Fluid Resistance (DP IB Physics)
Revision Note
Fluid Resistance
Fluid resistance refers to the effects of gases and liquids on the motion of a body
When an object moves through a fluid (a gas or a liquid), there are resistive forces for that movement
These forces are known as viscous drag
Viscous drag, also known as air resistance, is a type of friction
Frictional forces:
Always act in the opposite direction to the motion of the object
Never speed an object up or start them moving
Always slow down an object or keep them moving at a constant speed
Always transfer energy away from the object to the surroundings
Lift is an upward force on an object moving through a fluid. It is perpendicular to the fluid flow
For example, as an aeroplane moves through the air, the aeroplane pushes down on the air to change its direction
This causes an equal and opposite reaction as the air pushes upwards on the wings of the aeroplane (lift) due to Newton's Third Law
Drag forces are always in the opposite direction to the thrust (direction of motion). Lift is always in the opposite direction to the weight
A key component of drag forces is that they increase with the speed of the object
This is shown in the diagram below:
Frictional forces on a car increase with speed
Fluid Resistance in Projectile Motion
In projectile motion, the factors that are affected by fluid resistance are:
Time of flight
Horizontal velocity
Horizontal acceleration
Range
Shape of trajectory
Air resistance is the frictional force which has the most significant effect on a projectile
Air resistance decreases the horizontal component of the velocity of a projectile
This means both its range and maximum height will decrease compared to an identical situation with no air resistance (like a vacuum)
A projectile with air resistance travels a smaller distance and has a lower maximum height than one without air resistance
When air resistance is applied, the path of the projectile no longer follows a parabola shape
Its path is now steeper on the way down than it is up
The flight time will also decrease as the projectile is in the air for a shorter period of time
This is due to having a smaller range and lower maximum height
In summary:
Air resistance affects | Effect of air resistance |
---|---|
time of flight | decreases |
horizontal velocity | decreases |
horizontal deceleration | increases |
range | decreases |
shape of trajectory | no longer a parabola |
The angle and launch speed of a projectile can be varied to cover a longer range or reach a greater maximum height, depending on the situation
For sports, such as the long jump or javelin, an optimum angle against air resistance is used to produce the greatest range (distance)
For gymnastics or ski jumper, the initial vertical velocity is made as large as possible to reach a greater maximum height and longer flight path
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