1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
torisob [31]
3 years ago
13

A hydraulic press has one piston of diameter 4.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the s

maller piston to obtain a force of 1600 N at the larger piston
Physics
1 answer:
yan [13]3 years ago
8 0

Answer:

The  force is F_1  = 400.8 \  N

Explanation:

From the question we are told that

   The first  diameter is  d_1 =  4.0 \ cm =  0.04 \ m

   The second diameter is  d_2  =  8.0 \ cm  = 0.08 \  m

   

Generally the first area is  

         A_1  =  \pi  * \frac{d^2_1 }{4}

=>      A_1  = 3.142  * \frac{0.04^2}{4}

=>       A_1  =  0.00126 \ m^2

The  second area is  

     A_2 =  \pi  * \frac{d^2_2 }{4}

     A_2  = 3.142  * \frac{0.08^2}{4}

     A_2  =  0.00503 \ m^2

For a hydraulic press the pressure at both end must be equal .

Generally  pressure is mathematically represented as

    P =  \frac{F}{A}

=>  

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

=>   F_1  =  \frac{1600}{0.00503}  *  0.00126

=>    F_1  = 400.8 \  N

You might be interested in
List at least three factors that would cause an organism to migrate one habitat to another
GalinKa [24]

1. Escaping a predator – this increases its chances of survival. It could move to an area with low predator population

2. Finding food – food might get scarce in the current habitat and hence increased competition in the community. Finding another habitat with a higher availability food will increase survival

3. To find a mate/ to reproduce – reproduction in an intrinsic compulsion in all animals as a means to perpetuate their own gene. Solitary animals, such as the leopard, leave their habitat to find a mate and reproduce.


4 0
3 years ago
When you jump off the earth, your momentum changes, but the Earth does not move. 1)If momentum is always conserved, why do we no
Mazyrski [523]

This question is off-base and misleading from the beginning.

When you jump off the Earth, your momentum changes, <em>and the Earth moves away from you with an equal change of momentum in the opposite direction</em>.

1). Momentum is conserved when you jump.  But we don't feel the Earth moving. Since the Earth's mass is a bazillion times greater than YOUR mass, the speed with which the Earth moves away from you is only one bazillionth of your speed.  That way, the product of (mass) x (speed) is the SAME for you and for the Earth, and momentum is conserved.

2). <em>Of course !</em>  If everyone jumped at the same time, the Earth's momentum would change.  In answer-(1), I explained that the Earth's momentum changes whenever <em>ONE PERSON</em> jumps.  So 7 billion people all jumping at the same time would certainly make it change.

8 0
3 years ago
If 12 coulombs of electric charge pass a point in 4.0
zubka84 [21]

Answer:

AS

Explanation:

6 0
3 years ago
Is it possible to determine from the data in the graphs whether the sensor attached to cart a is actually plugged into ch a and
ladessa [460]
<span>It is possible to determine which cart to which ch is connected if the graph would show electrical charge, ie, amps or voltage. If the graph showed a series circuit diagram this would also allow determination. Bottom line is that a correct graph data will show the requested information.</span>
4 0
3 years ago
A merry-go-round with a a radius of R = 1.63 m and moment of inertia I = 196 kg-m2 is spinning with an initial angular speed of
kondor19780726 [428]

Answer:

1) L = 299.88 kg-m²/s

2) L = 613.2 kg-m²/s

3) L = 499.758 kg-m²/s

4) ω₁ = 0.769 rad/s

5) Fc = 70.3686 N

6) v = 1.2535 m/s

7) ω₀ = 1.53 rad/s

Explanation:

Given

R = 1.63 m

I₀ = 196 kg-m²

ω₀ = 1.53 rad/s

m = 73 kg

v = 4.2 m/s

1) What is the magnitude of the initial angular momentum of the merry-go-round?

We use the equation

L = I₀*ω₀ = 196 kg-m²*1.53 rad/s = 299.88 kg-m²/s

2) What is the magnitude of the angular momentum of the person 2 meters before she jumps on the merry-go-round?

We use the equation

L = m*v*Rp = 73 kg*4.2 m/s*2.00 m = 613.2 kg-m²/s

3) What is the magnitude of the angular momentum of the person just before she jumps on to the merry-go-round?

We use the equation

L = m*v*R = 73 kg*4.2 m/s*1.63 m = 499.758 kg-m²/s

4) What is the angular speed of the merry-go-round after the person jumps on?

We can apply The Principle of Conservation of Angular Momentum

L in = L fin

⇒ I₀*ω₀ = I₁*ω₁

where

I₁ = I₀ + m*R²

⇒  I₀*ω₀ = (I₀ + m*R²)*ω₁

Now, we can get ω₁

⇒  ω₁ = I₀*ω₀ / (I₀ + m*R²)

⇒  ω₁ = 196 kg-m²*1.53 rad/s / (196 kg-m² + 73 kg*(1.63 m)²)

⇒  ω₁ = 0.769 rad/s

5) Once the merry-go-round travels at this new angular speed, with what force does the person need to hold on?

We have to get the centripetal force as follows

Fc = m*ω²*R  

⇒  Fc = 73 kg*(0.769 rad/s)²*1.63 m = 70.3686 N

6) Once the person gets half way around, they decide to simply let go of the merry-go-round to exit the ride.

What is the linear velocity of the person right as they leave the merry-go-round?

we can use the equation

v = ω₁*R = 0.769 rad/s*1.63 m = 1.2535 m/s

7) What is the angular speed of the merry-go-round after the person lets go?

ω₀ = 1.53 rad/s

It comes back to its initial angular speed

8 0
3 years ago
Other questions:
  • How many objects to Newton’s first and second laws deal with
    15·1 answer
  • At t=10 ~\text{s}t=10 s, a particle is moving from left to right with a speed of 5.0 ~\text{m/s}5.0 m/s. At t=20 ~\text{s}t=20 s
    15·1 answer
  • A radar astronomer who is new at the job claims she beamed radio waves to Jupiter and received an echo exactly 48 min later. Sho
    13·1 answer
  • A car traveling at speed of 24 m/s comes to stop at the red light how much time will it take for the car to stop if its accelera
    10·2 answers
  • Rigel’s luminosity is about _____ times the sun’s luminosity.
    15·1 answer
  • In 1984 a team of german physicists synthesized a new element by smashing an iron-58 nucleus into a lead-208 target. if a neutro
    6·1 answer
  • How many electron flow through a light bulb each second if the current flow through the light bulb 0.75A.The electric charge of
    12·1 answer
  • A skydiver falls from rest through air and reaches teminal velocity
    11·1 answer
  • Which ammeter will have the biggest reading
    5·1 answer
  • Which type of wave does the illustration depict?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!