Answer:
If both the radius and frequency are doubled, then the tension is increased 8 times.
Explanation:
The radial acceleration ([tex]a_{r}[/tex]), measured in meters per square second, experimented by the moving end of the string is determined by the following kinematic formula:
[tex]a_{r} = 4\pi^{2}\cdot f^{2}\cdot R[/tex] (1)
Where:
[tex]f[/tex] - Frequency, measured in hertz.
[tex]R[/tex] - Radius of rotation, measured in meters.
From Second Newton's Law, the centripetal acceleration is due to the existence of tension ([tex]T[/tex]), measured in newtons, through the string, then we derive the following model:
[tex]\Sigma F = T = m\cdot a_{r}[/tex] (2)
Where [tex]m[/tex] is the mass of the object, measured in kilograms.
By applying (1) in (2), we have the following formula:
[tex]T = 4\pi^{2}\cdot m\cdot f^{2}\cdot R[/tex] (3)
From where we conclude that tension is directly proportional to the radius and the square of frequency. Then, if radius and frequency are doubled, then the ratio between tensions is:
[tex]\frac{T_{2}}{T_{1}} = \left(\frac{f_{2}}{f_{1}} \right)^{2}\cdot \left(\frac{R_{2}}{R_{1}} \right)[/tex] (4)
[tex]\frac{T_{2}}{T_{1}} = 4\cdot 2[/tex]
[tex]\frac{T_{2}}{T_{1}} = 8[/tex]
If both the radius and frequency are doubled, then the tension is increased 8 times.
If both the radius and frequency are doubled, then the tension will be increased 8 times.
From kinematic formula:
[tex]\bold {a_r = 4\pi r^2 \times f^2 \times R^2}[/tex] .............................. (1)
Where:
f - Frequency,
R - Radius of rotation,
From Second Newton's Law,
[tex]\bold {\sum F = T = m\times a_r }[/tex] ......................... (2)
Where
m is the mass of the object,
From equation 1 and 2,
[tex]\bold {T = m\times 4\pi r^2 \times f^2 \times R^2}\\[/tex] .................... (3)
From equation, tension is directly proportional to the radius and the square of frequency.
Then, if radius and frequency are doubled, then the ratio between tensions is:
[tex]\bold {\dfrac {T_2}{T_1} = (\dfrac {F_2}{F_1})^2 \times \dfrac {R_2}{R_1} = 4 \times 2 = 8 }[/tex]
Therefore, If both the radius and frequency are doubled, then the tension will be increased 8 times.
To know more about frequency,
https://brainly.com/question/24864018
Please can I have help. This was ment to be due 1 week ago
Answer:
water can be used as displacement to calculate the volume of a solid object.
Answer: If the object has an irregular shape , the volume can be measured using a displacement can . The displacement can is filled with water above a narrow spout and allowed to drain until the water is level with the spout. As the irregular object is lowered into the displacement can, the water level rises.
Explanation: google
If a permanent magnet picks up a steel paper clip, the paper clip also
becomes a magnet. How does an electromagnet differ from the magnetized
paper clip?
A. An electric current can run through a permanent magnet to
magnetize the steel paper clip, but an electric current cannot run
through the paper clip.
B. A magnet does not form when an electric current interacts with a
magnetic field, but a magnet will form when an electromagnet
interacts with a permanent magnet.
C. An interaction between electricity and magnetism produces an
electromagnet, while a permanent magnet induces the paper clip's
magnetic field.
D. An interaction between electricity and magnetism induces the
paper clip's magnetic field, while an electromagnet is produced by
a permanent magnet.
An interaction between electricity and magnetism produces an
electromagnet, while a permanent magnet induces the paper clip's
magnetic field. Hence, option (C) is correct.
What re permanent magnet and electromagnet?An object that can generate a magnetic field, attract unlike poles, and repel like poles is referred to as a magnet.
Magnets that are frequently utilised are permanent magnets. Because they maintain their magnetic quality after being magnetised, they are referred to as permanent magnets.
A coil of wire is used to create electromagnets (wire curled in series). This generates a magnetic field more effectively than a wire running straight. By tightly winding a wire around a strong magnetic core formed of an iron-based substance, this effect can be amplified. In the image above, a coil is seen wrapped around an iron nail. The iron nail is not magnetic on its own.
Learn more about magnet here:
https://brainly.com/question/2841288
#SPJ5
Why is an iron bolt attracted to a magnet?
A. When it is in a magnetic field, it becomes a temporary magnet.
B. It becomes a temporary magnet, whether or not it is in a magnetic
field.
C. It is attracted to Earth's magnetic field, which is always present.
D. When it is in a magnetic field, it becomes a permanent magnet.
Please, asap
Answer:
A. When it is in a magnetic field, it becomes a temporary magnet.
Explanation:
An iron bolt is attracted to a magnet because when in a magnetic field, the iron becomes a temporary magnet.
This is because the iron aligns their electrons in the magnetic fields.
This causes that attraction between the magnet and the iron. Metals like iron are said to be ferromagneticUnpaired electrons in iron spin in such a way that they align with the magnetic fields of the magnet.Consider this situation: A team of landscapers pull an
unplanted tree across the lawn. Of the forces listed, identify
which act upon the tree.
Normal
Gravity
Applied
Friction
Tension
Air Resistance
Answer:
Explanation:
all
DESPERATE WILL GIVE BRAINLIST AND THANKS
The Cenozoic Era was the “age of the dinosaurs.”
Question 2 options:
True
False
What is one way that potential energy might be involved in rescue team missions?
Answer:
You may be saving someone from a rock slide, where the rocks will fall at any time, before they fall they have potential energy.
Explanation:
Calculate the final velocity of a 12Kg object falling 20 m.
Answer:
19.80 m/s
Explanation
you just multiply the acceleration of gravity by the amount of time since it was let go of. So you get: velocity = 19. 80 m/s^2 * time, or V = gt. The negative sign just means that the object is moving downwards.
Plz help Select ALL of the objects that are accelerating?
1 An apple falling off of a tree that speeds up as it falls towards the ground
2 A racecar driving at a speed of 100 miles/hour as it goes around a curve in the racetrack
3 A beam of light traveling from the sun to the Earth at a speed of -300,000,000 meters/second
4 A bus that is slowing down as it approaches the bus stop
where can nuclear fusion be found
Answer:
In the core of stars
Explanation:
Nuclear fusion is usually found in the cores of stars.
In nuclear fusion, there is a combination of atomic nuclei to form a larger one.
The process is accompanied with the release of a large amount of energy. The energy released is used to set up another fusion reaction. In the sun, two hydrogen nuclei are combining to give a helium nuclei with the release of a large amount of energy.Answer:
Nuclear fusion of hydrogen to form helium occurs naturally in the sun and other stars.
You drive a bumper car into another bumper car whose driver has a much larger body mass than you do. Who experiences more of a jolt, you or the other driver?
Answer:
both drivers experience the same force. just with different "results"
Explanation:
Answer:
You do
Explanation:
Momentum is mass*velocity. So Newton's 3rd law equal and opposite reaction. Because you weigh less you will have more force act on you than the driver who weighs more.
Your science class is going to play a game of tug-of-war and you need to divide up the teams. There are 11 people participating. If you want equal teams, how would you decide who is on which side and why? Use what you have learned about Newton's Laws of motions to explain. I’ll give brainly
Answer: You would divide the kids up by how much they weighed in mass until you would get and equal weight for both teams so the tug of war match would be equal.
Explanation:
Since the goal is to have equal teams, the kids would be divided based on their weights until both teams have equal weight.
There are three Newton's law of motion. The first law is that an object will not alter its motion unless there's a force that acts on it.
In the second law, an object's force equals the mass multiplied by the acceleration. The third law explains that when there is an interaction between two objects, forces are applied.
Since there are 11 people participating and the person wants equal teams, the kids would be divided based on their weights. This is to ensure that the total weights for both teams are the same.
Read related link on:
https://brainly.com/question/13532462
Why does ice change into water on heating ?
Answer:
Explanation:
Changing states of matter and energy
A block of ice is solid water. When heat (a form of energy) is added, the ice melts into liquid water. If heat is removed from water vapour, the gas cools down and it condenses back into liquid water. Continue to cool the water (by removing heat), and it becomes solid ice.
plz mark as brainliest
Water (density = 1x10^3 kg/m^3) flows at 15.5 m/s through a pipe with radius 0.040 m. The pipe goes up to the second floor of the building, 3.5 m higher, and the pressure remains unchanged. What is the speed of the water flow in the pipe on the second floor?
Answer:
The speed of the water flow in the pipe on the second floor is approximately 13.1 meters per second.
Explanation:
By assuming that fluid is incompressible and there are no heat and work interaction through the line of current corresponding to the pipe, we can calculate the speed of the water floor in the pipe on the second floor by Bernoulli's Principle, whose model is:
[tex]P_{1} + \frac{\rho\cdot v_{1}^{2}}{2}+\rho\cdot g\cdot z_{1} = P_{2} + \frac{\rho\cdot v_{2}^{2}}{2}+\rho\cdot g\cdot z_{2}[/tex] (1)
Where:
[tex]P_{1}[/tex], [tex]P_{2}[/tex] - Pressures of the water on the first and second floors, measured in pascals.
[tex]\rho[/tex] - Density of water, measured in kilograms per cubic meter.
[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Speed of the water on the first and second floors, measured in meters per second.
[tex]z_{1}[/tex], [tex]z_{2}[/tex] - Heights of the water on the first and second floors, measured in meters.
Now we clear the final speed of the water flow:
[tex]\frac{\rho\cdot v_{2}^{2}}{2} = P_{1}-P_{2}+\rho \cdot \left[\frac{v_{1}^{2}}{2}+g\cdot (z_{1}-z_{2}) \right][/tex]
[tex]\rho\cdot v_{2}^{2} = 2\cdot (P_{1}-P_{2})+\rho\cdot [v_{1}^{2}+2\cdot g\cdot (z_{1}-z_{2})][/tex]
[tex]v_{2}^{2}= \frac{2\cdot (P_{1}-P_{2})}{\rho}+v_{1}^{2}+2\cdot g\cdot (z_{1}-z_{2})[/tex]
[tex]v_{2} = \sqrt{\frac{2\cdot (P_{1}-P_{2})}{\rho}+v_{1}^{2}+2\cdot g\cdot (z_{1}-z_{2}) }[/tex] (2)
If we know that [tex]P_{1}-P_{2} = 0\,Pa[/tex], [tex]\rho=1000\,\frac{kg}{m^{3}}[/tex], [tex]v_{1} = 15.5\,\frac{m}{s}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]z_{1}-z_{2} = -3.5\,m[/tex], then the speed of the water flow in the pipe on the second floor is:
[tex]v_{2}=\sqrt{\left(15.5\,\frac{m}{s} \right)^{2}+2\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (-3.5\,m)}[/tex]
[tex]v_{2} \approx 13.100\,\frac{m}{s}[/tex]
The speed of the water flow in the pipe on the second floor is approximately 13.1 meters per second.
help asap please!
calculate the answer to the correct number of significant digits.
-3.22 x 5.1
unbalanced forces make an object:
A.accelerate
B.move at a constant speed
C.explode
D.come to rest
Answer:
i would have to say B makes the most sense
Explanation:
When an atom that has no charge looses two electrons it becomes a
Answer: it becomes a positive ion
Explanation:
So, when an atom loses 2 electrons there will be no change in the number of neutrons. Therefore, an isotope will not form. Thus, it is concluded that when an atom with no charge loses two electrons, it becomes a positive ion.
Answer:
a positive ion
Explanation:
what's the turtle's velocity??
Answer:
[tex]\boxed {\boxed {\sf v\approx0.24 \ m/s}}[/tex]
Explanation:
Velocity can be found by dividing the displacement by the time.
[tex]v=\frac{displacement}{time}[/tex]
The displacement is 4.77 meters and the time is 19.5 seconds.
[tex]displacement=4.77 \ m \\time=19.5 \ s[/tex]
Substitute the values into the formula.
[tex]v=\frac{4.77 \ m }{19.5 \ s}[/tex]
Divide.
[tex]v=0.244615385 \ m/s[/tex]
Let's round to the nearest hundredth (just to make the answer more concise).
The 4 in the thousandth place tells us to leave the 4 in the hundredth place.
[tex]v\approx0.24 \ m/s[/tex]
The velocity of the turtle is about 0.24 meters per second.
Kieran pushes a box with a force of 35 N. It accelerates at 5 m/s2. What is the first step that is needed to calculate the mass of the box?
Identify the formula to calculate velocity.
Identify the formula to calculate force.
Identify the formula to calculate acceleration.
Identify the formula to calculate weight.
Answer:
f=ma
mass of box =7kg
Explanation:
Answer:
Identify the formula to calculate velocity.
Explanation:
Sorry I have no explanation.
:(
But hope this helps!!!
how do you find Speed and Velocity? (formula)
Basically speed is equal to distance divided by time
Explanation:
velocity is just speed and direction
here you go, just answer the question, 100 points
Answer:
THANK YOUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU
Explanation:
I REALLY NEED THIS
Answer:
Oh my gosh yayyy one of the asnwers got deleted!!!! Yay thx for the points
Explanation:
A 515-kg roller coaster is at the bottom of a loop with a radius of 10 m. If the speed at the
Bottom of the loop is 20 m/s, what is the force of the track pushing up on the vehicle at this
point?
Answer:
20600N
Explanation:
Given parameters:
Mass of the roller coaster = 515kg
radius = 10m
Speed = 20m/s
Unknown:
Force of the track pushing up on the vehicle = ?
Solution:
The force pulling the roller coaster along the track is the centripetal force.
To find the centripetal force, use the expression below;
F = [tex]\frac{mv^{2} }{r}[/tex]
where;
m is the mass
v is the speed
r is the radius
Now insert the parameters and solve;
F = [tex]\frac{515 x 20^{2} }{10}[/tex] = 20600N
How long does it take for a hook to reach the top of a building if the velocity is 50 m/s
Answer:
how tall is building
Explanation:
In the periodic table, where can the atomic mass of an element be found?
Answer:
protons + neutrons
Explain:
Is equivalent to the number of protons and neutrons in the atom
Answer:
The atomic mass of an element is underneath the symbols whereas for Li or Lithium it is 6.94 then for B or Boron it is 10.81.
Explanation:
So in otherwords the atomic mass is right under the symbol of an element.
When you put the iron cube in the olive oil and the brick cube in the water what loses heat more quickly and why? The oil or the water? Explanation why oil or water.
Answer:
Oil
Explanation:
The oil will lose heat more quickly compared to water. This is because oil has a lower specific heat capacity compared to water.
Specific heat capacity is the amount of heat require to raise the temperature of 1kg of a substance by 1k. Water requires a high amount of heat to attain this level and it will have high specific heat capacity. Such substance takes time to gain heat and also will take time to loose the heat. Oil has a lower specific heat capacity. It gains and loses heat easily.A box is sitting on a very slightly
slanted shelf. It has remained still,
despite the slant. Suddenly, the box
slides off the shelf. This sudden
movement must be due to...?
A. The mass of the box
B. The weight of the shelf
C. Unbalanced forces
D. A ghost
A car travels a distance of 3330 meters in 165 seconds what is the velocity
Answer:
Velocity = 20.18 m/s
Explanation:
Velocity can be defined as the rate of change in displacement (distance) with time. Velocity is a vector quantity and as such it has both magnitude and direction.
Mathematically, velocity is given by the equation;
[tex]Velocity = \frac{distance}{time}[/tex]
[tex]V = \frac{d}{t}[/tex]
Given the following data;
Distance, d = 3330m
Time, t = 165 secs
*To find the velocity*
Substituting into the equation, we have;
[tex]V = \frac{3330}{165}[/tex]
Velocity = 20.18 m/s
A 750 kg car zooms away from a red light with an acceleration of 7.8 m/s2. What is the
average net force in Newtons that the car experiences?
Answer:
5850N
Explanation:
Given parameters:
Mass of the car = 750kg
Acceleration = 7.8m/s²
Unknown:
Net force = ?
Solution:
According to Newton's second law of motion;
Force = mass x acceleration
To find the net force input the given parameters:
Net force on the car = 750 x 7.8 = 5850N
a resistor, of resistance 47 , is damaged when it dissipates a power greater than 0.5W. determine the maximum voltage that can be applied without damaging the resistor
Answer:
The maximum voltage that can be applied without damaging the resistor is 4.85 V
Explanation:
Electric Power in a Resistor
Given a resistor or resistance R connected to a circuit of voltage V carrying a current I. The relation between these three magnitudes is given by Ohm's Law:
V = R.I
The dissipated power P of a resistor can be calculated by the following equation, known as Joule's first law:
[tex]P = I^2.R[/tex]
Solving the first equation for I:
[tex]\displaystyle I=\frac{V}{R}[/tex]
Substituting in the second equation:
[tex]\displaystyle P=\frac{V^2}{R^2}.R[/tex]
Simplifying:
[tex]\displaystyle P=\frac{V^2}{R}[/tex]
Solving for V:
[tex]V=\sqrt{P.R}[/tex]
The resistor has a resistance of R=47Ω and can hold a maximum power of P=0.5 W, thus the maximum voltage is:
[tex]V=\sqrt{0.5\cdot 47}[/tex]
[tex]V=\sqrt{23.5}[/tex]
V = 4.85 V
The maximum voltage that can be applied without damaging the resistor is 4.85 V
What process uses atomic particles of carbon and uranium to determine exact age?
a--Radioactive dating
b--Law of superposition
c--Relative dating
d--Geologic time
Answer: Radioactive dating
Explanation: I took the test, and use the other answer, and got it wrong. The test told me that this is the correct one.
Answer:
Radioactive dating
I took the test recentley :)
Together with a friend, you are carrying a ladder that weighs 130 N. You have cleverly convinced your friend to hold the ladder 0.1 m from the center of gravity, while you yourself are 1.5 m from the center of gravity. How much of the weight of the ladder are you yourself supporting?
Answer:
W₁ = 8.12 N
Explanation:
Consider the weight supported by the person and friend to be:
W₁ = Weight supported by person
W₂ = Weight supported by Friend
Now, their sum must be equal to total weight of ladder. Hence,
W₁ + W₂ = 130 N
W₂ = 130 N - W₁ ---------------- equation (1)
Now, to carry the ladder, the moment due to both person's forces must be equal:
Moment due to person 1 = Moment due to friend
W₁ d₁ = W₂ d₂
where,
d₁ = distance between person and center of gravity = 1.5 m
d₂ = distance between friend and center of gravity = 0.1 m
W₁(1.5 m) = W₂(0.1 m)
W₁ = W₂ (0.1 m/1.5 m)
W₁ = W₂(0.06667)
using equation (1):
W₁ = (130 N - W₁)(0.06667)
W₁ + 0.06667W₁ = 8.6667 N
W₁ = 8.12 N
