An electric motor delivers a shaft torque of 15 lb. ft at 1800 rpm. what is the motor power?

Answer:

Energy cannot be created or destroyed

The total amount of energy remains the same even though it may change forms. The amount of energy before and after any energy transformations remain the same because energy cannot be created or destroyed.

Explanation:

The sign needs to be placed 292.07 feet in advance of the curve in order to provide cars enough room to safely slow down.

Prior to putting up a sign board to slow down traffic, we first calculate the distance.

d is the safe stopping distance, Si is the initial speed (60 mph), t is the time reaction (2.5 seconds), Sf is the end speed (40 mph), and G is the grade (0).

Therefore, we replace d = (1.47 60 2.5) + [(602 - 402) / 30(0.348 0) = 220.5 + (2000/10.44) = 220.5 + 191.57 = 412.07 ft Now that we know that a warning sign is clearly visible at a distance of 120 ft, the ideal safe distance will be d = minimum distance - sign visible distance d = 412.07 ft.

d = 412.07 - 120

d = 292.07 ft

In order to ensure that vehicles have enough room to safely slow down, the sign must be placed 292.07 feet ahead of the bend.

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The potential energy is 47040 joules.

We need to know about potential energy to solve this problem. The potential energy is the object's energy caused by its position. Potential energy can be determined as

PE = m . g . h

where PE is potential energy, m is mass, g is the gravitational acceleration (9.8 m/s²) and h is height.

From the question above, we know that

m = 60 kg

h = 80 m

By substituting the given parameters, we can calculate the potential energy

PE = m . g . h

PE = 60 . 9.8 . 80

PE = 47040 joules

Hence, the potential energy is 47040 joules.

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(a), (b), and (C) have the same resultant.

In two-dimensional,

When a body moves in the east direction or positive x-axis then is denoted by [tex]\hat{i}[/tex] and when the body moves in the north direction or positive y-axis then is denoted by [tex]\hat{j}[/tex].

For option (a),

2m east, 3m north, 4m west

Let's say the initial position is origin then,

[tex]2\hat{i} + 3\hat{j} - 4\hat{i} = - 2\hat{i} + 3\hat{j}[/tex]

Then the displacement is:

= √ [ (-2)² + (3)² ]

= √[ 4 + 9] = √13 m

For (b),

2m north, 3m west, 4m east

[tex]2\hat{j} - 3\hat{i} + 4\hat{i} = \hat{i} + 2\hat{j}[/tex]

The displacement will be:

= √[ (1)² + (2)² ]

= √5 m

For (c),

2m east, 4m west, 3m north

Then,

[tex]2\hat{i} - 4\hat{i} + 3\hat{j} = -2\hat{i} + 3\hat{j}[/tex]

The resultant of displacement is:

= √[ (-2)² + (3)² ]

= √[ 4 + 9]

= √13 m

For (d),

3m north, 2m east, 4m west​

Then,

[tex]3\hat{j} + 2\hat{i} - 4\hat{i} = -2\hat{i} + 3\hat{j}[/tex]

Then, the resultant of displacement will be:

= √[ (-2)² + (3)² ]

= √[ 4 + 9]

= √13 m

Hence (a), (c), and (d) have the same resultant.

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The complete question is mentioned below:

two or more of the following sets of displacement, when carried out in the order shown, have the same resultant, which are they? (a) 2m east, 3m north, 4m west (b) 2m north, 3m west, 4m east (c) 2m east, 4m west, 3m north (d) 3m north, 2m east, 4m west​

Addition of vectors can be done using the Pythagorean theorem for perpendicular vectors and the Parallelogram law of vector addition for non-perpendicular vectors.

The head of the first vector must meet the tail of the second vector in order for the two vectors to be added together, according to the triangle law of vector addition. We may thus acquire the resulting sum vector by connecting the head of the second vector to the tail of the first vector.

Addition of vectors which are perpendicular is done using the Pythagorean theorem,

[tex]C^2 = A^2 + B^2\\C = \sqrt{A^2 + B^2}[/tex]

Addition of vectors not perpendicular to each other is done using the Parallelogram law of vector addition:

[tex]R = \sqrt{A^2 + B^2 + 2AB cos\theta}[/tex]

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Answer:

As mentioned before middle thing nucleus and blue things with +1 charge (positive) [I am talking about the key] are protons anything else that you need help with?

The momentum change is 125440 kg.m/s.

We need to know about momentum to solve this problem. Momentum can be defined as the degree of difficulty to stop a moving object. It can be determined by

P = m . v

where P is momentum, m is mass and v is velocity.

Momentum also can be defined by kinetic energy

KE = 1/2 . m . v²

KE = P² / 2m

where KE is kinetic energy

From the question above, we know that:

m = 80 kg

h = 1 m

g = 9.8 m/s²

By conservation of energy, the initial kinetic energy is zero because of the person is in static condition. Hence, the initial momentum is

KEo = Po² / 2m

Po = 0 kgm/s

After the jump, the person will have maximum kinetic energy before landing which can be written

KE = PE

P² / 2m = m . g . h

P² = 2m² . 9.8 . 1

P² = 2.80² . 9.8 . 1

P² = 125440 kg.m/s

The momentum change is

ΔP = P - Po

ΔP = 125440 - 0

ΔP = 125440 kgm/s

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The average acceleration is -7.09 m/s² and the stopping time is 3.87 sec.

Given,

Final velocity, v = 0

Initial velocity, u = 62 mph

Converting mph to km/h and to m/s, we get

u = 99.2 km/h

Or, u = 27.5 m/s

Displacement, s = 175 feet

Or, s = 53.3 meter

By using the third equation of motion, we get

v² - u² = 2as

0 - (27.5)² = 2 × a × 53.3

Or, acceleration(a) = -7.09 m/s²

Now, by the first equation of motion,

v = u + at

Or, - u = at

-27.5 = -7.09 × t

Or, t = 27.5/7.09

t = 3.87 sec

The stopping time (t) is 3.87 sec

Hence, the average acceleration is -7.09 m/s², and the time is 3.87 sec.

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The speed with which the train reaches the rock slide is 19.36 m/s

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

The initial velocity of the train can be obtained as illustrated below:

–1.6 = (0 – u) / 12.1

Cross multiply

0 – u = –1.6 × 12.1

– u = –19.36

Divide both sides by –1

u = –19.36 / –1

u = 19.36 m/s

Thus, the train uses 19.36 m/s to reach the rock slide

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90 caloric content of 100g of fruit salad containing 20g of apple, 25g of strawberry, 15g of grapes, 30g of banana, and 10g of honey.

energy are the strength that a meals or beverage includes.

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The predicted  decrease in level of employment percentage is calculated as 6.81%

Elasticity of demand for labor = % Change in Demand for Labor/ % Change in wage

Elasticity of demand for labor = 0.15

% Change in wage = (16-11)/11×100 = 45.45%

Elasticity of demand for labor = % Change in Demand for Labor/ % Change in wage

0.15 = % Change in Demand for Labor/45.45%

% Change in Demand for Labor =   45.45%×0.15

                                                                 = 6.81%

What is price elasticity of demand means?

Price elasticity of demand is that the ratio of the percentage change in quantity demanded of a product to the percentage change in price. Economists employ it to know how supply and demand change when a product's price changes

Why is price elasticity of demand important?

Price elasticity is that the measure of the market's response to price changes. Elasticity is vital to pricing decisions because it helps us understand whether raising prices or lowering prices will enable us to achieve our pricing objectives.

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If the volume is held constant, a process is said to be isochoric (or iso-volumetric). The work that the system performs in any isochoric process is always zero.

In thermodynamics, a condition in which a system's volume doesn't change is referred to as an isochoric process. A pressure volume diagram serves as the model for this operation (PV diagram). Consequently, Q1 / Q2 = T1 / T2 or Q1 / Q2 = Q2 / T2 as these two equations are equivalent. The term "lower amount of heat" refers to the proportion of heat to temperature. The total of the reduced amount of heat is therefore zero for the Carnot heat engine. As a result, we can see that in an isochoric process, the volume is constant, and no work is being done. The gas's intrinsic energy is the only thing that changes.

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The average speed is 22 m/s. so, the value is less than 23.0 m/s.

Given:

Time  T1 = 16.0 m/s, 10.0 min

Time  T2 = 28.0 m/s, 10.0 min.

Average speed = distance / time ;

v =  [  16×10 ×60  + 28×10×60  ]  /  [ 10×60 + 10×60  ]

v = 22 m /s

The Actual Speed is the calculated velocity at which the axis is presently moving, as computed from the alternate within side the Transducer Counts repute register. The Actual Speed is in function devices according to second.

Speed has the dimensions of distance divided via way of means of time. The SI unit of velocity is the metre in keeping with the second (m/s), however, the maximum not unusual place unit of velocity in regular utilization is the kilometre in keeping with the hour (km/h) or, within side the US and the UK, miles in keeping with the hour (mph). For air and marine travel, the knot is normally used.

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The power output would be 981 watts.

Metered energy for one metering interval, measured in kWh per meter in interval, multiplied by the number of metering intervals in an hour equals power output.

The average rate of electric energy delivery during the course of one metering interval, expressed as an hourly rate of delivery in kWh, is the outcome.

The maximum power, stated in kW, that a charging station, pool, or shore-side energy supply system is theoretically capable of giving to a linked car or vessel is the installation’s “power output.”

Work is the process of transferring energy into an object to move it in some way.

Energy is the term used to describe the capacity to accomplish tasks. Acted upon

60 kg x 9.81 = 588.6N

100m/min = 5/3 m/s

Power= v.w

= 588.6 x 5/3

=981 watts

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Drive defensively. Simply said, aggressive driving accelerates the rate of battery drain in your electric vehicle.

Speed up. When feasible, try to maintain your speed under 60 mph.

An electric motor is a mechanical device that converts electrical energy into mechanical energy. The majority of electric motors function by producing torque that is applied to the motor shaft through the interaction of the motor's magnetic field and the electric current flowing through a wire winding.

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The formation and evolution of discs can be better understood by performing kinematic studies of disc galaxies utilizing specific Milky Way stars or statistical analyses of global disc kinematics across time.

Older stars are kinematically hotter at birth and get hotter as they grow older (the disc settles over time in an “upside-down” formation scenario).

The disc also expands from the inside out, and radial mixing has resulted in the presence of many of the older stars in the current solar neighborhood.

We show that the model used to explain the general decrease in velocity dispersion observed in disc galaxies from z 2-3 to the present day, in which the disc evolves in quasi-stable equilibrium and the ISM velocity dispersion decreases over time due to a decreasing gas fraction, can also be used to explain the evolution of birth in h277.

Our findings connect local measurements of the Milky Way’s AVR with those of high-z disc galaxies’ observed kinematics.

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The direct variation equation is I = kh and it will take 42.1 hours for the restaurant to earn Php 1,000,000.

The direct variation equation has the form y = kx, where k is the constant proportionality. It is a linear equation with two variables.

In an 8-hour period, Jollibee takes in Php 190000.

The direct variation equation is given as y = kx, where y is directly proportional to x.

Hours worked (h) directly affect income (I), where k is the variational constant.

Therefore,

I = k × h

190000 = k × (8)

k = 23750 / 190000

Now, when the restaurant earns Php 1,000,000.

Therefore, using the direct variation equation:

Income = variable constant × number of hours

I = k × h

1,000,000 = (23750) × h

h = 1,000,000 / 23750

h = 42.1 hours

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The angle between the velocity vector and acceleration vector at any given point in the orbit would be 90 degrees, therefore the correct answer is option A.

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

As given in the If a  satellite in orbit around Earth is in a uniform circular motion then we have to find the angle between the velocity vector and acceleration vector.

In a uniform circular motion, the angle between the velocity vector and acceleration vector is always π/2.

The angle between the velocity vector and acceleration vector at any given point in the orbit would be 90 degrees.

Thus, the correct answer is option A.

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half-life of the isotope br3574 is 25.4 minute The amount of isotope remained after 90min = 0.01g

number of periods= time/ half life

= 90/25,=3.6

so at each time 4/3.6=1.1, 1.1/7.2= 0.15 and 0.15/10.8=0.01g

The period of time it takes for one-half of a radioactive isotope to decay is known as the half-life. A given radioactive isotope's half-life is constant; it is unaffected by external factors and independent of the isotope's starting concentration.

or

Half-life is the length of time it takes for a radioactive element to decay to half of its initial value. This suggests that a source's activity has a half-life when it takes time for it to decrease to half its initial value

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The velocity of the body will be 30.6 m/s.

The object's highest vertical point during its trajectory is at its maximum height. Before it reaches the highest point, the item is flying upward; once it reaches that point, it is falling.

The velocity of the body is 60 m/s when thrown vertically upwards.

The maximum height attained by the body after 3 seconds.

Then, the initial velocity of the body is :

u = 60 m/s

t = 3 seconds

Then, using the equation of motion:

v = u - gt , the negative sign indicates that the body is moving opposite to gravity.

Therefore,

v = 60 - (9.8)(3)

v = 60 - 29.4

v = 30.6 m/s

Hence, the final velocity of the body when thrown upwards before it comes to stop is 30.6 m/s.

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The minimum diameter of a steel wire if it is to support a mass of 80 kg is 1.41 * 10⁻³ m.

The minimum diameter, d of the steel wire can be calculated thus:

α = 5.0 × 10⁸ Pa.

mass, m = 80 kg

Force = 80 * 98 = 784 N

Area = force/α

area = 784/5.0 × 10⁸

area = 1.57 * 10⁻⁶

Area = πd²/4

d = √(4 * area/π)

d = √(4 *  1.57 * 10⁻⁶ * 7/22)

diameter = 1.41 * 10⁻³ m

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Note that the complete question is given below:

What is the minimum diameter of a steel wire if it is to support a mass of 80 kg? The elastic limit of steel is 5.0 × 10⁸ Pa.

The absolute pressure of the air inside the cylinder is 16 lbf/in

1.3psig.

A straightforward idea is pressure—the measurement of force in a certain space.

There are several approaches of comprehending the strain, nevertheless, depending on the query.

Here are some tips for differentiating pressure measurement types and units when describing when and why such pressure measurements are employed.

Calculate the mass of the piston by applying the equilibrium condition.

∑F_y=0

p_(air)A_(piston)- p_(atm)A_(piston)-m_(piston)g=0

(p_(air)-p_(atm))A_(piston)-m_(piston)g=0

m_(piston)=(p_(air)-p_(atm))A_(piston)/g ______(1)

Calculate the area of the piston,

A_piston= πD^2/4

=π×D^2/4

=π×6^2/4

=28.274 in^2

By substituting the value in m_(piston)=(p_(air)-p_(atm))A_(piston)/g

=(16.14.7 lbf/in.^2)(28.274 in.^2)/32.2 ft/s^2(32.2 ft/s^2/1lbf)

=36.756 lbm

b)

Calculate the gage pressure if the air,

p_(gage) = p_(abs)-p_(atm)

p_(gage)=16-14.7

=1.3psig

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The greatest speed pilot can reach with an acceleration of 5g before he blacks out is 240 m/s.

The acceleration due to gravity is g.

g = 9.8 m/s²

The acceleration of the jet is,

[tex]Acceleration = Mass \times Gravity[/tex]

[tex]a = m \times g[/tex]

[tex]a = 5 \times 9.8[/tex]

[tex]a = 49 \: m/s ^{2} [/tex]

The acceleration of the jet is 49 m/s².

Let the speed of sound be v.

[tex]v = 331 \: m/s[/tex]

Let the initial velocity of the jet be

[tex]Let \: the \: initial \: velocity \: of \: the \: jet \: [/tex]

[tex]be \: v _i.[/tex]

[tex]v _i = 0[/tex]

The time at which the pilot will black out with 49 m/s² acceleration = 4.9 s

Let the time taken to reach Mach 3 be t.

Then the final velocity will be,

[tex]v _f = 3 \times v[/tex]

[tex]v _f = 3 \times 331[/tex]

[tex]v _f = 993 \: m/s[/tex]

[tex]v _f = v _i + at[/tex]

[tex]993 = 0 + (49)t[/tex]

[tex]t = 20.26 \: s[/tex]

Thus, the time taken to reach Mach 3 is 20.26 s.it is greater than the time interval at which the pilot will black out. So the pilot will black out.

The greatest speed pilot can reach with an acceleration of 5g before he blacks out is,

[tex]v _f = 0 +( 49 \times 4.9)[/tex]

[tex]v _f = 240.1 \: m/s[/tex]

Therefore, the greatest speed pilot can reach with an acceleration of 5g before he blacks out is 240 m/s.

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The distance at which the car meets the truck after the traffic light turns green is at 302.5 m

We know that,

s = ut + 1/2 a[tex]t^{2}[/tex]

v = s / t

where,

s = Distance

u = Initial velocity

t = Time

a = Acceleration

Given that,

The car has with a constant acceleration of 3.2 m / [tex]s^{2}[/tex]

Initial velocity of car = 0

Velocity of truck = 22 m / s

After the traffic signal distance travelled by the car and truck are equal and time taken is also equal.

For the truck,

s = v * t

For the car,

s = ut + 1/2 a[tex]t^{2}[/tex]

vt = ut + 1/2 a[tex]t^{2}[/tex]

22 * t = 0 + 1/2 * 3.2 * [tex]t^{2}[/tex]

t = 13.75 s

s = v * t = 22 * 13.75

s = 302.5 m

Velocity is the distance travelled by an object with respect to time. It is denoted by V.

Therefore, the distance at which the car meets the truck after the traffic light turns green is at 302.5 m

The given question is incomplete. The complete question is

At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 3.20 m/[tex]s^{2}[/tex] . at the same instant a truck, traveling with a constant speed of 22.0 m/s , overtakes and passes the car. How far beyond the traffic signal will the car overtake the truck?

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In this scenario, skepticism is important to the progression of science as it led to collection of several complete data sets.

In the given scenario, the scientist is performing a experimental scientific method. It is based on observations, hypothesis and experiments. This method is done because of skepticism. Since she performs the experiment multiple times, it leads to collection of several complete data sets.

Skepticism is different from denial. Skepticism allows scientists to come to a logical conclusion with evidence that can be confirmed by others. If a person is in denial, they would simply reject any information that is different from their beliefs even though they were presented with evidence disproving their theory.

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The acceleration of the bicyclist is 3.35 m / s². It takes the bicyclist 1.64 s to travel the 30 meters

We know that,

a = ( v - u ) / t

s = ut + 1 / 2 at²

where,

a = Acceleration

v = Final velocity

u = Initial velocity

t = Time taken

s = Distance travelled

Given that,

u = 15.6 m / s

v = 21.1 m / s

s = 30 m

a = ( 21.1 - 15.6 ) / t = 5.5 / t

s = ut + 1 / 2 at²

30 = 15.6 t + 1 / 2 ( 5.5 t )

30 = 15.6 t + 2.75 t

t = 30 / 18.35

t = 1.64 s

a = 5.5 / t = 5.5 / 1.64

a = 3.35 m / s²

Equations of motion are used to describe the position of an object using the motion of the object with respect to time. It is done using speed, acceleration, distance and time.

Therefore,

a) The acceleration of the bicyclist is 3.35 m / s²

b) Time taken by the bicyclist =

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Answer: A frame of reference is a reference point combined with a set of directions. A frame of reference is similar to the idea of a reference point. A frame of reference is defined as a reference point combined with a set of directions. For example, a boy is standing still inside a train as it pulls out of a station.

Explanation: hope this helps!!!!

Answer:

The prospect of giving a presentation fills some people with dread, while others relish the experience. However you feel, presenting your work to an audience is a vital part of professional life for researchers and academics. Presentations are a great way to speak directly to people who are interested in your field of study, to gather ideas to push your projects forward, and to make valuable personal connections.