A 24.0 cm long screwdriver is used as a lever to open a can of paint. If the fulcrum is 0.500 cm away from the end of the screwd
1 answer:
The ideal mechanical advantage of the screwdriver is 47
Explanation:
In this problem, the screwdriver acts as a lever.
The Ideal Mechanical Advantage (IMA) of a lever is given by:
where:
is the distance of the point of application of the input force from the fulcrum
is the distance of the output force from the fulcrum
In this problem, we have:
, since the fulcrum is 0.500 cm from the end
(the distance between the fulcrum and the point where are we holding the screwdriver)
Substutiting,
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B) The object's velocity doubled.
Explanation:
The graph is missing: find it in attachment.
The kinetic energy of an object is the energy possessed by the object due to its motion. It is calculated as
where
m is the mass of the object
v is the velocity of the object
We notice that:
- The kinetic energy is directly proportional to the mass
- The kinetic energy is proportional to the square of the velocity
In the graph, one of the two quantities (either mass or speed) is represented on the x-axis, while the quantity on the y-axis is the kinetic energy.
First of all, we notice that the relationship is not linear: this means that the quantity on the x-axis cannot be the mass, so it must be the velocity.
Moreover, we notice that when the quantity on the x-axis increases from 1 to 2 (so, it doubles), the kinetic energy increases by a factor of 4. This means that the object's velocity has doubled, therefore
B) The object's velocity doubled.
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Answer:
Inlet :
Outlet:
Explanation:
1) Notation and important concepts
Flow of mass represent "the mass of a substance which passes per unit of time".
Flow rate represent "a measure of the volume of liquid that moves in a certain amount of time"
Specific volume is "the ratio of the substance's volume to its mass. It is the reciprocal of density."
Isentropic process is a "thermodynamic process, in which the entropy of the fluid or gas remains constant".
We know that the flow of mass is given by the following expression
, where
represent the flow rate and
the specific volume at the pressure and temperature given.
is the inlet area
pressure at the inlet area
temperature at the inlet area
is the outlet area
pressure at the outlet area
temperature at the outlet area
represent the flow of mass
If we look at the first figure attached Table A-13 we see that the specific volume for the inlet condition is
and the entropy is
With the value of entropy and the outlet pressure of 100 Kpa we can find we specific volume at the outlet condition since w ehave the entropy
Since on the table we don't have the exact value we need to interpolate between these two values (see the second figure attached)
Our interest value would be given using interpolation like this:
2) Solution to the problem
Now since we have all the info required to solve the problem we can find the velocities on this way.
We know from the definition of flow of mass that , but since
we have this:
If we solve from the velocity v we have this:
(*)
And now we just need to replace the values into equation (*)
For the inlet case:
For the oulet case:
