A flywheel (I= 50 kg-m²) starting from rest acquires an angular velocity of 200.0 rad/s while subject to a constant torque from a motor for 5 s.
(a) What isthe angular acceleration of the flywheel?
(b) What is the magnitude of the torque?

ANSWER:

(a) 3

(b) 37.35 kg

(c) 488 N

STEP-BY-STEP EXPLANATION:

Given:

T = 122 N

(a)

We make the balance of force to be able to determine the weight, just like this:

Now, the formula to calculate the mechanical advantage is the following:

(b)

The mass is calculated using the following formula:

(c)

We can calculate this force (tension) by the following force balance:

Vehicles need to be serviced for several reasons such as preventing costly repairs and improving fuel economy.

First, regular maintenance can help to prevent costly repairs down the road. Second, maintenance can help to improve fuel economy and emissions. Third, maintenance can help to keep your vehicle safe and reliable.

The servicing requirements for petrol/diesel and electric vehicles differ in a number of ways. Petrol/diesel vehicles require oil changes more frequently than electric vehicles. This is because petrol/diesel engines use oil to lubricate the moving parts, while electric motors do not. Petrol/diesel vehicles also require tune-ups more frequently than electric vehicles.

This is because petrol/diesel engines have more moving parts that need to be synchronized, while electric motors have fewer moving parts.

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Answer: true

Explanation:

Answer:

0 J

Explanation:

KE = .5(m)(v2-v1)

if velocity is constant v2 = v1, then v2 - v1 = 0

therefore if (v2-v1) = 0, then KE must also be equal to 0

Answer:

\(\huge\boxed{\sf a = 3.5 \ m/s^2}\)

Explanation:

Initial velocity = \(V_i\) = 0 m/s

Final velocity = \(V_f\) = 16.1 m.s

Time = t = 4.5 seconds

Acceleration = a = ?

\(\displaystyle a = \frac{V_f-V_i}{t}\)

Put the given data in the above formula.

\(\displaystyle a = \frac{16.1-0}{4.6} \\\\a = \frac{16.1}{4.6} \\\\a = 3.5 \ m/s^2\\\\\rule[225]{225}{2}\)

Answer:

Option A. The car’s velocity decelerated

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 45 mph Northeast

Final velocity (v) = 30 mph North

Now, if we take the difference between the car's final velocity and it's Initial velocity, we shall obtained:

Difference in velocity = v – u

Difference in velocity = 30 – 45

Difference in velocity = –15 mph

Since the difference between the final velocity and the initial velocity of the car is negative, it implies that the car's velocity decelerated.

Thus, option A gives the correct answer to the question

Answer:

acceleration =Force/mass

a=1000/200=5m/s

Answer:

Balance. Eyes. Elbow. Follow-Through

Explanation:

Answer:

you have to take 4 to 5 steps to do the step

Explanation:

A piston-work cylinder device with a set of stops initially contains 0.6 kg of steam at 1.0 MPa and 400°C. The location of the stops corresponds to 40 percent of the initial volume. Now the steam is cooled. compression work is 44.32 KJ,

The amount of labor put into the piston to cause its reciprocating motion is known as the piston work. It is calculated by multiplying the piston's displacement by the net force.

An expanding gas cylinder's force output is transferred by pistons to the crankshaft, which then drives the flywheel's rotation. A reciprocating engine is a device like this.

Piston work is the effort made by the piston to make its reciprocating motion. The piston's displacement is calculated by multiplying it by the net force.

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(a) The period of the oscillation is 0.8 s.

(b) The frequency of the oscillation is 1.25 Hz.

(c) The angular frequency of the oscillation is 7.885 rad/s.

(d) The amplitude of the oscillation is 3 cm.

(e) The force constant of the spring is 148.1 N/m.

The given parameters:

From the given graph, we can determine the missing parameters.

The amplitude of the wave is the maximum displacement, A = 3 cm

The period of the oscillation is the time taken to make one complete cycle.

T = 0.8 s

The frequency of the oscillation is calculated as follows;

\(f = \frac{1}{T} \\\\f = \frac{1 }{0.8} \\\\f = 1.25 \ Hz\)

The angular frequency of the oscillation is calculated as follows;

\(\omega = 2\pi f\\\\\omega = 2\pi \times 1.25\\\\\omega = 7.855 \ rad/s\)

The force constant of the spring is calculated as follows;

\(\omega = \sqrt{\frac{k}{m} } \\\\\omega ^2 = \frac{k}{m} \\\\ k = \omega ^2 m\\\\k = (7.855)^2 \times 2.4\\\\k = 148.1 \ N/m\)

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Answer:

If one wraps the fingers around the wire and points the thumb in the direction of the "conventional" current the fingers will point towards the North pole - the direction of the B-field.

In this case the B-field is pointed "West".

If you put your spoon in the microwave, nothing will happen to it as long as it has round edges and it is not touching any sides of the microwave.

Spoons are generally made from stainless steel. Stainless steels are iron and chromium. In some cases, other metals such as nickel are thrown into the mix.

Thus, being made of metals, these stainless steels are good conductors of heat and electricity.

A microwave works by heating foods put into it using electromagnetic radiation in the microwave frequency range. Electromagnetic radiation causes the molecules of food to rotate and produce thermal energy.

If the spoon touches the side of the microwave, sparks may result. Otherwise, it is totally fine because spoons usually have round edges. With rough edges,  the waves may be reflected back and forth and create sparks.

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1. (a) Peixotto Media's charter authorizes the sale of 35,000,000 shares of stock, but it will begin by offering 20,000 of them at a par value of $4 per share. John William currently has $500 that he would like to invest in this company's stocks. John William will be able to purchase 125 shares of Peixotto Media stock.

(b) Privileges John William will have as a shareholder in Peixotto Media are Voting Rights, Dividend Payments, Capital Appreciation etc.

(a) In order to calculate how much stock John William will be able to purchase, we need to determine how many shares he can buy with his available funds. The par value per share is $4, so to find the number of shares he can buy, we divide his investment amount ($500) by the par value per share ($4):

Number of shares = Investment amount / Par value per share

Number of shares = $500 / $4 = 125 shares

Therefore, John William will be able to purchase 125 shares of Peixotto Media stock.

(b) As a shareholder in Peixotto Media, John William will have certain privileges. These privileges typically include:

Voting Rights: Shareholders are generally entitled to vote on matters that affect the company, such as electing the board of directors or approving major corporate decisions.

Dividend Payments: If the company declares dividends, shareholders may receive a portion of the company's profits in the form of dividend payments.

Capital Appreciation: If the value of the company's stock increases, shareholders can benefit from capital appreciation by selling their shares at a higher price than what they initially paid.

Information Rights: Shareholders have the right to access certain company information, such as financial reports or annual statements, to stay informed about the company's performance.

Liquidation Preference: In the event of the company's liquidation or bankruptcy, shareholders may have a claim on the company's assets after other obligations are fulfilled.

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The equation is;

213/83 Bi ----> 209/81Tl + 4/2 He

In this decay process, the unstable Bi-213 nucleus emits an alpha particle, which consists of two protons and two neutrons (also known as a helium-4 nucleus).

As a result of this emission, the daughter nucleus Tl-209 is formed with a decrease of four in the atomic number and a decrease of eight in the mass number. The alpha particle, He-4, has an atomic number of 2 and a mass number of 4, and is emitted with high kinetic energy.

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A 1.0 kg block is pushed 20 m at a constant velocity up a vertical wall by a constant force applied at an angle of 26.0° with the horizontal.The acceleration of gravity is 9.81 m/s². Thus, calculated values are:

a)  the work done by the force on the block: 19.62 J

b)  the work done by gravity on the block: -19.62 J

c) the magnitude of the normal force between the block and the wall:  17.7 N

Anything that causes a change in velocity is referred to as an acceleration. You can only accelerate by changing the speed, direction, or both as velocity is a function of both speed and direction.

let m = 1.0 kg

d = 2.0 m

θ = 29°

let, F is the applied force.

let, Fx and Fy are components of F.

As the block is moving upward with constant velocity, net force acting on the block must be zero.

F×nety = 0

or, Fy - m×g = 0

or, Fy = m×g

or, Fy = 1×9.81 N

or, Fy = 9.81 N

a) The work done by the force on the block, WF = Fy×d×cos(0°)

= (9.81×2) J

= 19.62 J

b) The work done by gravity, Wg = Fg×d×cos(180°)

= 1 ×9.81×2×(-1)

= -19.62 J

c) we know, Fy = F×sin(29°)

Fx = F×cos(29°)

Fy/Fx = tan(29°)

Fx = Fy/tan(29°)

Fx = 9.81/tan(29)

Fx = 17.7 N

now use, Fnetx = 0

or, Fx - N = 0

or, N = Fx

or, N = 17.7 N

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Answer:130

Explanation:just answered it

The mechanisms by which out-of-plane deformation in the laser forming process can occur include:

This is the mechanism which involves bending the sheet to a laser light source.

The experiment shown in this scenario depicts it as one plane of the sheet can be seen raised.

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Answer:

44°

Explanation:

Look for the longest distance under the 'Distance ' column....look to the left to find the corresponding angle

  Table clearly shows that the longest distance (133 ft) occurs at angle of 44°

The surface temperature of the stars whose infrared radiation have a wavelength of  2 µm is 1.45×10³ K.

Temperature is the measure of hotness or coldness of a thing or place.

To calculate the temperature of the stars, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the surface temperature of the stars is 1.45×10³ K.

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In the event when the hand is carrying a ball with a mass of 5.00 kg, the bicep muscle will exert  132.3 N of force. Let's say the forearm weighs 8.50 kg, with the mass's centre 20.0 cm from the elbow.

M = the ball's mass

mass of the forearm is mf.

rf = distance of centre of mass of forearm from elbow, which is 20 cm (0.20 m) away from elbow, and rb = distance of ball from elbow

force exerted by the biceps, F

r = distance of biceps force from elbow

Using elbow-based torque equilibrium

F r = mf rf + mb rb

using the equilibrium of force in the vertical direction, F r = 3.2 eq-1 where F r = 5 x 0.30 + 8.50 x 0.20

F = mb + mf g

F = 8.50* 9.8 + 5 * 9.8

F = 132.3 N

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Answer:

Inertia; Newton's First Law

Explanation:

When you hit you're breaks, the force you feel that pulls you forward is due to inertia.

Newton's first law says that "every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force." The question is a perfect example of this.

It is due to the inertia of motion of the objects that they fall on the floor bed. This is also called Newton's first law of motion.

Newton's first law of motion is known as the law of inertia.

Given is a man who is driving a car at 35 mph hits his brakes suddenly in order to avoid hitting a dog. During the incident, everything in the front seat of his car slides forward and into the floorboard.

The property of body by virtue of which it resist any change in its state of rest or uniform motion is called inertia of body. When the car was moving at 35 mph, every object on front seat was also moving with the same speed. However, when the brakes were applied, they were applied on the car and not on the objects in the front seat. Hence, they keep moving forward and stop only when they strike and fall down. This is called inertia of motion. This is Newton's first law of motion.

Therefore, it is due to the inertia of motion of the objects that they fall on the floor bed. This is also called Newton's first law of motion.

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The magnitude of horizontal force, is 33.27 N.

Length of the uniform bar, L = 24 m

Mass of the uniform bar, m = 5 kg

Angle between the cord and the bar, θ₁ = 90°

Angle between the cord and the wall, θ₂ = 50°

For the horizontal equilibrium,

Hₓ = T sinθ₂

Hₓ = T x sin 50

Hₓ = 0.766 T

For the vertical equilibrium,

Hy + T cosθ₂ = mg

Hy + T cos 50 = 5 x 9.8

Hy + 0.642 T = 49 N

For rotational equilibrium,

mg (L/2) = T x L

So,

T = mg/2 = 5 x 9.8/2

T = 24.5 N

Therefore, the magnitude of horizontal force,

Hy = 49 - (0.642 x 24.5)

Hy = 49 - 15.73

Hy = 33.27 N

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Answer:

Explanation:

Without friction, a roller coaster continuously converts potential energy to kinetic energy and back again. Total energy will be constant.

Let m be the mass of the car and ground level is the origin.

on the 5.5 m hill, total energy is

E = PE + KE

E = mgh + ½mv²  

E = m(9.8)(5.5) + ½m(9.3)² = 97m J

a) The maximum height will occur when the total energy is all potential energy.

E = mgh

h = E/mg

h = 97m/m(9.8) = 9.9 m  

As this value is greater than the height of the third hill at 5.5 + 4.0 = 9.5 m The car will cross the last hill with some remaining velocity in kinetic energy.

b) As 9.5 m is greater than 9.3 m, the 9.5 m hill will have more of the total energy of the system as potential energy, This mean there is less kinetic energy and therefore less velocity (and speed) on top of the 9.5 m hill.

c) KE = E - PE

KE = 97m - m(9.8)(9.5 - 1.0)

KE = 97m = 83.3m

KE = 13.7m = ½mv²

v² = √(2(13.7)

v = 5.2345...

v = 5.2 m/s

Answer:

72 cm³

Explanation:

The volume of a textbook can be calculated as

Volume = Length x Width x Height

Replacing the length by 6 cm, the width by 4 cm, and the height by 3 cm, we get:

Volume = 6 cm x 4 cm x 3 cm

Volume = 72 cm³

Therefore, the volume of the textbook is 72 cm³

Answer:

True

Explanation

the right shoes will help with the comfort & it will help with limits you have on your legs.. Weights, posture,& will help with injury...