define the term capacitance and its SI unit​

Solution :

Given :

L = 1 in

d = 0.75 in

D = 1 in

Fillet radius, r = 0.063 in

[tex]$K_{t_{bending}=\frac{\sigma_{FEA_{bending }}}{\sigma_{Nominal_{bending }}}$[/tex]

We know that :

[tex]$\sigma_{b} = \frac{32M}{\pi d^3}$[/tex]

[tex]$\sigma_{b} = \frac{32 \times (2998.63 \times 25.4)}{\pi (0.75 \times 25.4)^3}$[/tex]

    [tex]$=112.27 \ N/mm^2$[/tex]

[tex]$\sigma_{FEA} = 1.3 \times 10^8 \ N/m^2$[/tex]

         [tex]$=1.3 \times 10^8 \times 10^{-6}$[/tex]

         [tex]$=1.3 \times 10^2$[/tex]   MPa

         = 130 MPa

Therefore, the stress concentration factor is :

[tex]$k_t=\frac{130}{112.27}$[/tex]

   = 1.157922

Answer:

40000 N/m²

Explanation:

Applying,

P =  F/A................... Equation 1

Where P = Pressure, F = Force, A = Area.

From the question,

The force(F) exerted by the person's foot is thesame as it's weight.

F = W = mg............ Equation 2

Where m = mass of the person, g = acceleration due to gravity.

Substitute equation 2 into equation 1

P = mg/A................ Equation 3

Given: m = 60 kg, g = 10 m/s², A = 150 cm² = (150/10000) m² = 0.015 m²

Substitute these values into equation 3

P = (60×10)/0.015

P = 600/0.015

P = 40000 N/m²

Answer:

the answer from my side is both vertical and horizontal

Answer:

Entirely horizontal

Explanation:

The ball begins the movement with horizontal and vertical velocity, but it is subject to the gravity acceleration, that will break the movement. When it achieves the top of the path, is when the vertical velocity go to 0 and begin to grow in the opposite direction, so in the very top of the path, the velocity is entirely horizontal

Answer:

Newton's first law

Explanation:

you see, when an object is in motion, it tends to stay in motion, but in your case, if a object is at rest, it usually stays at rest unless acted upon my an unbalanced force which is pulling card from under the coin extremely quick and because you pulled it extremely quick, the coin isn't light enough to be moved easily with the paper, nor enough friction and speed for the coin to continue sticking onto the piece of paper

A.K.A. the coin is heavy, which is why it did not move with the paper

Answer:

Newton's First Law - Law of Inertia

Explanation:

Newton's First Law, the Law of Inertia mentions that an object at rest will stay in rest until acted by another force. The penny's inertia will cause it to fall directly down into the cup because the magnitude of external force applied by the card will be too meager to have a notable effect.

Answer:

Explanation:

I think it's insects. All the rest have some sort of spinal structure. They are classified as vertebrates (meaning they have a spinal structure).

Answer:

Mammals

Explanation:

Mammals are the odd ones out because they do not lay eggs. Unlike amphibians, fish, birds, reptiles, and insects, which do lay eggs.

Answer:

Current, I = 20 Amperes.

Explanation:

Given the following data;

Voltage = 40 V

Resistance = 2 Ohms

To find current flowing through the resistor;

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

[tex] V = IR[/tex]

Where;

V represents voltage measured in voltage.

I represents current measured in amperes.

R represents resistance measured in ohms.

Making current (I) the subject of formula, we have;

[tex] I = \frac {V}{R} [/tex]

Substituting into the formula, we have;

[tex] I = \frac {40}{2} [/tex]

Current, I = 20 Amperes.

Answer:

451.13 J/kg.°C

Explanation:

Applying,

Q = cm(t₂-t₁)............... Equation 1

Where Q = Heat, c = specific heat capacity of iron, m = mass of iron, t₂= Final temperature, t₁ = initial temperature.

Make c the subject of the equation

c = Q/m(t₂-t₁).............. Equation 2

From the question,

Given: Q = 1500 J, m = 133 g = 0.113 kg, t₁ = 20 °C, t₂ = 45 °C

Substitute these values into equation 2

c = 1500/[0.133(45-20)]

c = 1500/(0.133×25)

c = 1500/3.325

c = 451.13 J/kg.°C

Answer:

eu não consigo entender essa situação o Fim dessa história só pode ter confusão dos iguais com cabeças diferentes a invés de amigas são concorrentes

Answer:

Coulomb force

Explanation:

The electric force between charged bodies at rest is conventionally called electrostatic force or Coulomb force. The force is along the straight line joining the two charges.

Answer:

let one capacitor be x and other be y

[tex]in \: parallel \: connection : \\ \frac{x + y}{xy} = 10 \times {10}^{ - 6} - - - (a) \\ in \: series \: connection : \\ x + y = 2.4 \times {10}^{ - 6} - - - (b) \\ in \: (a) : \\ \frac{2.4 \times {10}^{ - 6} }{xy} = 10 \times {10}^{ - 6} \\ xy = 0.24 - - - (c) \\ from \: (b) : \\ y = (2.4 \times {10}^{ - 6} ) - x \\ \therefore \: in \: (c) : \\ x(2.4 \times {10}^{ - 6} - x) = 0.24 \\ 2.4 \times {10}^{ - 6} x - {x}^{2} = 0.24 \\ {x}^{2} - 2.4 \times {10}^{ - 6} x - 0.24 = 0 \\ x = 0.5 \\ 0.5y = 0.24 \\ y = 0.48 \\ { \boxed{ C _{1} = 0.5 \: farads}} \\ { \boxed{C _{2} = 0.48 \: farads}}[/tex]

Answer:

v_f = 2.9m/s

Explanation:

v_f = v_I + a(t)

v_f = 0.6m/s + 1.2m/s²(1.9s)

v_f = 2.88m/s

v_f = 2.9m/s

Answer:

Answer:

35%

Explanation:

win

The amount of work required to lift the 230 kg to a height of 3.5 m at  84% efficiency is 9391.67 J

This can be defined as the capacity to achieve a given task with little or no waste. Mathematically, it can be expressed as

Efficiency = (output / input) × 100

Work output = mgh

Work output = 230 × 9.8 × 3.5

Work output = 7889 J

Efficiency = (output / input) × 100

84% = 7889 / input

Cross multiply

84% × input = 7889

Divide both side by 84%

Input = 7889 / 84%

Input = 7889 / 0.84

Input = 9391.67 J

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Answer:

Your answer is 37.5 N

Explanation:

Force, F = BIL

F = 15 x 5 x 0.5 = 37.5 N

Answer:

Let the power delivered by the sound wave be 'P'

Intensity by definition is the power delivered per unit area.

i.e. I =

dA

dP

;

In spherical polar coordinate system dA = r

2

Ω

I =

r

2

Ω

dP

;

I ∝

r

2

1

So if distance increases 3 fold. The Intensity becomes

9

1

times the initial

Answer:

Gravity

Explanation:

Because without gravity thee would be no boat floating on water

Answer:

Part A

Time period, designated by the symbol, 'T', is defines as the time it takes for a complete cycle of an oscillation or vibration (of a wave) to transit through a given point.

The longer the time period of a wave, the lower the frequency of the wave

The unit of the time period is seconds, 's'

Part B

Mathematically, the formula for the time period is presented as follows;

f = 1/T

∴ T = 1/f

f = v/λ

∴ T = λ/v

Where;

v = The velocity of the wave;

λ = The wavelength of the wave

Explanation:

         The relationship between electric current and potential difference is stated by Ohm's law. Most conductors' current is directly inversely proportional to the voltage applied to them. German physicist Georg Simon Ohm was the first to empirically confirm Ohm's law.

The expression for Ohm's law is V I. As a result, V = RI, where R is the resistance constant. R is influenced by the conductor's material, size, and other factors. Ohm () is its SI unit.

      Ohms to volts conversion using the formula watts volts = watts ohms. or.

V = √W × Ω Example.

Given that,

  Voltage (v) = 250 V          

  Resistance (R) = 25 Ω,

   Determine current (I) =?

 We know that from ohm's law

 V = I R    

  I = V/R

  I = 250 / 25

  I = 10 A

Current in the circuit is 10 Amps.

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Answer:

v = 37.59 km/h

Explanation:

The question says, "how fast in km / h did usain bolt run at the berlin world championship in 2009 to break the world record for the 100m sprint in 9.58".

Distance, d = 100 m = 0.1 km

Time, t = 9.58 s = 0.00266 h

We need to find the speed of the Usain Bolt. We know that,

Speed = distance/time

So,

[tex]v=\dfrac{0.1}{0.00266}\\\\v=37.59\ km/h[/tex]

So, the required speed is equal to 37.59 km/h.

Answer:

[tex]E=84.5V[/tex]

Explanation:

From the question we are told that:

Number of Turns [tex]N=332turns[/tex]

Radius [tex]r= 30cm[/tex]

Field Change [tex]B=56mt-29mt=27mt[/tex]

Time [tex]t=63ms[/tex]

Generally the equation for Magnetic Field is mathematically given by

 [tex]\frac{dB}{dt}=\frac{27*10^{-3}}{29*10^{-3}}[/tex]

 [tex]\frac{dB}{dt}=0.9T/s[/tex]

Generally the Flux at 332 turns is  mathematically given by

 [tex]\phi=N*A*B[/tex]

Generally the equation for Area of coil is mathematically given by

 [tex]A=\pi*r^2[/tex]

 [tex]A=\pi*(r*10^{-2})^2[/tex]

Since

 [tex]\phi=332*\pi*(\theta*10^{-2})^2*B[/tex]

Therefore

 [tex]\frac{d \phi}{dt}=332*\pi*(900*10^{-4}*\frac{dB}{dt}[/tex]

Generally the equation for emf Magnitude is mathematically given by

 [tex]E=\frac{d\phi}{dt}[/tex]

 [tex]E=332*\pi*(900*10^{-4}*0.9[/tex]

 [tex]E=84.5V[/tex]

Answer:

0.09 kg

Explanation:

The details of boiling liquid are;

The rate of thermal energy absorption by the liquid, P = 450 W

The specific latent heat of vaporization, c = 2.7 × 10⁶ J/kg

The required information = The amount of liquid vaporized in t = 9 minutes

We have;

P = E/t

Where;

P = Power supplied by the heat source = The rate of absorption of thermal energy

E = The energy absorbed

t = The time

The energy absorbed in 9 minutes, E = P × t

∴ E = 450 W × 9 min × 60 s/min = 243,000 J

The heat required to evaporate 1 kg of liquid = The  specific latent heat of vaporization, c = 2.7 × 10⁶ Joules

The mass of the liquid evaporated by the energy absorbed, E, m = E/c

∴ m = 243,000 J/(2.7 × 10⁶ J/kg) = 0.09 kg

Therefore, the mass of the liquid vaporized by the energy absorbed at a rate of 450 W, in 9 minutes, m = 0.09 kg.

Answer:

air mass

Explanation:

Remember, the weather of a particular location is often a description of the atmospheric condition of that particular place.

Indeed, the definition of an air mass fits the reporter's description above. As the name implies, a particular air mass would represent the temperature characteristics of a particular area that has a constant or the same temperature and air pressure.

Answer:

The final velocity is 50 m/s.

Explanation:

Below is the calculation of velocity:

v = u + a*t

v = final velocity

u = initial velocity

a = accreleration

Since, u = 0, a = 10m/s^2, and t = 5 seconds. Now plug these values in the formula.

v = u + a*t

v = 0 + 10 x 5

v = 50 m/s

The final velocity is 50 m/s.

Answer:

60N

Explanation:

According to the principle of lever: a torque can control if an object will spin or not.

The torque Iskander cause is 40*1.2=48 N-m

So for balanced, Danny should cause the same torque.

48/0.8=60, Danny weigh 60N.

Answer:

Maybe the answer is Newton's third law

Answer:

The answer is below

Explanation:

Given that the volume (V) = 0.4 m³, temperature difference (ΔT) = 270 K - 350 K = -80 K, pressure (P) = 60 kPa = 60000 Pa, R = 8.314 J/molK

Since we have constant volume, we can use the final state parameters to calculate the number of moles using the ideal gas law:

[tex]PV=nRT\\\\n=\frac{PV}{RT} =\frac{60000*0.4}{8.314*270} =10.69\ moles[/tex]

Given that the molar heat capacity at constant volume ([tex]C_v[/tex]) = 28.0 J/(mol K), the heat absorbed (Q) is:

[tex]Q=nC_v\Delta T=10.69*28*(-80) = -23945.6\ J\\\\Q=-23.95\ kJ[/tex]

Q ≈ -24 kJ