To determine the angular acceleration of the culvert, we can use the following formula: α = (τ - Icmα) / Icm
In this case, since the culvert is rolling without slipping, the net torque acting on the culvert is due to the gravitational force acting on the center of mass (G):
Icm = I + md^2.
First, let's convert the weight to pounds (lb) to mass (m) using the gravitational acceleration (g = 32.2 ft/s²):
m = 50016 lb / g ≈ 1553.17 lb / (32.2 ft/s²) ≈ 48.19 slugs
Next, we need to convert slugs to mass in pounds (lb):
m = 48.19 slugs * 32.2 ft/s² ≈ 1553.17 lb
Now, we can calculate the moment of inertia about the center of mass (Icm):
Icm = I + md²
Since the radius of gyration (kG) is given, we can use the formula:
Icm = mk²
Icm = 1553.17 lb * (3.7 ft)² ≈ 21067.42 lb ft²
Now, we can calculate the net torque (τ):
τ = r × F
The gravitational force (F) acting on the center of mass (G) can be calculated as:
F = m × g
F = 1553.17 lb * 32.2 ft/s² ≈ 50014.57 lb ft/s²
r = kG = 3.7 ft
τ = 3.7 ft × 50014.57 lb ft/s² ≈ 185068.42 lb ft²/s²
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.
A 1kg rock is held in place by against the inside wall of the rotating drum. The radius of the drum is 0. 2 meters and the period of the drum is 15. The angular momentum of the rock is
The angular momentum of a 1kg rock held in place by against the inside wall of the rotating drum can be calculated using the formula L = mvr⊥, where L is the angular momentum, m is the mass, v is the linear velocity and r⊥ is the perpendicular radius from the axis of rotation to the line of motion of the rock. In this case, r⊥ is equal to the radius of the drum, which is 0.2 meters. The linear velocity can be found by multiplying the angular velocity by the radius, i.e. v = ωr. The angular velocity can be obtained by dividing 2π by the period of rotation, i.e. ω = 2π/T. Therefore, the angular momentum of the rock is:
L = mvr⊥L = mωr²L = (1kg)(2π/T)(0.2m)²L = (0.08π/T) kg⋅m²/sIf the period of rotation is 15 seconds, then the angular momentum of the rock is:
L = (0.08π/15) kg⋅m²/sL = 0.0167 kg⋅m²/sAbout MomentumIn physics, momentum or center is a quantity related to the speed and mass of an object.
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What is your understanding of Electricity? Describe how electricity works, circuits, how does it move, what is moving? Where does electricity come from?
Solve for the gravitational potential energy at point B.
Use the steps below to show all your work for full points
Acceleration due to gravity =9.8 m/s/s
GPE = m*g*h
Answer:
GPEb=67.86% of initial GPE at point a
Explanation:
It depends on how massive the ball is, but I can still give an answer comparing original GPE at point A to new GPE at B
GPEa=m*9.8*140
GPEa=1372(m)
GPEb=m*9.8*95
GPEb=931(m)
GPEb=0.6786*GPEa
A. Read these sentences carefully. Choose the correct form of adjectives.
1. Solomon is the
king of all.
a wise
b. wiser
c. wisest
2. Yogurt is
than candies.
a delicious b. more delicious c. most delicious
3. Mayon Volcano is the
volcano for me.
a most majestic b. more majestic
c. majestic
4 My father is an
man
a industrious b. more industrious c. most industrious
5. I was the
when my friend graduated with honors.
a happy b. happier
c. happiest
Answer:
1. wisest
2. more delicious
3. majestic (not sure about this one)
4. industrious
5. happiest
What the meaning of is component?
Answer:
the projection of a vector quantity, as force or velocity, along an axis.
Explanation:
Two children fight over a toy. One pulls with a force of 8N to the right. The other pulls with
a force of 6N to the left. What is the strength and direction of the net force on the toy?
Answer: To the right
Explanation:
8n is more strength then 6n periodt pooh ✨
When two children fight over a toy. One pulls with a force of 8N to the right. The other pulls with a force of 6N to the left then the net force on the toy would be 2 N to the right.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
The mathematical expression for Newton's second law is as follows
F = ma
As given in the problem, two children fight over a toy. One pulls with a force of 8N to the right. The other pulls with a force of 6N to the left.
Net force = 8 - 6
= 2 Newtons
Thus, the net force of the toy comes out to be 2 Newtons.
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Answer the following questions.
1. What is the velocity of a car that traveled a total of 75 kilometers north in 1.5 hours?
2. What is the velocity of a plane that traveled 3,000 miles from New York to California in 5.0 hours?
3. John took 45 minutes to bicycle to his grandmother's house, a total of four kilometers. What was his speed in km/hr?.
4. It took 3.5 hours for a train to travel the distance between two cities at a speed of 120 miles/hr. How many miles lie between the two cities?
3.if time=45mins,D=4km,2700secs,4000m then. S=d/t S=1.4m/s
A 120 N accelerates an object 1. 2 m/s? What is the mass of the object?
Answer:
m = 100 kg
Explanation:
F = ma
120 = m × 1.2
m = 120 ÷ 1.2
m = 100 kg
An elevator does 9.75 x 10(4) J of work on a person riding up to another floor. How much energy does the person gain
Answer:
9.75 x 10^4 J
Explanation:
Work done, W = 9.75 x 10^4 J
According to the work energy theorem, the change in kinetic energy is equal to the work done by all the forces.
So, here work done is 9.75 x 10^4 J so the change in kinetic energy is 9.75 x 10^4 J.
A ball is rolled twice across the same level laboratory table and allowed to roll off
the table and strike the floor. In each trial, the time it takes the ball to travel from the
edge of the table to the floor is accurately measured. [Neglect friction.]
a) In trial A, the ball is traveling at 2.50 meters per second when it reaches
the edge of the table. The ball strikes the floor 0.391 second after rolling
off the edge of the table. Calculate the height of the table. (Organize your
given variables. Do not mix x-variables with the y-variables)
Answer:
Explanation:
To calculate the height of the table in this scenario, we can use the equations of motion. Let's define the variables first:
Initial velocity (u) = 2.50 m/s (given)
Time taken to reach the floor (t) = 0.391 s (given)
Acceleration due to gravity (g) = 9.8 m/s² (assuming the ball falls freely near the surface of the Earth)
Now, we can use the kinematic equation:
h = u * t + (1/2) * g * t²
Plugging in the given values, we have:
h = (2.50 m/s) * (0.391 s) + (1/2) * (9.8 m/s²) * (0.391 s)²
Simplifying the equation:
h = 0.97875 m + 0.07511 m
h = 1.05386 m
Therefore, the height of the table is approximately 1.05386 meters.
A car is driving east at 120. km/h from Toronto to Ottawa. The distance between the two cities is 425.5 km, how long will it take for the driver to reach Ottawa?
Answer:
The time it will take for the driver to reach Ottawa is 3 hours 32 minutes and 45 seconds
Explanation:
The given parameters are;
Speed of the car = 120 km/h
Distance from Toronto to Ottawa = 425.5 km
The formula for speed is given as follows;
Speed = Distance/Time
Therefore, to find the time duration it takes from Toronto to Ottawa, we have;
Time duration = Distance from Toronto to Ottawa/(Speed of the car)
The time duration = 425.5/120 = 3.54583 hours = 212.75 min = 12765 seconds
The time it takes from Toronto to Ottawa while driving at 425.5 km/h = 12765 seconds.
An object has no net force acting on it. Which best describes its motion
Answer:
The object will continue to move with a constant velocity.
Explanation:
Hope this helps you :)
What is the energy of a photon with a frequency of 2.2 x 1016 Hz? Planck's constant is 6.63 x 10-34 Jos.
O 1.5 x 10-17
8.8 x 10-17
O 1.5 10-16
O 8.8 10-16
Answer: 1.5 × 10^-17
Explanation:
Given the following :
Frequency(f) = 2.2 × 10^16 Hz
Planck's constant(h) = 6.63 × 10^-34
The energy of a photon 'E' is given as the product of frequency and the planck's constant
E = hf
E = (6.63 × 10^-34) × (2.2 × 10^16)
E = 6.63 × 2.2 × 10^(-34 +16)
E = 14.586 × 10^-18
E = 1.4586 × 10^-17
E = 1.5 × 10-17 (2 S. F)
Answer:
C. 1.5 × 10–16 J
Explanation:
A merry-go-round is rotating at constant angular speed. two children are riding the merry-go-round: ana is riding at point a and bobby is riding at point b. 1. which child moves with greater magnitude of linear velocity? a. ana has the greater magnitude of linear velocity. b. bobby has the greater magnitude of linear velocity. c. both ana and bobby
In a merry-go-round rotating at constant angular speed, two children Ana and Bobby are riding at different points A and B, respectively.
The linear velocity of a point on a rotating object depends on its distance from the center of rotation and the angular velocity of the object. The farther a point is from the center of rotation, the greater its linear velocity.
Therefore, the child riding at the outermost point, which is Bobby in this case, will have a greater magnitude of linear velocity compared to the child riding at the innermost point, which is Ana.
Thus, option (b) is correct - Bobby has the greater magnitude of linear velocity. This concept is important in understanding centripetal force and its effects on objects in circular motion.
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Does anybody know anything about speed and velocity? im hella stuck.
Answer:
lm.ao i was stuck too when i was on that
Explanation:
what u need to know sis?
speed, being a scalar quantity, is the rate at which an object covers distance. The average speed is the distance (a scalar quantity) per time ratio. Speed is ignorant of direction. On the other hand, velocity is a vector quantity; it is direction-aware. Velocity is the rate at which the position changes.
See attached doc for question!! include work for brainliest!! 15 point question!
Answer:
1st is correct answerExplanation:
Here angle between both vectors are less then other _____________&&_________Eating soda is used while cooking rice in the hotels ? why?
Answer:
because it helps to neutralize acid in our body.
A constant force of 900 n pushes a 100 kg mass up the inclined plane shown above at a uniform speed of 4 m/s. The power developed by the 900 n force is most nearly.
Answer:
the answer is 4m/s = 3600 w
list 2 application of convertional current
Answer:
direct current (DC) and alternating current (AC)
I'm not weather the answer is right or wrong....
A ball with an initial velocity of 2 m/s rolls for a period of 3 seconds. If the ball is uniformly accelerating at a rate of 3 m/s2, what will be the ball’s final velocity?
Answer: 11 m/s
vinitial=2 m/s
time=3 s
acceleration = 3 m/s^2
vfinal = ?
The key here is that it is a constant acceleration, so we can use the constant acceleration equations. The easiest one to use would be:
vfinal=vinitial + a*t
We need vfinal, so algebraically we are ready to put in numbers into the equation:
vfinal=vinitial + a*t = 2 m/s + (3 m/s^2)*(3 s ) = 11 m/s is the final velocity
The ball's final velocity is 11 m/s
From one of equations of kinematics for linear motion
We have that
v = u + at
Where v is the final velocity
u is the initial velocity
a is the acceleration
and t is the time
From the given information in the question
u = 2 m/s
t = 3 secs
a = 3 m/s²
Putting these parameters into the above formula
v = u + at
We get
v = 2 + (3×3)
v = 2 + 9
v = 11 m/s
Hence, the ball's final velocity is 11 m/s
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a hiker of mass 59 kg is going to climb to the top of mount tam, which has an elevation of 2,574 ft.part (a) if the hiker starts climbing at an elevation of 560 ft, what will their change in gravitational potential energy be, in joules, once they reach the top? assume the zero of gravitational potential energy is at sea level.
457280.13 8 J change in gravitational potential energy is needed.
where
m = 68 kj
H = 2574 ft
where = 32 5 ft
a )if Gravitational potential energy is zero at see level .
then at strating
point,
Equation
G. P . E ( Ui ) = mgh
Change in G PE ;
AU = UJ - Vi
= mgy- mgh = mg ( H-h)
= 68 x9.81 [2574 - 325 0.3048
AU = 457280' 138 Joules
at top
GPE ( Uf ) = mgy
P . E = 0
GPF = Gravitational potential Energy .
at Top ape = 0
b)then change in GPE ;
ΔU = U(top) - Vata
= 0 - [-mg ( 4-h )]
= mg ( H-h j
= 68 * 9 . 81 [ 257 4 - 325 ) 0.3048
ΔU = 45 7280 . 13 8 J.
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PLEASE HELP!!! I have an electromagnet. If I detach the two wires from the battery and reattach them to the opposite terminals, how would that change the current and magnetic field?
Explanation:
hope it helps thanks
pls mark me as brainliest
Why do astronomers suspect that a supernova explosion occurred near the nebula that gave birth to the solar system?.
Answer:
Meteorites Contain Magnesium-26
Brainliest Please!
Eva makes a graphic organizer to compare electromagnets with solenoids. A venn diagram with 2 intersecting circles. The circle on the left is labeled electromagnet and the circle on the right is labeled solenoid. There is an X in the electromagnet circle. Which description belongs in the region marked X? has a magnetic field like a bar magnet has a metal core uses electromagnetic induction uses an electric current.
The metalcore is the central component of any metal that is covered by wires. Metalcore is found in the X denoted area.
What is a solenoid?A solenoid is a coil of wire that conducts an electric current. A solenoid is an electromagnet made out of a wire or helical coil.
When an electric current is sent through the coil, it produces a magnetic field. A solenoid is a coil that generates a magnetic field when an electric current passes through it.
When a conductive wire is used to build a loop, a solenoid is formed.
Hence the metalcore is found in the given X area.
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Answer: b
Explanation:
edge
One end of a massless, ideal spring is mounted on the left side of a horizontal air-track. The unattached end of the spring is pulled 0.350 meters 0.350 meters from its equilibrium position ( x = 0.0 m ) toward the right (the positive direction). The force required to hold the spring at this position is 2.50 N 2.50 N . A glider with a mass of 0.150 kg 0.150 kg is attached to the extended spring and released from rest. Ignoring friction and air resistance, which of the following most closely approximates the instantaneous velocity of the glider when it is at x = − 0.100 m A) 0.866 m/s B) 2.31 m/s C) 2.87 m/s D) 3.88 m/s
To solve this problem, we need to use conservation of energy. The spring has elastic potential energy due to being stretched, which will be transferred into kinetic energy as the glider moves.
At the release point, all of the potential energy will be converted into kinetic energy, so we can use the equation \(KE = 0.5mv^2 to solve for v.\)
We can also use the force required to hold the spring at 0.350 m to calculate the spring constant, k, using Hooke's Law (F = -kx).
Once we have k, we can calculate the maximum displacement of the glider (x = -0.100 m)
Use conservation of energy to solve for v. The correct answer is C) 2.87 m/s.
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a 70 kg person does a bungee jump from a bridge and falls straight down. the natural length of the bungee cord is 20 m and it has a spring constant k of 80 n/m. when the bungee cord has a total length of 25 m, what is the sign and magnitude of the y-component of acceleration of the jumper in units of m/s2 ? assume that the y direction is up and use g
A 70 kg person does a bungee jump from a bridge and falls straight down. The y-component of acceleration of the jumper is 1.6 m/s².
Given that,
Spring constant k is 80 N/m
Natural length of the bungee cord is 20 m
Total length of the bungee cord is 25 m
From Newton's second law of motion we know that, F = ma
By drawing a free body diagram we get,
Fe - W = m*a
where, Fe is elastic force, it can be written as k*Δx
k is the spring constant
Δx is the change in length of the cord
W is weight of the body acting downwards (mg)
Fe - W = m*a
k Δx - mg = ma
a = k/m (Δx) - g
a = k/m (x₁-x₀) - g
a = 80/70 (25-20) - 9.8
a = 11.43 - 9.8 = 1.6 m/s²
Thus, the acceleration of the jumper is 1.6 m/s².
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what would happen to our vision if the lens of our eyes were concave? defend your answer NO LINKS!!!
If the lens of our eyes were concave, we would not be able to see. We would be blind. This is because our eyes form a visual image on the same side of the lens at the object being viewed. Thus, a concave lens would result in the visual image focusing in front of the eye, not the retina inside the eye. This would mean that no signals would be sent to the brain, and vision would not be possible.
Suppose in the sticky collision demonstration your instructor had started the two carts at the ends
of the track and launched them to collide somewhere in the middle. The 250g cart was moving to
the right at 0.42 m/s. The 500g cart was moving to the left at 0.30 m/s.
Calculate the momentum of the system before the collision.
The momentum of the system before the collision 255 g⋅m/s.
How to determine momentum?In this case, the mass of the first cart is 250 grams, the velocity of the first cart is 0.42 m/s, the mass of the second cart is 500 grams, and the velocity of the second cart is 0.30 m/s.
The momentum of the first cart is:
momentum = 250 g × 0.42 m/s = 105 g⋅m/s
The momentum of the second cart is:
total momentum = 105 g⋅m/s + 150 g⋅m/s = 255 g⋅m/s
Therefore, the total momentum of the system before the collision is 255 g⋅m/s.
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A block is placed on a plane whose angle of inclination is 30. The coefficients of static and kinetic friction for the block on the inclined plane are both 0.2. The block (A) remains stationary on the inclined plane. (B) accelerates down the inclined plane. (C) travels down the inclined plane at constant velocity. (D) travels up the inclined plane at constant velocity. (E) accelerates up the inclined plane. ***This question was already answered and they say it remains stationary but I am getting it would accelerate down the inclined plane. Please provide all work. I get fsmax = u mg cos 30 = (.2)*(.866) & Fapp= mgsin30 = (.5) [Removed m and g since same]. Fapp is .5 which is greater than fsmax .1732 so block would accelerate down plane.
The block would accelerate down the inclined plane. The force applied is greater than the maximum force of static friction. The correct answer is (B).
Angle of inclination of plane, θ = 30, Coefficient of static friction, µs = 0.2, Coefficient of kinetic friction, µk = 0.2The block is stationary, A block (A) remains stationary on the inclined plane, which implies that the force of static friction fsmax acting upwards balances the force of gravity mgsinθ acting downwards.
Using the formula of maximum force of static friction, we get; fsmax = µs x mg cosθ = 0.2 x mg x cos 30 ......(1)Also, the maximum force of static friction, in this case, is less than the force of gravity acting downwards. Hence, the block will slide down the incline.
On substituting the values in eq. (1), we get; fsmax = (0.2) (9.8) (0.866) ≈ 1.69 N. The force of gravity acting on the block will be; Fg = mg sinθ = 0.5mg N. Since the force applied, Fapp is greater than fsmax, the block will accelerate down the plane. So, the correct answer is (B).
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An 9 kg cat is running with a velocity of 3 m/s. What is the cat's momentum?
I think it's 3
Explanation:
trust me bro