To inspect a 12,500 N car, it is raised with a hydraulic lift. If the radius of the small piston is 5.0 cm, and the radius of the large piston (the car is sitting on the large piston) is 50 cm, find the force that must be exerted on the small piston to lift the car. N (precision to the nearest whole number)

Answers

Answer 1

Answer:

The force will be "125 N".

Explanation:

The given values are:

[tex]F_1=12500 \ N[/tex]

[tex]R_1 = 50 \ cm[/tex]

[tex]R_2=5 \ cm[/tex]

As we know,

⇒  [tex]A=\pi(H)^2[/tex]

then,

⇒  [tex]A_2=\pi(5)^2[/tex]

⇒  [tex]A_1=\pi(50)^2[/tex]

Since,

The pressure on both the pistons are equal, then

⇒  [tex]\frac{F_1}{A_1} =\frac{F_2}{A_2}[/tex]

or,

⇒  [tex]\frac{F_2}{F_1} =\frac{A_2}{A_1}[/tex]

By substituting the values, we get

⇒  [tex]\frac{F_2}{12500} =\frac{\pi(5)^2}{\pi(50)^2}[/tex]

⇒  [tex]\frac{F_2}{12500} =\frac{\pi(25)}{\pi(2500)}[/tex]

⇒      [tex]F_2=\frac{25}{2500}\times 12500[/tex]

⇒           [tex]=0.01\times 12500[/tex]

⇒           [tex]=125 \ N[/tex]


Related Questions

What is the size in square inches of a 550 MCM size of a cable

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0.925

What is the size in square inches of a 550 MCM size of a cable

In addition to passing an ASE certification test, automotive technicians must have __________ year(s) of on the job training or __________ year(s) of on the job training and a two-year degree in automotive repair to qualify for certification.

Answers

Two years or one year

Suppose you have two arrays: Arr1 and Arr2. Arr1 will be sorted values. For each element v in Arr2, you need to write a pseudo code that will print the number of elements in Arr1 that is less than or equal to v. For example: suppose you are given two arrays of size 5 and 3 respectively. 5 3 [size of the arrays] Arr1 = 1 3 5 7 9 Arr2 = 6 4 8 The output should be 3 2 4 Explanation: Firstly, you should search how many numbers are there in Arr1 which are less than 6. There are 1, 3, 5 which are less than 6 (total 3 numbers). Therefore, the answer for 6 will be 3. After that, you will do the same thing for 4 and 8 and output the corresponding answers which are 2 and 4. Your searching method should not take more than O (log n) time. Sample Input Sample Output 5 5 1 1 2 2 5 3 1 4 1 5 4 2 4 2 5

Answers

Answer:

The algorithm is as follows:

1. Declare Arr1 and Arr2

2. Get Input for Arr1 and Arr2

3. Initialize count to 0

4. For i in Arr2

4.1 For j in Arr1:

4.1.1 If i > j Then

4.1.1.1 count = count + 1

4.2 End j loop

4.3 Print count

4.4 count = 0

4.5 End i loop

5. End

Explanation:

This declares both arrays

1. Declare Arr1 and Arr2

This gets input for both arrays

2. Get Input for Arr1 and Arr2

This initializes count to 0

3. Initialize count to 0

This iterates through Arr2

4. For i in Arr2

This iterates through Arr1 (An inner loop)

4.1 For j in Arr1:

This checks if current element is greater than current element in Arr1

4.1.1 If i > j Then

If yes, count is incremented by 1

4.1.1.1 count = count + 1

This ends the inner loop

4.2 End j loop

Print count and set count to 0

4.3 Print count

4.4 count = 0

End the outer loop

4.5 End i loop

End the algorithm

5. End

A gas turbine receives a mixture having the following molar analysis: 10% CO2, 19% H2O, 71% N2 at 720 K, 0.35 MPa and a volumetric flow rate of 3.2 m3 /s. The mixture exits the turbine at 380 K, 0.11 MPa. For adiabatic operation with negligible kinetic and potential energy effects, determine the power developed at steady state, in kW.

Answers

Answer:

2074.2 KW

Explanation:

Determine power developed at steady state

First step : Determine mass flow rate  ( m )

m / Mmax = ( AV )₁ P₁ / RT₁   -------------------- ( 1 )

where : ( AV )₁ = 8.2 kg/s,  P₁ = 0.35 * 10^6 N/m^2,   R = 8.314 N.M / kmol ,

 T₁  = 720 K .

insert values into equation 1

m  = 0.1871  kmol/s  ( mix )

Next : calculate power developed at steady state ( using ideal gas tables to get the h values of the gases )

W( power developed at steady state )

W = m [ Yco2 ( h1 - h2 )co2

Attached below is the remaining  part of the detailed solution

List down 10 items made from plastic in your home. Describe why each item is made from plastic.

Answers

Answer:

each item is made from plastic are:

water bottlebucketjuggallonplastic bags as poly thin bagto cover wirehandle of knife,pressure cooker,etc plastic roofdustbinplastic plates ,cups

Explanation:

Items made from plastic in our home are

water bottlesjugbucketfood wrappersdisposable plastic cupshand sanitizer bottlesplastic grocery bagsstraws fruit basket Dustbin

items and their uses

Water bottles are used to drink waterfood wrappers are used to wrap the different types of food itemsplastic grocery bags are used to carry grocery itemshand sanitizer bottles are used to store sanitizerfruit basket is used to store and carry fruits .

hope it is helpful to you

3. In order to obtain your commercial driver's license (CDL) you must first:
A. obtain a commercial learner's permit (CLP).
B. have all restrictions removed from your personal driver's license.
C. be at least 15-years old.
D. both A and C.

Answers

A and C is the answer to the question. Be 15 years old & get a permit

Answer: is A

Explanation:

first thing first you cannot drive CMV with out a permit and To operate the CMV you need to be an adult

2 Select the correct answer from each drop-down menu. Identify the jobs with the type of risks they include. Michael is a/n engineer with the risk of inhaling very small crystalline particles that can cause silicosis, pulmonary diseases, or lung cancer. Tommy is a/n engineer with the risk of exposure to poisonous pollutants in production units when a certain reaction does not follow h. textile Reset Next chemical automobile​

Answers

Answer:

2nd option is correct

Explanation:

as Tommy is an engineer only exposed to poisonous pollutants while Michael is an engineer exposed to small crystalline particles that can cause lung cancer and other diseases

I Hope You Got Your Answer

Blood pressure is conventionally measured in the dimensions of millimeters in a column of mercury, and the readings are expressed as two numbers, for example, 120 and 80. The first number is called the systolic value, and it is the maximum pressure developed as the heart contracts. The second number (called the diastolic reading) is the pressure when the heart is at rest. In the units of kPa and psi, what is the difference in pressure between the given systolic and diastolic readings? The density of mercury is 13.54 Mg/m3.

Answers

Answer:

- the difference in pressure between the given systolic and diastolic readings in KPa is 5.313 KPa

- the difference in pressure between the given systolic and diastolic readings in psi is 0.77 psi

Explanation:

Given the data in the question;

blood pressure reading = 120 and 80 { systolic and diastolic }

To determine the difference in pressure between the two readings, we use the equation as follows;

change in pressure ΔP = p × g × h

where p is mercury density, g is acceleration due to gravity and h is difference of height in mercury column.

Frist,  

difference of height in mercury column h = 120 - 80 = 40 mm = 0.04 m

given that; The density of mercury is 13.54 Mg/m³ = 13.54 × 10³ kg/m³

Not that Mg is Megagrams not Milligrams }

we know that g = 9.81 m/s²

so we substitute into our equation;

change in pressure ΔP = (13.54 × 10³) × 9.81 × 0.04

ΔP = 5313.096 kg/m-s² ≈ 5313.096 N/m²

ΔP = 5.313 KPa

Therefore, the difference in pressure between the given systolic and diastolic readings in KPa is 5.313 KPa.

In psi,

ΔP = 5.313 KPa

ΔP = 5313 Pa

ΔP = 5313 pa × ( 1.45 × 10⁻⁴ psi / 1 Pa )

ΔP = 0.770385 psi ≈ 0.77 psi

Therefore, the difference in pressure between the given systolic and diastolic readings in psi is 0.77 psi

4. Which of the following requires an endorsement on your CDL?
A. Air brakes
B. Double/triple trailers
C. Manual transmission
D. All of the above

Answers

All of the above is the answer

The components which requires an endorsement on your Commercial Driver License (CDL) are: D. all of the above.

What is CDL?

CDL is an acronym for Commercial Driver License and it can be defined as a category of driver's license that is issued to an individual, in order to  indicate that he or she is qualified to operate and drive certain types of automobile vehicles or to use them in specific ways.

In the United States of America, the components which requires an endorsement on your Commercial Driver License (CDL) are:

Air brakesDouble/triple trailersManual transmission

Read more on CDL here: https://brainly.com/question/14326814

#SPJ2

Three single-phase, 10 kVA, 460/120 V, 60 Hz transformers are connected to form a three-phase 460/208 V transformer bank. The equivalent impedance of each transformer referred to HV side is 1.0 +j2.0 Ω. The transformer delivers 20 kW at 0.8 pf leading. Answer the following questions:
(a) Draw a schematic diagram showing the transformer connection.
(b) Determine the magnitude of transformer primary and secondary winding currents.
(c) Determine the primary voltage magnitude for this operating condition. Determine the voltage regulation

Answers

Answer:

A) attached below

B) I₁ = 18.1 A ,  I₂ = 69.39 A

C)  V( magnitude) = 454.5 ∠ 5.04° V ,  Voltage regulation = ≈  -1.2%

Explanation:

A) Schematic diagram attached below

attached below

B) magnitude of primary and secondary winding currents

I₂ ( secondary current ) = P / √3 * VL * cos∅ ---------- ( 1 )

VL = Line voltage = 208

cos∅  ( power factor ) = 0.8

P = 20 * 10^3 watts

insert values into equation 1

I₂ = 69.39 A

I₁ ( primary current ) = I₂V2 / V1

                               I₁ = ( 69.39 * 120 ) / 460  = 18.1 A

C ) Calculate the Primary voltage magnitude and the Voltage regulation

V(magnitude ) = Vp + ( I₁ ∠∅ ) Req                            ( 1 + j2 = 2.24 ∠63.43° )

                       = 460 + ( 18.1 * cos^-1 (0.8) ) ( 1 + j2 )

                       = 460 + 40.544 ∠ 100.3°

V( magnitude) = 454.5 ∠ 5.04° V

Voltage regulation

= ((Vmag - V1) / V1 )) * 100

= (( 454.5 - 460 / 460 )) * 100

= -1.195 % ≈  -1.2%

A rod of length L is made of a material with thermal conductivity k, initially with a tem- perature distribution along its length (the x-direction) that can be described by a function (x). Find the temperature distribution in the rod T(x,t) at time t>0 if all the surfaces and the two ends of the rod are thermally insulated.

Answers

Answer:

Temperature distribution = ( T( λ , T )  - Ta ) / (T₉ - Ta) =  erf ( λ / 2 √∝T )

Explanation:

Determine the temperature distribution in the Rod T( x,t )

Given data :

Length: L

Thermal conductivity ; K

t > 0

Taking a 2nd order derivative

d^2 T / dx^2 = 1 /∝ * dT/dS  

considering boundary conditions

T( λ , 0 ) = Ti

T ( 0,T ) = Ta given that   t>0

T ( ∝ , 1 ) = T₉ for ₉ >0

Finally the General equation for the temperature distribution in the Rod

= ( T( λ , T )  - Ta ) / (T₉ - Ta) =  erf ( λ / 2 √∝T )

What type of sensor is a crankshaft position sensor?

Answers

Answer: Generally, there are four types of crankshaft magnetic pick-up coils, Hall-effect sensors, magneto-resistive element sensors, and optical sensors.

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The volume of the pyramid is 36 cubic cm, find the volume of the prism.

Answers

Answer:

Given :- the volume of the pyramid is 36 cubic cm , find the volume of the prism on same base and same height as pyramid .

Answer :-

we know that,

Volume of pyramid = (1/3) * Base area * height .

Volume of prism = Base area * height .

so,

→ Volume of pyramid = 36 cm³

→ (1/3) * Base area * height = 36

→ Base area * height = 36 * 3

→ Base area * height = 108 cm³.

then,

→ Volume of prism = Base area * height .

→ Volume of prism = 108 cm³ (Ans.)

Explanation:

A steel wire is suspended vertically from its upper end. The wire is 400 ft long and has a diameter of 3/16 in. The unit weight of steel is 490 pcf. Compute:

a. the maximum tensile stress due to the weight of the wire
b. the maximum load P that could be supported at the lower end of the wire. Allowable tensile stress is 24,000 psi.

Answers

Answer:

a) the maximum tensile stress due to the weight of the wire is 1361.23 psi

b) the maximum load P that could be supported at the lower end of the wire is 624.83 lb

Explanation:

Given the data in the question;

Length of wire L = 400 ft = ( 400 × 12 )in = 4800 in

Diameter d = 3/16 in

Unit weight w = 490 pcf

First we determine the area of the wire;

A = π/4 × d²

we substitute

A = π/4 × (3/16)²

A = 0.0276 in²

Next we get the Volume

V = Area × Length of wire

we substitute

V = 0.0276 × 4800

V = 132.48 in³

Weight of the steel wire will be;

W = Unit weight × Volume

we substitute

W = 490 × ( 132.48 / 12³ )

W = 490 × 0.076666

W = 37.57 lb

a) the maximum tensile stress due to the weight of the wire;

σ[tex]_w[/tex] = W / A

we substitute

σ[tex]_w[/tex] = 37.57 / 0.0276

= 1361.23 psi

Therefore, the maximum tensile stress due to the weight of the wire is 1361.23 psi

b) the maximum load P that could be supported at the lower end of the wire. Allowable tensile stress is 24,000 psi

Maximum load P that the wire can safely support its lower end will be;

P = ( σ[tex]_{all[/tex] - σ[tex]_w[/tex] )A

we substitute

P = ( 24000 - 1361.23  )0.0276

P = 22638.77 × 0.0276

P = 624.83 lb

Therefore, the maximum load P that could be supported at the lower end of the wire is 624.83 lb

This determines whether two different String objects contain the same string.
a. the == operator
b. the = operator
c. the equals method
d. the stringCompare method

Answers

Answer: c. the equals method

Explanation:

There are more than one comparison that could be made about string objects. Hence, depending on the comparison we want to make, we could be in need of the == operator, equal() or the Stringcompare method. For the question posed above, we want to kno of two string objects containa the same string, hence we are concerned about comparing the content of each string. For this purpose, we make use of the equal(). In the case of making comparison about string reference, we use the == method while the StringCompare method comes in handy while making alphabetical or lexicographic comparison.

When you see a school bus stop with its stop sign extended or its lights flashing, you must stop, except for cases when:

Answers

Answer:

Whenever you approach a school bus from any direction, which has stopped to pick up or let off passengers while operating its flashing red lights, you must stop your vehicle at least 25 feet from the school bus. The only time you do not have to stop is when you are on the other side of a divided highway. You must stay stopped until the bus has started again or the bus driver stops operating the flashing red lights.

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