the effect of mass and speed on kinetic energy
Answer:
The relationship between Kinetic energy, mass and speed indicates that kinetic energy and mass are proportional. This proportionality implies that if the mass is doubled, its kinetic energy is doubled too. More generally, if two objects move with the same speed the most massive one has the higher kinetic energy
Explanation:
arrange the values according to magnitude
1.8 X 10^5
4.3 X 10^-2
8.4 X 10^-6
9.0 X 10^-6
59000
Answer:
[tex]59000[/tex]
[tex]1.8\times 10^5[/tex]
[tex]4.3\times 10^{-2}[/tex]
[tex]9.0\times 10^{-6}[/tex]
[tex]8.4\times 10^{-6}[/tex]
Explanation:
The given numbers are
[tex]1.8\times 10^5=18000[/tex]
[tex]4.3\times 10^{-2}=0.043[/tex]
[tex]8.4\times 10^{-6}=0.0000084 [/tex]
[tex]9.0\times 10^{-6}=0.000009[/tex]
[tex]59000[/tex]
The arrangement of the numbers from largest to smallest is
[tex]59000[/tex]
[tex]1.8\times 10^5[/tex]
[tex]4.3\times 10^{-2}[/tex]
[tex]9.0\times 10^{-6}[/tex]
[tex]8.4\times 10^{-6}[/tex].
hii Happy New year can you all please answer this
Answer:
truuuuuuuuuuuuueeeeeeeee
The average velocity of a tennis ball is measured during serving and found to be 216 km/hr.
Calculate the time elapsed between hitting the ball and meeting the ground if the distance covered by the ball during that interval is 20m
PLEASE ANSWER WITH EXPLANATION :)
Answer:
The time between hitting the ball and meeting the ground is [tex]t=0.33\: s[/tex]
Explanation:
We have a semi parabolic motion here. We know that the initial speed 216 km/h or 60 m/s in the x-direction.
So we can use the following equation:
[tex]v=\frac{\Delta x}{\Delta t}[/tex]
[tex]60=\frac{20}{t}[/tex]
[tex]t=\frac{20}{60}[/tex]
[tex]t=0.33\: s[/tex]
hope it helps you!
58) Two balls, A and B are simultaneously projected from the top
of a building at 10 mis upwards & 20 m/s downwards respectively. Find
out the separation btwn them 3 sec after projection.
Answer:
90 m
Explanation:
For ball A::
The equation of a ball moving upwards is given by the formula:
s = ut - (1/2)gt²
where u is the initial velocity, t is the time covered, g is the acceleration due to gravity = 10 m/s² and s is the distance travelled.
Given that:
u = 10 m/s, t = 3 sec, g = 10 m/s², hence:
s = (10 * 3) - (1/2) * 10 * 3²
s = 30 - 45
s = -15 m
The negative sign means the object travels in the opposite direction. Hence s = 15 m
For ball B::
The equation of a ball falling downwards is given by the formula:
s = ut + (1/2)gt²
Given that:
u = 10 m/s, t = 3 sec, g = 10 m/s², hence:
s = (10 * 3) + (1/2) * 10 * 3²
s = 30 + 45
s = 75 m
Hence the separation between the two balls after 3 sec of projection = 15 m + 75 m = 90 m
6.
A runner completed the 100.-meter dash in
10.0 seconds. Her average speed was
A) 10.0 m/s
B) 1,000 m/s
C) 0.100 m/s
D) 100 m/s
Answer:
A) 10.0 m/s
Explanation:
the formula for average speed is v=d/t
the distance is 100 meters
The time is 10.0 seconds
so v=100m/10.0s
= 10.0m/s
so the runners average speed was 10.0m/s
The average speed of the runner is equal to 10.0 m/s. Therefore, option (A) is correct.
What is speed?The speed of a body can be described as the distance covered in a definite time interval. The average speed can be defined as a scalar parameter as it possesses magnitude with no direction.
The speed can be determined from the ratio of the distance traveled by the object to the time taken to travel that distance.
The speed of any object can be calculated from the formula equation mentioned below:
Speed = total distance /time taken
Given, the distance covered by the runner = 100 m
The time taken by the runner, t = 10.0 s
The average speed of the runner can be calculated from the formula as shown below:
Speed = 100/10 = 10 m/s
Therefore, the average speed of the runner is 10.0 m/s.
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An electric eel develops a 450 V potential difference between its head and tail. The eel can stun a fish or other prey by using this potential difference to drive a 0.80 A current pulse for 1.0 ms. What are (a) the energy delivered by this pulse and (b) the total charge that flows
Answer:
(a) The energy delivered by the pulse is 0.36 J
(b) the total charge that flows is 0.8 mC
Explanation:
Given;
potential difference of the electric eel, V = 450 V
current flow, I = 0.8 A
time of current flow, t = 1.0 ms = 1.0 x 10⁻³ s
(a) The energy delivered by the pulse is calculated as;
E = Pt
where;
t is time
P is power developed = IV
E = (IV)t
E = IVt
where;
I is the current
V is the potential difference
E = 0.8 x 450 x 1.0 x 10⁻³
E = 0.36 J
(b) the total charge that flows is calculated as;
Q = It
where;
I is the current
t is the time
Q = 0.8 x 1.0 x 10⁻³
Q = 0.0008 C
Q = 0.8 mC.
importance of choke coil?
Answer:The choke coil works because it can act as an inductor. When the current pass through will change as AC currents creates a magnetic field in the coil that works against that current. This is known as inductance and blocks most of the AC current from passing through.
Explanation:
The properties of elements can be predicted by which of the following?
Answer:
1 Answer. The Periodic Table can predict the properties of new elements, because it organizes the elements according to their atomic numbers. Creating new elements is not a simple process. Scientists use a particle accelerator to smash light atoms into a thin metallic foil that contains heavier atoms.
Explanation:
PLEASE ANSWER ASAP BEFORE MY TEACHER AND MY MOM KILLES ME PLEASE ASAP
The first person with the right answer gets to be a brainlest
In the attachment there is a density column where there is colour
Question: tell me why is the red at the bottom of the density column if it is the least dense
Explanation: That is not meant to be red, it‘s the bottom of the beaker. The star is at the very bottom of the beaker. it’s just the base of the beaker.
The largest planet in the solar system is Jupiter,with a diameter of 71,398 km. What is the diameter of Jupiter in centimeters?
Answer:7139800000
Explanation:
The largest planet in the solar system is Jupiter. Its equatorial diameter is approximately 143,000 kilometres (ca. 88,856 mi miles).
What diameter of Jupiter in centimetres?Jupiter is a gas giant because it consists largely of gas and liquid, as opposed to solid substance. With an equator diameter of 142,984 kilometres (88,846 mi), it is the solar system's biggest planet.
About 80% of Jupiter is hydrogen, and 20% is helium. Over a solid core, a thick layer of liquid hydrogen is covered by swirling gas. At 1,000 kilometres below the cloud layer's outer edge, there is a lot of pressure. The hydrogen gas changes into a liquid there.
Therefore, By squaring the scale factor for length, the scale factor for area may be calculated. Consequently, s2 is the scale factor for area. If the situation is the opposite, a solution to the issue under investigation is offered. The area scale factor is 2.
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Egg A is dropped from a height of 1m onto the floor. Egg B is dropped from a height of 1m into a bucket of water. Which statement
correctly describes why Egg B does not break?
Answer:
maybe it's because a bucket of water has more density than egg B
Answer:
Egg B experiences less force over a shorter time
Explanation:
What are homophones?
words that are spelled incorrectly several times in one paper
words that are spelled exactly as they sound
words that have different meanings depending on how they are used
words that have the same sound but different spellings and meaning
Answer:
words that have the same sound but different spellings and meaning
Explanation:
Homophones are generally words that sound the same but have different spellings and even meaning.
For example the words new and knew are homophones.
They have the same sound when pronouncing but their meaning is different.
Also, the words bawl and ball are homophones.
We see that both words have very similar pronunciation but their meanings are completely different.
The force of water flowing over a dam spillway is to be measured in a geometrically similar small-scale laboratory model. The width of the prototype is 30 m and the width of the model is 2 m. If the force on the model spillway is measured to 10 kN, the expected force on the prototype spillway for dynamically similar conditions is:
Answer:
Jay shree krishna j to the same time kr rhe h u have UCC fm rob and studing a few minutes ago
PLEASE ANSWER ASAP BEFORE MY TEACHER AND MY MOM KILLES ME PLEASE ASAP
The first person with the right answer gets to be a brainlest
In the attachment there is a density column where there is colour
Question: tell me why is the red at the bottom of the density column if it is the least dense
Answer:
because it’s on the bottom, and to get to that part of it, think of it like that scene from moana when they go down into the realm of monsters they go through the thick parts to get to the thin parts, soo the cube wouldn’t be nearly able to reach that level
Explanation:
Answer:
the red at the bottom should not count, but the red at the top is the least dense because it floats upon the other liquids
Explanation:
hope this helps
Two forces whose resultant is 100newton are perpendicular to each other. If one of them makes an angle of 60newton with the resultant. Calculate it magnitude
Answer:
100 N
Explanation:
Given that,
Two forces whose resultant is 100newton are perpendicular to each other.
If one of them makes an angle of 60newton with the resultant.
[tex]F_1=100\times \sin60=86.60\ N[/tex]
and
[tex]F_2=100\times \cos60=50\ N[/tex]
The magnitude of force,
[tex]F=\sqrt{F_1^2+F_2^2} \\\\F=\sqrt{86.6^2+50^2} \\\\F=99.99\ N[/tex]
or
F = 100 N
So, the magnitude of force is 100 N.
_H₂ + O₂- _ H₂O. how do you balance this equation
Answer:
first balance hydrogen.
Explanation:
2H2+O2---->2H2O
Answer:
2H^2 + 2H^2O
Explanation:
Put a 2 in front of both H's and the H's will be 4 and the O's will be 2. The chemical equation is balanced.
Which is not part of a DC motor?
Answer:
The correct answer to the question will be compass i.e compass is not a part of a DC motor. Various parts of a DC motor are coil of wire, armature, field magnets, brushes and commutator. The coil of wire plays a vital role in DC motor.
Explanation:
Which of the moon's properties prevents it from being pulled inward by Earth?
O gravity
O inertia
O shape
O structure
Answer:
O inertia
Explanation:
The moon's property that prevents it from being pulled inward by the Earth is called it's inertia.
Every object in the universal space have gravitational force of attraction to one another due to their masses.
An inertia is the reluctant of a body to move or the tendency of it to remain in constant motion.
Inertia entails the property of objects to remain at rest or continue in uniform motion.
As the force of gravity acts between the earth and the moon, inertia keeps a body in constant position.
a student attaches a 0.5 kg object to a 0.7 m string and rotates the object around her head and parallel to the ground. how much tension force is required to make the object rotate with a speed of 12 m/s?
The object would have a centripetal acceleration a of
a = (12 m/s)² / (0.7 m) ≈ 205.714 m/s²
so that the required tension in the string would be
T = (0.5 kg) a ≈ 102.857 N ≈ 100 N
(rounding to 1 significant digit)