Forces In Action 3.2 Flashcards
Define the centre of mass of an object.
An imaginary point of an object where the entire mass of the object appears to act.
Or
An imaginary point of an object through which any externally applied force produces a straight line motion but no rotation.
The centre of gravity.
The centre of gravity coincides with the centre of mass on Earth.
What are the factors that affect drag of an object in a fluid?
Speed of the object, cross sectional area of the object, the object’s shape and texture, and the density of the fluid
What is meant by when an object reaches terminal velocity?
When the drag force of the object is equal and opposite to its weight, meaning that acceleration is 0 m/s/s and, thus, at constant speed.
Describe the motion of a free falling object.
During a vertical fall through air or another fluid, the weight of the object remains constant, but the drag force increases as the speed increases.
At the instance an object starts to fall there is no drag force on the object. The total force is equal to the weight and the acceleration of the object is g, the acceleration of free fall.
As the objects falls, the speed increases, in turn increasing the magnitude of the opposing drag force. The resultant net force of the object decreases and the instantaneous acceleration of the object becomes less than g. (a= (mg - D) /m and F = mg - D).
Eventually, the object will reach terminal velocity, when the drag force on the object is equal to its weight. At terminal velocity, the object has 0 acceleration and constant speed.
What is the moment of a force ?
The moment of a force is the turning effect of a force about some axis or point.
What are the conditions that establish if a body is in equilibrium or not?
The net force acting on the body is 0 and the net moment is also 0.
Define the principle of moments.
For a body in rotational equilibrium the sum of the clockwise moments about any point is equal to the sum of the anticlockwise moments about the same point.
Define a couple.
Two equal and opposite parallel forces that act on an object through different lines of action. It has the effect of causing rotation with no translation
Define a torque.
A torque is the moment of a couple and it is calculated by multiplying one of the forces by the perpendicular distance between them.
Define pressure.
Pressure is the normal force exerted per unit cross sectional area
What is the second formula for pressure of a fluid ?
p=hpg
Derive the formula p=hpg
p=F/A
F=W=mg
m=pV
V=Ah
F=pAhg
p=pAhg/A=hpg
Define archimedes principle.
The upthrust exerted on a body immersed in a fluid, whether partially or fully submerged, is equal to the weight of the fluid that the body displaces.
The formula to calculate the upthrust of an object submerged partially or fully in a fluid ?
upthrust = Axpg
Derive the formula upthrust=Axpg from the formula p=hpg
The pressure in the upper surface is hpg, thus,
The force experienced is hpgA,
The pressure in the lower surface is (h+x)pg, thus,
The force experienced is (h+x)pgA.
The difference between forces = weight displaced = upthrust for bodies in equilibrium.
upthrust=(h+x)pgA - hpgA = Axpg
the final speed v of an object is
v=√2gh
Drag is proportional to…
the square of the speed, and it also increases as the cross-sectional area increases.
Describe an experiment to determine terminal velocity of a ball in viscous fluid.
The terminal velocity of a ball bearing in viscous fluid can be determined experimentally.
Take a cylinder and fill it with a viscous liquid.
Hold a ball bearing over the surface of the liquid, and then release it from rest.
At the same time, start a timer, and mark the position of the ball bearing within the tube.
When the ball bearing reaches terminal velocity, the distance it has travelled between each time interval will be the same, and so its velocity can be determined.
What can you do to increase the accuracy of an experiment to determine terminal velocity of a ball in viscous fluid?
To increase the accuracy of this experiment, set up a pulley system over the tube of fluid, with the ball bearing attached on one end.
On the other end, attach a strip of tape passing through a ticker timer.
The ticker timer will produce 50 dots per second on the tape, which will travel at the same speed as the ball bearing.
The distance between dots and the time can then be used to determine terminal velocity.
Friction
the force that arises when two surfaces rub against each other.
Weight
the gravitational force acting on an object, through its center of mass.
Drag
the resistive force on an object travelling through a fluid (e.g. water or air).
Tension
the force within a stretched cable or rope.
