Answers
Given:
The frequency of the object, f=60 Hz
The radius, r=1 m
To find:
The rotational velocity of the object.
Explanation:
The angular velocity/rotational velocity of the object is given by,
\(\omega=2\pi f\)On substituting the known values,
\(\begin{gathered} \omega=2\pi\times60 \\ =377\text{ rad/s} \end{gathered}\)The linear velocity of the object is given by,
\(v=\omega r\)On substituting the known values,
\(\begin{gathered} v=377\times1 \\ =377\text{ m/s} \end{gathered}\)Final answer:
The rotational velocity of the object is 377 rad/s
Related Questions
A mini spherical cow is thrown upwards with an initial velocity of 7.0 m/s. Remembering that earth's acceleration due to gravity is -9.8, what is the cow's height after 0.73 s?
Answers
A minispherical cow is thrown upwards with an initial velocity of 7.0 m/s; the earth's acceleration due to gravity is -9.8 m/s, and the cow's height after 0.73 s is approximately 2.64 m above its initial position.
What is the height of the cow?h = \(V_i\)t + (1/2)g\(t^2\)
(Here, h = the height of the cow above its initial position \(V_i\)= the initial velocity of the cow that is 7.0 m/s upwards, g = acceleration due to gravity that is -9.8 m/\(s^2\) downwards, t = the time since the cow was thrown)
putting in the given values, one can get:
h = (7.0 m/s)(0.73 s) + (1/2)(-9.8 m/\(s^2\))\((0.73 s)^2\)
h ≈ 2.64 meters
Hence, the cow's height after 0.73 seconds is approximately 2.64 meters above its initial position .
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A common technique used to measure the
force constant k of a spring is the following:
Hang the spring vertically, then allow a
mass m to stretch it a distance d from the
equilibrium position under the action of the
“load” m g.
61 m
63 N
Find the spring constant k if the spring
is stretched a distance 61 m by a suspended
weight of 63 N. The acceleration of gravity is
9.8 m/s
2
.
Answer in units of N/m.
Answers
Answer: 1.02 N/m
Explanation:
To find the spring constant k, we can use Hooke's Law, which states that the force exerted by a spring (F) is proportional to the displacement from its equilibrium position (x). The equation for Hooke's Law is:
F = kx
In this case, the force exerted by the spring (F) is equal to the weight of the mass (mg). The problem provides the weight (63 N) and the displacement (61 m). We can rearrange the equation to solve for k:
k = F/x
Now, we can plug in the given values:
k = (63 N) / (61 m)
k ≈ 1.032 N/m
Rounded to two decimal places, the spring constant k is approximately 1.02 N/m.
can anyone heelp me pls pls
Answers
Answer:
Explanation:
Answer in the pic.. hope it helps
Combustion is another word for?
Answers
Combustion is another word for Burning or Igniting.
Hope it helps u! :)
An orbit is equivalent to being in permanent free fall around a mass center (planet, star etc.).
O True
O False
Answers
Answer:
false
Explanation: because an orbit is not equal to being in a permanent free fall because if it is not equal the orbit is not correct
in a football game, the kicker kicks a football a horizontal distance of 43 yards if the ball lands 3.9 seconds later, what is the balls horizontal velocity
Answers
Answer:
10s
Explanation:
Horizontal velocity is the velocity of an object in an horizontal direction
The ball's horizontal velocity is approximately 33.078 ft./s
Reason:
The known parameter are;
The horizontal distance the footballer kicks the ball, d = 43 yards
The time after which the ball lands, Δt = 3.9 seconds
Required:
To find the velocity of the ball
Solution:
\(Velocity = \dfrac{Distance}{Time} = \dfrac{d}{\Delta t}\)
Therefore;
\(Horizontal \ velocity \ of \ the \ ball, \ v_x= \dfrac{43 \ yard}{3.9 \ seconds} \approx 11.026 \ yd/s\)
The ball's horizontal velocity, vₓ ≈ 11.026 yd/s
1 yard = 3 feet
\(11.026 \ yard = 11.026 \ yard \times \dfrac{3 \ feet}{yard} = 22.078 \ feet\)
The ball's horizontal velocity, vₓ ≈ 33.078 ft./s
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if the hoist h is moving upward at 6 ft/s , determine the speed at which the motor m must draw in the supporting cable. if the hoist is moving upward at 6 , determine the speed at which the motor must draw in the supporting cable. vp/h
Answers
The magnitude of the motor shaft's rotational velocity is used to describe a motor's speed.
The motor velocity of the supporting cable exists 18 ft/s.
What is meant by Motor velocity?A motor's speed is defined as the magnitude of the motor shaft's rotational velocity. The number of full rotations per unit of time for an axis rotation in a motion application depends on the motor's speed.
When given 11.1 V and a motor with a velocity constant and back EMF constant of 5,700 rpm/V, the motor will spin at a nominal speed of 63,270 rpm (= 5,700 rpm/V 11.1 V). The non-linear mechanical losses may prevent the motor from operating at this theoretical speed.
Motor velocity = Number of vertical strings × upward velocity
substitute the values in the above equation, we get
18 fp/s = 3 × 6
3 × 6 = 18 fp/s.
The motor velocity of the supporting cable exists 18 ft/s.
Therefore, the correct answer is option [D]. VP/H = 18 ft/s.
The complete question is:
If the hoist H is moving upward at 6 ft/s, determine the speed at which the motor M must draw in the supporting cable.
[A]. VP/H = 6 ft/s
[B]. VP/H = 2 ft/s
[C]. VP/H = 12 ft/s
[D]. VP/H = 18 ft/s
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The fractional change of reacting mass to energy in a fission reactor is about 0.1%, or 1 part in a thousand. For each kilogram of uranium that is totally fissioned, how much energy is released
Answers
Answer:
9*10^13 J
Explanation:
Given that
mass of the material, m = 0.001 kg
speed of light, c = 3*10^8 m/s
To solve this, we would be adopting Einstein's mass - energy relation...
E = mc²
Where
E = Energy, in joules
m = mass, in kg
c = speed of light, in m/s
E = 0.001 * (3*10^8)²
E = 0.001 * 9*10^16
E = 9*10^13 J
Thus, the total energy released would be 9*10^13 J
What's the kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s?
Question 16 options:
A)
12,000 J
B)
2,940 J
C)
6,000 J
D)
5,880 J
Answers
the kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s is 6,000 J. Option C is correct answer.
The kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s can be calculated by using the formula:
K.E = 1/2 mv²
Where, K.E = Kinetic energy of the objectm = Mass of the objectv = Velocity of the object
Putting the given values in the above formula:
K.E = 1/2 mv²K.E = 1/2 × 30 kg × (20 m/s)²K.E = 1/2 × 30 × 400K.E = 6000 joules
The correct answer is C.
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difference between fuse wire and MCB
Answers
Answer:
Explanation:
"fuse wire" typically refers to a thin, single-use wire that is used to protect an electrical circuit from overloading or short circuiting. The wire is designed to melt and break the circuit if the current flowing through it exceeds a certain level, which helps to prevent damage to the electrical equipment or a potential fire hazard. Once the fuse wire has melted, it must be replaced with a new one.
an "MCB" (miniature circuit breaker) is a type of switch that automatically trips and breaks the circuit when there is an overcurrent or short circuit.
Unlike a fuse wire, an MCB can be reset after it has tripped, making it more convenient for protecting electrical circuits. MCBs are typically more expensive than fuse wires, but they offer greater protection and are often used in modern electrical systems.
Captain John Stapp pioneered research into the physiological effects of large accelerations on humans. During one such test his sled slowed from 282 m/s
with an acceleration of -201 m/s2. How long did it take him to stop?
Answers
This question involves the concepts of the equations of motion.
It took him "1.4 s" to stop.
EQUATIONS OF MOTIONIn this scenario, we will use the first equation of motion to find out the time taken by the sled to stop.
\(v_f=v_i+at\)
where,
\(v_f\) = final velocity of the sled = 0 m/s
\(v_i\) = initial velocity of the sled = 282 m/s
a = decceleration = - 201 m/s²
t = time taken = ?
Therefore,
\(0\ m/s=282\ m/s + (-201 m/s^2)t\\\\t=\frac{282\ m/s}{201\ m/s^2}\)
t = 1.4 s
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When investigating a crime scene, Grant finds some evidence that could possibly be blood. What should he do?
ОА. .
He should leave it alone because it could be dangerous.
OB.
Ос.
He should wear latex gloves when he collects it.
He should pour water on it to see if it rinses away.
He should call a forensic pathologist to help him.
OD.
Answers
Answer:
He should call a forensic pathologist to help him.
Explanation:
Since he is experienced and would know about this
When investigating a crime scene, Grant finds some evidence that could possibly be blood. He should call a forensic pathologist to help him. Option (D) is correct.
What is forensic pathology?An expert in forensic pathology will examine the deceased person's medical history, crime scene evidence, witness statements, perform an autopsy to determine if the death was brought on by an illness or an injury, and collect additional evidence from the body.
The five main legally recognized causes of death are natural, homicide, accidents, and undetermined in the majority of states. A forensic pathologist is obligated to record his findings in a report following the conclusion of his investigation, and he or she may occasionally be asked to testify in court. In light of the fact that their testimony and credibility can be used to judge a defendant's guilt or innocence, forensic pathologists are frequently important witnesses in court cases involving death.
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Could you help me with this question please
Answers
Charge =
(current in Amperes) x (time in seconds)
1 Ampere means 1 Coulomb per second
240 Coulombs
90 Coulombs
150 Coulombs
Label the atom for 8th grade science need it please help
Answers
For the element whose atomic structure is shown:
Element symbol = ArAtomic number = 18Electron number = 18Proton number = 18Neutron number = 22Mass number = 40Number of electrons in each energy level = 2, 8, 8Valence electron = 8What is the structure of the atom?The structure of an atom consists of the three sub-atomic particles namely:
electrons,protons, andneutronsThe electrons are found in electron shells or orbits around the nucleus
The protons and neutrons are found within the nucleus of the atom.
For the element shown:
Element symbol = ArAtomic number = 18Electron number = 18Proton number = 18Neutron number = 22Mass number = 40Number of electrons in each energy level = 2, 8, 8Valence electron = 8In conclusion, the structure of atoms includes the nucleus and the electron shells.
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A reversible reaction is in
_______ when forward and reverse
directions of the reaction occur at the same rate so there is no overall change in the
amounts of reactants and products.
Answers
Answer:
Equilibrium
Explanation:
Equilibrium is a special situation or stage of a reactionAt equilibrium the concentrations of reactants and products are equalThe rate of change of forward and backward reaction is also sameA soccer ball, kicked from ground level at an angle of 64.0° above horizontal, is in the air for 3.40 s. What was its initial speed, in m/s, just after it was kicked? Ignore air resistance.
Answers
A soccer ball, kicked from ground level at an angle of 64.0° above horizontal, is in the air for 3.40 s. The initial speed, in m/s, just after it was kicked will be 76.07 m/s
The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics. Kinematics equations are a set of equations that can derive an unknown aspect of a body’s motion if the other aspects are provided.
given
v = 0
g = 9.8 m/\(s^{2}\)
t = 3.40 s
u = ?
cos(theta) = 64°
v = u*cos(theta) - g*t
0 = u * cos(64) - 9.8*(3.40)
u = 76.07 m/s
The initial speed, in m/s, just after it was kicked will be 76.07 m/s
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A 0.20-kg block and a 0.25-kg block are connected to each other by a string draped over a pulley that is a solid disk of inertia 0.50 kg and radius 0.10 m. When released, the 0.25-kg block is 0.21 m off the ground. What speed does this block have when it hits the ground?
Answers
Answer:
The answer is "0.2711 m/s".
Explanation:
Potential energy = Kinetic energy + Potential energy
\(m_1 gh =\frac{1}{2} m_1v^2 +\frac{1}{2} m_2v^2 + \frac{1}{2} I\omega^2 + m_1gh\\\\\)
\((m_1- m_2)gh =\frac{1}{2} m_1v^2 +\frac{1}{2} m_2v^2 +\frac{1}{2} I\omega^2\\\\2(m_1 - m_2)gh = m_1v^2 + m_1v^2 + I\omega^2\\\\solid \ disk (I) = \frac{1}{2} \ \ M r^2 \\\\\)
When there is no slipping, \omega =\frac{ v]{r}\\\\
\(2(m_1 - m_2)gh = m_1v^2 + m_2v^2 + (\frac{1}{2} Mr^2) (\frac{v}{r})^2\\\\2(m_1 -m_2)gh = m_1v^2 + m_2v^2 + \frac{1}{2} Mv^2\\\\4(m_1 -m_2)gh = 2m_1v^2 + 2m_2v^2 + Mv^2\\\\4(m_1 - m_2)gh = (2m_1 + 2m_2 + M) v^2\\\\\)
\(v^2 = \frac{4(m_1 - m_2)gh}{(2m_1 + 2m_2 + M)}v\)
\(v^2 = \frac{4 (0.25 \ kg - 0.20 \ kg) (9.8 \frac{m}{s^2}) (0.21 m)}{ (2 \times 0.25 kg + 2 \times 0.20 kg + 0.50 kg)}\)
\(=\frac{0.1029}{1.4} \ \ \frac{m^2}{s^2}\\\\=0.0735\ \ \frac{m^2}{s^2}\\\\= 0.2711 \ \frac{m}{s}\)
is a term that refers to the amount of space that a substance or an object take up
Answers
Answer: yes and its called either mass or volume.
Explanation: volume is the space inside the object is taken up, and mass is bassicaly the same thing but with weight
When should the score be called out in badmintion ?
O at the end of the game
O at the end of each point
when the score changes
before each serve
Answers
A tennis player receives a shot with the ball (0.0600 kg) traveling horizontally at 59.4 m/s and returns the shot with the ball traveling horizontally at 37.2 m/s in the opposite direction. (Take the direction of the ball's final velocity (toward the net) to be the +x-direction).
(a) What is the impulse delivered to the ball by the racket?
(b) What work does the racket do on the ball?
Answers
5 9 . 4
- 3 7 . 2
2 2 . 2
Explanation:
Use the algorithm method.
5 9 . 4
- 3 7 . 2
2 2 . 2
2 Therefore, 59.4-37.2=22.259.4−37.2=22.2.
22.2
22.2
A pilot wants to fly due north a distance of 125 km. The wind is blowing out of the west at a constant 35 km/h. If the plane can travel at 175km/h, how long will the trip take?
Answers
The time taken for the trip is determined as 0.73 hrs.
What is the time taken for the trip?The time taken for the trip is calculated by applying the following formula as follows;
time taken for the trip = ( total displacement ) / (average velocity)
To determine the total displacement of the pilot we will use Pythagoras theorem as follows;
(175 t)² = (35t)² + 125²
where;
t is the time of motion30625t² = 1225t² + 15625
Simplify the equation further and solve for t;
30625t² - 1225t² = 15625
29400t² = 15625
t² = 15625/29,400
t² = 0.53
t = √0.53
t = 0.73 hrs
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How does the suns energy contibute to the movement of water in the water cycle
Answers
Explanation:
The sun is what makes the water cycle work. The sun provides what almost everything on Earth needs to go—energy, or heat. Heat causes liquid and frozen water to evaporate into water vapor gas, which rises high in the sky to form clouds... clouds that move over the globe and drop rain and snow.
Answer:
"The sun is what makes the water cycle work. ... Heat causes liquid and frozen water to evaporate into water vapor gas, which rises high in the sky to form clouds... clouds that move over the globe and drop rain and snow. This process is a large part of the water cycle."
Explanation:
What is the weight of a girl with a mass of 50 kilograms in a space station with an artificial gravity of 7 N/kg
Answers
Answer:
14.5 N I'm pretty sure I think this is the answer
All of the following are ways in which sports psychologists help athletes except __________.
A.
staying motivated
B.
managing fear of failure
C.
improving performance
D.
enhancing memory
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
D-Enhancing memory
Explanation:
PLS ANSWER I NEED HELP
How is an electromagnetic wave (such as a radio wave) different from an ocean wave?
A) An electromagnetic wave cannot travel through empty space, but an ocean wave can.
B) An electromagnetic wave does not require a physical medium to travel through.
C) An electromagnetic wave is a longitudinal wave and an ocean wave is an oblong wave.
D) An electromagnetic wave travels more slowly than an ocean wave.
Answers
Answer:
mmmm im going to say B but i’m not sure
Explanation:
Electromagnetic waves can travel through air and unlike ocean waves or sound waves they do not need physical molecules for like a medium to travel
During the 28-day lunar cycle, the positions of the Sun,
Earth, and the Moon change in relation to one another. The
diagram shows how their relative positions change.
Which statement describes the positions of the Moon, the Sun, and Earth
during a new moon?
A. Earth is closer to the Sun than to the Moon.
B. The Moon is between Earth and the Sun.
C. Earth is between the Moon and the Sun.
D. The Sun is between Earth and the Moon.
Answers
Answer: B
Explanation: B is the correct statement describing the positions of the Moon, the Sun, and the Earth during a new moon. The Moon is between Earth and the Sun.
During a new moon, the Moon is positioned between the Sun and the Earth, with the illuminated side of the Moon facing away from the Earth. This means that the side of the Moon that faces the Earth is not receiving any sunlight, making it invisible to us from Earth. The new moon is the first phase of the lunar cycle and occurs roughly every 29.5 days.
The area of a piston of a force pump is 8 X 10⁴m². What force must be
applied to the piston to raise oil (d = 780 Kg/mº) to a height of 6.0 m? Assume
the upper end of the oil is open to the atmosphere.
Answers
Answer:
Force of \(37.44 * 10^{8}\) Kgm/s^2 must be applied to the piston to raise oil to a height of 6.0 m
Explanation:
As we know,
Pressure is the force per unit area
Or \(P = \frac{F}{A}\)
Force \(= P * A\)
Pressure is the product of density, gravitational constant and height
\(P = 780 * 10 * 6\)
Force
\(= P * A\\= 780 * 10*6*8*10^4\\= 37.44 * 10^{8}\)Kgm/s^2
The force that must be applied to the piston to raise oil will be 37.44 ×10⁸ N. Force is defined as the ratio of presure and area. Its unit is Newton.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
The given data in the problem is;
A is the area of a piston = 8 X 10⁴m².
F is the force=?
h is the height = 6.0 m
Force is defined as the ratio of presure and area. Its unit is Newton.
\(\rm P = \frac{F}{A} \\\\ \rm F = P \times A \\\\ \rm F = 780 \times 10^6 \times 8 \times 10^4 \\\\ \rm F = 37.44 \times 10^8\)
Hence the force that must be applied to the piston to raise oil will be 37.44 ×10⁸ N.
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An 82kg male and 48kg female pari figure starting team are gliding across the ice of 7.4m/s preparing for a throw jump maneuver. The male starter tosses the female starter forward with a speed of 8.6n/s. Determine the speed of the male starter immediately after the throw.
Answers
Answer:
Explanation:
(m1 + m2)*V1 = m2*V2 + m1*Vx
Vx = ((m1 + m2)*V1 - m2*V2) / m1
Vx = ((82 + 48)*7.4 - 48*8.6) /82 = 6.7 m/s
compare the times of all sunsets during the same period what do you observe
Answers
Answer:
Theres no given?
Explanation:
Well, whatever.
I observed the shift of their sunset time.
Examples like:
January to June = their sunset time increased while
July to December = their sunset time decreased
The value of acceleration due to gravity (g) on Pluto is about 0.61 meters/second2. How much will an object that weighs 250 newtons on Earth weigh on Pluto? Note that the value of acceleration due to gravity on Earth is 9.8 meters/second2.
Answers
The weight of an object on pluto will be 15.56. Mass multiplied by the gravitational acceleration gives weight.
What is gravitation?Gravitation is a natural law by which all things with all matter are attracted towards one another. Gravity is responsible for large-scale structures present in the Universe.
By dividing the object's weight on Earth by 9.8 m/s², as illustrated below, one may calculate the object's mass.
m = 250 N / 9.8 m/s²
m = 25.51 kg
Multiply the acquired mass by Pluto's gravitational acceleration (g);
W = (25.51 kg) x (0.61 m/s²)
W = 15.56 N
Thus, the item will only be 15.56 N in weight.
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Answer: B.
15.6 newtons
Explanation: edmentum
