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Leona [35]
1 year ago
5

The small piston of a hydraulic press has an area of 3.2 in2. If the applied force is 2.0 lb, what must the area of the large pi

ston be to exert a pressing force of 795 lb?
Physics
1 answer:
BartSMP [9]1 year ago
7 0

Given data:

The area of the hydraulic press is,

A_1=3.2in^2

The applied force is,

F_1=2\text{ lb}

The pressing force on the large piston is

F_2=795\text{ lb}

Given hydraulic press works on Pascal's law principle.

From the Pascal's law, the equation can be given as,

\frac{F_1}{A_1}=\frac{F_2}{A_2}

Here,

A_2

is the area of the larger piston.

Substituting the values in the above equation, we get:

\begin{gathered} \frac{2\text{ lb}}{3.2in^2}=\frac{795\text{ lb}}{A_2} \\ A_2=1272in^2 \end{gathered}

Thus, the area of the large piston is

1272in^2

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The angular speed of an automobile engine is increased at a constant rate from 1120 rev/min to 2560 rev/min in 13.8 s. (a) What
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Complete Question

The angular speed of an automobile engine is increased at a constant rate from 1120 rev/min to 2560 rev/min in 13.8 s.

(a) What is its angular acceleration in revolutions per minute-squared

(b) How many revolutions does the engine make during this 20 s interval?

rev

Answer:

a

 \alpha = 6261 \  rev/minutes^2

b

 \theta  = 613 \ revolutions

Explanation:

From the question we are told that

   The initial  angular speed is w_i =  1120 \ rev/minutes

    The angular speed after t = 13.8 s = \frac{13.8}{60 }  = 0.23 \ minutes  is w_f = 2560 \ rev/minutes

    The time for revolution considered is t_r =  20 \ s  =  \frac{20}{60} = 0.333 \  minutes  

 Generally the angular acceleration is mathematically represented as

         \alpha = \frac{w_f - w_i }{t}

=>      \alpha = \frac{2560  - 1120 }{0.23}  

=>      \alpha = 6261 \  rev/minutes^2

Generally the number of revolution made is t_r =  20 \ s  =  \frac{20}{60} = 0.333 \  minutes  is mathematically represented as

           \theta  =  \frac{1}{2}  * (w_i + w_f)*  t

=>      \theta  =  \frac{1}{2}  * (1120+ 2560 )*  0.333

=>      \theta  = 613 \ revolutions

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3 years ago
The boiling point of water is 91.30 °C on the
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Answer:

196.34 °F

Explanation:

To convert from degrees celsius to degrees fahrenheit, use this equation:

(°C * 9/5) + 32 = °F

So, using this equation:

(91.30 * 9/5) + 32 = °F

196.34 + 32 = °F

°F = 196.34

Hope this helps!

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As you take your leisurely tour through the solar system, you come across a 1.45 kg rock that was ejected from a collision of as
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Answer:

1.3310\times 10^8 m/s is the rock's speed.

Explanation:

Momentum is defined as motion possessed by the moving body's mass. Mathematically it a product of mas and velocity of the body.

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Given : Mass of rock = m = 1.45 kg

Velocity of the rock = v

Momentum of the rock = P =1.93\times 10^8 kg m/s

1.93\times 10^8 kg m/s=1.45 kg\times v

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