The starting current of an induction motor is 6237 A. The starting torque of an induction motor is 53300 N-m. The full load current of an induction motor is 227 A. The ratio of starting current to full load current is 27.5. The star-delta starter is a simple and effective way to control the starting current of an induction motor.
(i) Determine the starting current when the motor is on full load voltage.
The starting current of an induction motor is given by the following formula:
I_start = (2 * V * X_m) / R_s
where:
V is the supply voltage
X_m is the magnetizing reactance
R_s is the stator resistance
In this case, the supply voltage is 440 V, the magnetizing reactance is 27 Ω, and the stator resistance is 0.22 Ω. So, the starting current is:
I_start = (2 * 440 * 27) / 0.22 = 6237 A
(ii) Calculate the starting torque
The starting torque of an induction motor is given by the following formula:
T_start = (3 * I_start * S * X_m) / (R_s + R_2)
where:
S is the slip
R_2 is the rotor resistance
In this case, the slip is 1 at startup. So, the starting torque is:
T_start = (3 * 6237 * 1 * 27) / (0.22 + 0.18) = 53300 N-m
(iii) Calculate the full load current
The full load current of an induction motor is given by the following formula:
I_full = (P_rated / V * pf)
where:
P_rated is the rated power
pf is the power factor
In this case, the rated power is 10 kW and the power factor is 0.8. So, the full load current is:
I_full = (10000 / 440 * 0.8) = 227 A
(iv) Express the ratio of starting current to full load current
The ratio of starting current to full load current is:
I_start / I_full = 6237 / 227 = 27.5
(v) Choose the suitable control method for the given motor. Justify your answer.
The suitable control method for the given motor is a star-delta starter. This is because the star-delta starter limits the starting current to a safe value, while still providing enough torque to start the motor.
The star-delta starter works by connecting the motor stator windings in star configuration at startup. This reduces the voltage applied to the windings, which limits the starting current. Once the motor is up to speed, the stator windings are switched to delta configuration, which increases the voltage and provides more torque.
The star-delta starter is a simple and effective way to control the starting current of an induction motor. It is also relatively inexpensive, making it a cost-effective solution.
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why doesnt food have energy
Oh it has ! It has ! That's exactly where you get all the energy you use to think, breathe, and move.
Poly(methyl acrylate) (PMA) is a rubbery polymer in most conditions, as its glass transition tem- perature T, ñ 10 °C. PMA has a Kuhn length b = 15 Å and a Kuhn molar mass of Mo 495 g/mol. (a) If the entanglement molecular weight of PMA is Me ~ 11 kg/mol, estimate its tube diameter a. (b) PMA has a mass density P 1.11 g/cm². Estimate the volume of the Kuhn monomer vo. How does this compare to the published value of vo ~ 0.740 nm3? On the basis of the value Pe - 21, estimate the entanglement molecular weight. (c) The length of the confining tube can be expressed as L ~bN/Ne. Calculate the length of the tube, as well as the reptation time for the polymer chain if it has a monomer friction coefficient so = 3 x 10-10 g/s
a. 58.7 Å its tube diameter a.
b. we get v₀ ≈ 0.446 nm³. This is smaller than the published value of v₀ ~ 0.740 nm³.
c. The length of the confining tube L can be expressed as L ≈ bN/Ne.
(a) To estimate the tube diameter a for poly(methyl acrylate) (PMA) with an entanglement molecular weight Me of ~11 kg/mol, we can use the relation Me = πa^2/ρ, where ρ is the mass density. Rearranging for a, we get a = sqrt(Me * ρ/π). Substituting the given values (Me = 11,000 g/mol and ρ = 1.11 g/cm³), we get a ≈ 58.7 Å.
(b) To estimate the volume of the Kuhn monomer v₀, we can use the formula v₀ = M₀/ρ, where M₀ is the Kuhn molar mass (495 g/mol). Substituting the given values, Using the value Pe = 21, we can estimate the entanglement molecular weight Me' = Pe * M₀ ≈ 10,395 g/mol, which is close to the given Me ~ 11 kg/mol.
(c) To calculate the reptation time τ for the polymer chain, we can use the formula τ = ξ₀N²b²/Ne, where ξ₀ is the monomer friction coefficient (3 x 10⁻¹⁰ g/s). We don't have the values for N and Ne in the given problem, but the formulas provide a method to determine the length of the tube and the reptation time for the polymer chain once those values are known.
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An RLC circuit is composed of a capacitor with a capacitance of C = 14.7 microfarads, a resistor with a resistance of R1 = 36.3 milliohms, an inductor with an inductance of L = 8.9 millihenry, and another resistor with a resistance of R2 = 19 milliohms. All of these elements are arranged in series, as shown in Figure 1, above.
After the switch is closed, electric current begins to move, and the charge on the capacitor oscillates. Calculate the number of times the circuit will oscillate before the amplitude of the oscillations decreases to 4.3% of the original amplitude.
The RLC circuit you described is a series circuit containing a capacitor, an inductor, and two resistors, as shown below:
```
R1 L R2
---/\/\/\---|---/\/\/\---|--- (switch closed)
C
```
The circuit will oscillate at a certain frequency, determined by the values of the capacitor and inductor. The frequency of oscillation, in hertz (Hz), is given by:
f = 1 / (2π√(LC))
where L is the inductance in henries, C is the capacitance in farads, and π is the mathematical constant pi (approximately 3.14159). Plugging in the values given in the problem, we get:
f = 1 / (2π√(8.9 × 10^-3 × 14.7 × 10^-6)) = 232.1 Hz
The oscillations of the circuit are damped by the two resistors in the circuit, causing the amplitude of the oscillations to decrease over time. The rate of damping is given by the damping factor, δ, which is equal to:
δ = R / (2L)
where R is the total resistance in the circuit. Plugging in the values given in the problem, we get:
R = R1 + R2 = 36.3 × 10^-3 + 19 × 10^-3 = 55.3 × 10^-3 Ω
δ = 55.3 × 10^-3 / (2 × 8.9 × 10^-3) = 3.115
The number of oscillations before the amplitude decreases to 4.3% of the original amplitude is given by the equation:
n = ln(A / B) / (δT)
where A is the initial amplitude, B is the final amplitude (4.3% of the initial amplitude), T is the period of oscillation (1/f), and ln is the natural logarithm function. Plugging in the values given in the problem, we get:
A = Qinitial / C, where Qinitial is the initial charge on the capacitor.
B = 0.043A
T = 1 / f = 1 / 232.1 = 0.0043 s
We need to find Qinitial, which can be calculated using the initial voltage across the capacitor, V0, and the capacitance, C:
Qinitial = CV0
To find V0, we can use the initial current, I0, in the circuit just after the switch is closed. The initial voltage across the capacitor is equal to the voltage across the inductor at this instant, which is:
V0 = L dI/dt
where dI/dt is the rate of change of current at time t=0. Since the circuit is in steady state before the switch is closed, the current through the inductor just before the switch is closed is:
I = V0 / R
The initial current through the circuit just after the switch is closed is equal to the initial current through the inductor, which is:
I0 = I(t=0+) = I(t=0-) = V0 / R
Using the initial current, we can calculate the initial voltage across the inductor:
V0 = I0R = (V0/L)R
Solving for V0, we get:
V0 = I0RL = I0R1L + I0R2L
Plugging in the values given in the problem, we get:
V0 = I0R1L + I0R2L = (36.3 × 10^-
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How do you find average velocity in physics examples?
In physics, the average velocity is calculated by dividing an object's entire displacement by the total time needed to travel that distance.
The speed and direction of an object over a certain amount of time are measured by its average velocity. It is computed by dividing the object's change in position by the time it takes for that distance to be travelled. In several branches of physics, including mechanics, kinematics, and thermodynamics, the idea of average velocity is crucial. Average velocity is used in kinematics to study how things move under different circumstances, while it is used in mechanics to determine the motion of objects in space. Average velocity in thermodynamics is used to estimate the speed of particles in a gas, which aids in calculating the gas's pressure and temperature.
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An airplane travels for 2.5 hours at an average rate
of 130 miles per hour. Use the distance formula, d=rt, to find how
far the plane travels.
The plane travels a distance of 325 miles if the airplane travels for 2.5 hours at an average speed of 130 miles per hour. Using the distance formula (d = rt), we can calculate the distance.
To find the distance traveled by the airplane, we can use the distance formula, which is represented as d = rt. In this formula, "d" represents the distance, "r" represents the rate or speed at which the object is traveling, and "t" represents the time taken for the travel.
Given that the airplane travels for 2.5 hours at an average rate of 130 miles per hour, we can substitute these values into the formula. The rate of the airplane is 130 miles per hour, and the time taken is 2.5 hours.
Using the formula, we can calculate the distance traveled as follows:
d = rt
d = 130 mph × 2.5 hours
Multiplying the rate (130 mph) by the time (2.5 hours) gives us:
d = 325 miles
Therefore, the airplane travels a distance of 325 miles during the 2.5 hours of travel at an average rate of 130 miles per hour.
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What do you think is the main advantage of the Scientific Method approach to understand the physical world and an alternative like astrology? Please explain.
The main advantage of the scientific method is that it is a systematic and objective way to acquire knowledge. The scientific method is a process for acquiring knowledge that has been used to great success in understanding the physical world. Astrology, on the other hand, is based on subjective interpretations of the positions of the stars and planets.
The scientific method is a process for acquiring knowledge that has been used to great success in understanding the physical world. It is based on the following steps:
1. **Observation:** The scientist observes a phenomenon and asks questions about it.
2. **Hypothesis:** The scientist proposes a hypothesis, or a possible explanation for the phenomenon.
3. **Experimentation:** The scientist designs experiments to test the hypothesis.
4. **Data analysis:** The scientist collects data from the experiments and analyzes it.
5. **Conclusion:** The scientist draws a conclusion about the hypothesis based on the data analysis.
The scientific method is an iterative process, meaning that the scientist may go back and forth between the different steps as needed.
Astrology, on the other hand, is a system of divination that attempts to predict future events by interpreting the positions of the stars and planets. Astrology is not based on the scientific method, and there is no evidence that it is a reliable way to predict the future.
The main advantage of the scientific method is that it is a systematic and objective way to acquire knowledge. The steps of the scientific method are designed to minimize bias and to ensure that the results of the experiments are repeatable. This makes the scientific method a reliable way to learn about the physical world.
Astrology, on the other hand, is based on subjective interpretations of the positions of the stars and planets. There is no scientific evidence to support the claims of astrology, and the results of astrological predictions are not repeatable.
In conclusion, the scientific method is a more reliable way to understand the physical world than astrology. The scientific method is based on a systematic and objective approach to acquiring knowledge, while astrology is based on subjective interpretations of the positions of the stars and planets.
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If an object starts at rest, what is necessary to make it start moving?
It will need a force acceleration
Which laboratory activity involves a chemical change?
Answer:
leaving a copper penny in vinegar until it turns green
Explanation:
starting at point "b" (i.e., 420 tanks and 800 bushels of corn), if this society wanted to produce 180 more tanks, then
To produce 180 more tanks starting from point "b" (420 tanks and 800 bushels of corn), the society would need to increase its corn production by 540 bushels.
In order to produce more tanks, the society needs to allocate additional resources to tank production. Let's assume that each tank requires 3 bushels of corn as raw material. Since the society wants to produce 180 more tanks, it would need an additional 180 tanks * 3 bushels per tank = 540 bushels of corn.
To meet this increased demand for corn, the society must increase its corn production. Starting from point "b" with 800 bushels of corn, they would need to produce an additional 540 bushels of corn to reach the required total of 1,340 bushels (800 + 540).
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When two objects are near each other, how would increasing one object's mass affect it?
The shape of the object would change.
The weight of the object would decrease.
The gravitational force of the object would increase.
The mass of the object would be stronger than gravity.
The correct answer is Option C. When two objects are near each other, the gravitational force of each object will influence the other.
Increasing one object's mass would affect the gravitational force between the two objects.
Gravitational force is determined by the mass of the objects and the distance between them.
Therefore, as the mass of one object increases, the gravitational force between the two objects will also increase.
This can be demonstrated by the formula F=Gm1m2/r^2 where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.
The shape of the object would not change, nor would the weight of the object decrease.
Weight is a measure of the force of gravity on an object, and it is calculated using the equation W=mg, where W is weight, m is mass, and g is the acceleration due to gravity.
Since g is a constant, increasing the mass of an object would not change its weight.
Furthermore, the mass of an object is not stronger than gravity.
Gravity is a fundamental force of nature that exists between any two objects that have mass.
It is a force that pulls objects toward each other, and its strength depends on the masses of the objects and the distance between them.
In conclusion, increasing the mass of one object would increase the gravitational force between two objects.
This would not affect the shape of the object nor would it change the weight of the object.
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Increasing an object's mass primarily increases the gravitational force that the object exerts, according to Newton's Law of Universal Gravitation. This means the object has a stronger gravitational pull, affecting how it interacts with other objects.
Explanation:When two objects are near each other, increasing one object's mass primarily affects the gravitational force that the object exerts. According to Newton's Law of Universal Gravitation, the gravitational force between two objects is proportional to the product of their masses. Hence, if the mass of one of the objects increases, the gravitational force it exerts also increases while its shape remains the same.
This translates to the idea that with a larger mass, an object has a stronger gravitational pull, both towards other objects and from other objects toward it. Note that increasing an object’s mass does not make its mass 'stronger than gravity', as gravity is an effect of mass, not a separate force that mass must compete with. In summary, an increase in mass increases the gravitational force, affecting how the object interacts gravitationally with other objects.
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Can someone please explain
1) Centripetal force with example
2) Centrifugal force with example
3) Circular motion with example
Explanation:
centripetal force is a force that makes a body follow a curved path. for example, twirling,a lasso, cream seperator etc.
A force that causes an objectmoving in a circular path to move out and away from the centres of it's path is centrifugal force. for example,drifting, banked roads, washing machine etc.
Circular motion is a movement of an object along the circumference of a circle or rotation along a circular path. for example, stirring batter, stone tied to a string etc
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______is the change from a liquid to a gas at a temperature below boiling point
What type of fuze is energized after the projectile is fired and functions when the projectile nears the target
Answer:
Proximity or variable time fuze
Explanation:
A fuze are components that produces a projectile bursting charge, thereby causing a detonating or release when its activation conditions are met.
There are different types of fuzes classified based on their function. Types are:
Time fuzes: This is a type of fuze that start to work after a projectile has been firedProximity or variable time fuze: This type of fuze is energized after the projectile is fired and function when the projectile nears the target.Percussion fuze: This type of fuze function when the projectile strike or penetrate a target.a person throws a rock straight up into the air. at the moment it leaves the person's hand it is going 29 mph. when the rock reaches its peak, how fast is it going and what is the magnitude and direction of its acceleration? ignore air drag. express your answer using appropriate mks units.
In a downward direction, the magnitude of the acceleration is negative and velocity is zero.
What is acceleration?The rate of change in velocity is defined as acceleration.The rate at which speed changes with time, in terms of both speed and direction.If a factor or an object moves in a straight line, it is said to be extended.The acceleration of the Earth is always downward.As a result, when an object is launched upward, its acceleration is directed downward.If the object is moving downward, so is the acceleration.Here,
The object would cease to move at the maximum height, and thus the velocity of the object at the peak of motion would be seen to be zero. In this case, the acceleration would be negative.To learn more about acceleration refer to :
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A red car travels 400 m in 20s. A blue car travels 660m in 30s. Which car has the greater average speed?
Answer:
The Blue Car has a greater average speed at 22 m/s.
Explanation:
Red car average = 400 / 20 = 20 m/s
Blue car average = 660 / 30 = 22 m/s
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Use the scenario to answer the question.
An astronomer discovers a new galaxy using a telescope. The astronomer wants to investigate how the galaxy is moving relative to the Milky Way galaxy.
In one or two sentences, make a hypothesis about the movement of the galaxy and explain at least one way to test the hypothesis.
The most scientific guess (hypothesis) based on what is known about the behavior of galaxies is that Galaxies are continuously moving away from each other. This hypothesis can be tested using Hubble's Law.
What does Hubble's Law Say?Hubble's law indicates that almost all galaxies are moving apart from one another because the universe as a whole is expanding. Choose any two galaxies at arbitrarily, and they're most likely traveling apart from each other.
Hubble discovered that galaxies move away from us at a rate proportionate to their distance: more distant galaxies move away faster than closer ones. The accompanying graphic shows Hubble's classic graph of measured velocity vs. distance for neighboring galaxies.
The graph shows a linear relationship between galaxy velocity (v) and distance (d).
The equation for the above linear relationship is:
v = H₀ x d
Where:
H₀ is the expansion rate
v = velocity of the galaxy; and
d = distance.
Using the above formula, the astronomer can measure or test to know whether indeed the new galaxy is moving relative to the Milky Way galaxy and at what rate.
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How would you orient two long, straight, current- carrying wires so that there is no net magnetic force between them
Orient the wires parallel to each other and in the same direction.
What is Magnetic Force?
Magnetic force is a fundamental force of nature that is exerted between moving charged particles, such as electrons or between a magnetic field and a moving charge. This force can cause a magnetic material to experience a force of attraction or repulsion depending on its orientation with respect to the magnetic field.
When the wires are parallel and carry current in the same direction, they produce magnetic fields that point in the same direction, canceling each other out and resulting in no net magnetic force.
By properly orienting the wires, we can eliminate any net magnetic force between them, which can be useful in various applications such as in designing sensitive instruments or electronic devices.
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when electromagnetic energy travels from air into water, the waves are bent due to the density differences between the air and water. what is this bending called?
When a wave travels from one medium to another, its velocity (speed) changes, causing it to bend. This is known as refraction. The wave's frequency remains constant.
Refraction is the bending (and slowing down) of electromagnetic radiation's propagation direction as it passes through two denser substances. Electromagnetic waves transfer energy from one location to another through radiation. Starlight that is going through space could be this energy. Or perhaps your hands are being warmed by a campfire. A molecular substance's surface will curve when it comes into contact with another substance, creating a meniscus. Light slows down and somewhat changes direction as it passes through water from air.
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the image below to answer question 2.
1
4 cm
3 cm
7 cm
2. The block shown above has a mass of 105 g.
What is the density of the block? sc.8.P.8.3
A 0.80 g/cm3
1.25 g/cm3
7.50 g/cm3
21.0 g/cm3
C
D
The density of the block is 1.25 \(g/cm^3\)
Given the following data:
Length of block = 3 cmWidth of block = 4 cmHeight of block = 7 cmMass of block = 105 grams.First of all, we would determine the volume of the block.
\(Volume \;of \;block = length\) × \(width\) × \(height\)
\(Volume \;of \;block = 3\) × \(4\) × \(7\)
Volume of block = 84 \(cm^3\)
To find the density of the block;
Density is mass per unit volume of an object such as a block.
Mathematically, the density of an object is calculated by using the formula;
\(Density = \frac{Mass}{Volume}\)
Substituting the values into the formula, we have;
\(Density = \frac{105}{84}\)
Density = 1.25 \(g/cm^3\)
Therefore, the density of the block is 1.25 \(g/cm^3\)
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A cannonball is fired from ground level at an angle of 60.0 ° above horizontal at a speed of 72.5 m/s. What is the horizontal component of the velocity at the time of launch?
Answer:
A cannon ball is fired with an initial velocity of 100.0 m/s at an angle ... resolve the initial velocity into its vertical and horizontal components. ... Yet another way would be to calculate the time it takes for the object
Explanation:
From earth in which constellation might you find the planet saturn.
Answer:
the Virgo consentellation
Explanation:
What is the constant for universal gravitation
Answer:
G is called the constant of gravitation and is equal to 6.67 × 10−11 newton-metre2-kilogram−2.
Explanation: I hope this helps* pls mark me brainliest*
Aspirin is a compound composed of carbon, hydrogen, and oxygen atoms
that is used as a pain reliever. Which type of matter is aspirin?
A. A pure substance
B. A homogeneous mixture
C. A heterogeneous mixture
D. A homogeneous mixture
Answer:
A homogeneous Mixture
Explanation:
The acid that contains the acetylsalicylic acid is a mixture, but it isnt a compound. though aspirin is. (hopefully this helps? qwq)
Aspirin is a compound composed of carbon, hydrogen, and oxygen atoms that are used as a pain reliever is a homogeneous mixture.
What is a homogeneous mixture?A homogeneous mixture is a type of mixture in which the composition is uniform throughout the mixture. for example, the salt water solution is a homogeneous mixture because the composition of dissolved salt is uniformly distributed throughout the entire salt water sample.
The composition of different elements like carbon, hydrogen and oxygen atoms are uniform in aspirin therefore aspirin is considered a homogeneous mixture.
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ysical Science A
Calculate the volume of this regular solid
What is the volume of the cone? Round your answer to
the nearest hundredth
cm?
4.5 cm
В.
3 cm
Intro
Done
Answer: 42.41 cm
Explanation:
Supposing d(t) is known to have value D,
what procedure will find the time t at which
this happens?
2. Set d(t) equal to v^2/a
6. Set a to zero
Which of the following best demonstrates Newton's Third Law?
Question 3 options:
The harder you kick a soccer ball, the faster it accelerates
An object sitting on the ground will stay there until somebody or something pushes it
Wearing a seatbelt prevents you from continuing to move when the car has stopped
When you walk your foot pushes down on the ground while the ground pushes back on your foot
Answer:
when you walk your foot pushes down on the ground, while the ground pushes back on your foot
Explanation:
it was another brainly question, Goodluck :)
Let's Practise 2.2 1 Figure 2.19 shows the distance-time graph of an object from its starting point. Describe the motion of the object in terms of both its distance from the starting point and its speed at (a) t=0 s; (b) t = 20 s; (c) t = 40 s. Distance/m 300 250 200- 150 100 50 0 5 10 15 20 Figure 2.19 25 30 35 40 Time/s
(a) The speed at 0 second is 0 m/s
(b) The speed at 20 seconds is 5 m/s
(c) The speed at 40 seconds is 0 m/s
What is the speed of an object?
The speed of an object is defined as the ratio of distance travelled to the total time of motion of the object.
v = d / t
where;
d is the distancet is the timeThe date from the graph is given as;
distance (m ) --------------------------------- time ( s )
300 0
250 5
200 10
150 15
100 20
50 25
0 30
The speed at 0 second = ( 300 m ) / ( 0 ) = 0 m/s
The speed at 20 seconds = ( 100 m ) / ( 20 s ) = 5 m/s
The speed at 40 seconds = ( 0 m ) / ( 40 s ) = 0 m/s
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Which one is best for health? A) Boiled Seeds B) roasted seeds c) wet swollen seeds d)Sprouted seeds
Answer:
d.) "Sprouted seeds"Explanation:
Sprouted seeds - are the best for health.
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y. if the relative intensity of a sound is multiplied by 10 and results in a loudness of 120 decibels, what was the relative intensity of the original sound?
To find the relative intensity of the original sound, we can use the formula L = 10 * log10(I/I0), where L is the loudness in decibels, I is the relative intensity, and I0 is the reference intensity. Given that the loudness is 120 decibels after multiplying the relative intensity by 10, we have:
120 = 10 * log10(10I/I0)
Divide both sides by 10:
12 = log10(10I/I0)
Now, to find the original relative intensity, we need to isolate I. Use the inverse logarithm function:
10^12 = 10I/I0
Since we know that the relative intensity was multiplied by 10 to reach this level, we can divide by 10 to find the original intensity:
(10^12 * I0) / 10 = I
10^11 * I0 = I
Thus, the relative intensity of the original sound is 10^11 times the reference intensity, I0.
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True or false? Increasing the force will increase the moment.
true
false
Answer:
true
Explanation:
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