In kilometres per hour: speed = 240 km / 3 hr = 80 km/hr
In metres per second: speed = 240 000 m / 10 800 s = 22.2 m/s
Average speed is different from instantaneous speed.
| Decimal | Binary | |||||
|---|---|---|---|---|---|---|
| Hundreds | Tens | Units | Eights | Fours | Twos | Units |
| 100s | 10s | 1s | 8s | 4s | 2s | 1s |
| 1 | 2 | 1 | 1 | 0 | 0 | |
You should notice that each column (or place) in decimal is ten times the value of the previous one, whereas in binary, each column is only twice the value of the previous one. Also in decimal, you can have any digit from 0 up to 9 in any of the columns, whereas in binary, you can have either a zero or a one in any of the columns. In the example given, you can see that 12 in decimal is the same as 1100 in binary.
See also: Dose Equivalent.
A wet double insulated appliance is exceptionally dangerous - water is a good conductor of electricity and will easily reach the live electrical components within the case. Any human user touching the casing will then receive an electric shock. It is important to note that the human conductivity is increased when hands are wet, allowing a greater current to flow through the casualty.
For this reason, do not operate a mains radio, hairdryer or double insulated appliance in any wet area - especially a bathroom
Do not touch any person who has been electrocuted until you are sure that the electricity supply has been shut off.
Note that some devices are double insulated and have no earth. These devices must not be used near water or steam
Do not touch any person who has been electrocuted until you are sure that the electricity supply has been shut off.
This is a very similar effect to the movement of a current carrying wire in a magnetic field: a non-magnetisable copper wire placed in a magnetic field can be made to move if a current is passed through it. If either the direction of the magnetic field or the direction of the current is reversed, then the movement will be in the opposite direction.
Beams of electrons are used in TV sets where they are called cathode rays. See also b (beta) radiation.
Common eye conditions are long(presbyopia)- and short(myopia)- sightedness.
Note that filament lamps produce both light and unwanted heat. As such they are less efficient than fluorescent tubes
Note that fluorescent lamps are more efficient than filament lamps as they waste less energy as heat.
The frequency of a wave is the number of complete wavelengths which pass any point in one second. The SI unit of frequency is the hertz (Hz) (equivalent to 'per second' or s-1).
The concept of wave period is closely related to frequency.
See also: cycle.
The fuse (and switch) should always be connected to the live wire in a plug.
The fuse (and switch) should always be connected to the live wire in a plug.
For the purposes of treating cancer, medical gamma rays from cobalt-60 are used.
Ep = mgh
Ep is the potential energy
m is the mass in kilograms
g is the strength of the gravitational field (10ms-2 on Earth)
h is the height through which the object is lifted
E = P t
1 kWh = 1 000 Js-1 x 3 600 s
1 kWh = 3 600 000 J = 3.6 MJ
kWh is a unit of electrical energy and NOT power!
Ek=0.5 * mv2
where, Ek is the kinetic energy in joules
m is the mass of the object in kilograms
v is the velocity of the object in metres per second.
When matter changes phase, energy must be given out or taken in. Change of phase takes place at constant temperature. For example, if a bunsen is used to bring 100ml of water to the boil, it is easy to understand that the heat energy from the bunsen increases the heat energy of the water - because the water gets hotter. During boiling however, the temperature of the water does not increase. The energy from the bunsen no longer causes an increase in temperature, but is now carried away in the steam. The energy is used to break the bonds between the water molecules instead of increasing the temperature. (Remember: heat and temperature are different concepts!)
When in low intensity illumination (dark!), the resistance of an LDR is high.
When in bright illumination, the resistance of an LDR is low.
It is easy to work out how far a light-year is as follows:
distance = speed x time
1 ly = 3 x 10 8 x 365x24x60x60 metres
1 ly = 9.46 x 10 15 metres
To appreciate the scale of this unit, recall that the distance from the Earth to the Sun is 1.5 x 10 8 metres. This is about 8 light-minutes. The distance to the next-nearest star (Proxima Centauri) is about 4 ly!Disadvantages of the MCB are as follows:
The Australian government's website has more information on RCDs, useful for background
A simple motor, which can run on d.c. electricity, has a rotor coil and permanent field magnets. As the rotor coil spins, the direction of the current flowing in the coil is reversed by means of a split-ring commutator. Carbon brushes allow the commutator to slide whilst maintaining an electrical connection. Carbon brushes are used as carbon is a good conductor and is hard-wearing.
In commercial motors, the permanent field magnets are replaced with electromagnets called field coils. This allows a more powerful magnetic field to be created than would be possible using permanent magnets. Also, the single rotor coil of the simple motor is replaced by a number of rotor coils (called a multi-coil or armature) and a segmented commutator replaces the split ring commutator. Each coil of the armature is connected to a pair of contacts in the segmented commutator. This allows for a smoother rotation of the motor. Note that in a commercial motor, because the magnetic field is produced by electromagnets, the motor will work equally well with a.c. or d.c. electricity. This is because a reverse current in the field coil will coincide with a reversal in the armature current. Therefore the armature will be forced round in the same direction.
F = ma
F is the force in newtons, m is the mass in kilograms and a is the acceleration in ms-2
V = I R
| A | B | Z |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
From this it is easy to see that the output is on if at least one of the inputs is on.
In astronomy, the light and other electromagnetic radiation from stars has come from such a great distance that the starlight does effectively form a parallel beam travelling down the tube of a telescope.
Vsupply = V1 = V2 = V3 = ...
Isupply = I1 + I2 + I3 + ...
1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...
Note that the calculation for total resistance in parallel circuits requires an extra step to get the final answer. Here is an example calculation for a 30 ohm and a 40 ohm resistor connected in parallel:
1/Rtotal = 1/R1 + 1/R2
1/Rtotal = 1/40 + 1/30
1/Rtotal = 3/120 + 4/120 (change to common denominator)
1/Rtotal = 7/120
Rtotal/1 = 120/7 (extra step)
Rtotal = 17.14 W (remember the unit)
Calculators with a reciprocal button can make these calculations easier. See also: Series circuits
|
Name
|
Approximate Distance from Sun
compared with Earth's Distance |
Time taken to
orbit the Sun |
Length of the planet's
"day" |
Mass/ mass of Earth
|
Radius / radius of Earth
|
| Mercury | 0.4 | 88 Earth days | 58.6 Earth days | 0.055 | 0.382 |
| Venus | 0.7 | 226 Earth days | 243 Earth days | 0.815 | 0.949 |
| Earth | 1.0 | 1 Earth year | 23.9 hours | 1.000 | 1.000 |
| Mars | 1.5 | 1.9 Earth years | 24.6 hours | 0.107 | 0.533 |
| Jupiter | 5.2 | 11.9 Earth years | 9.93 hours | 318 | 11.2 |
| Saturn | 9.5 | 29.5 Earth years | 10.7 hours | 95.2 | 9.45 |
| Uranus | 19.2 | 84.0 Earth years | 23.9 hours | 14.6 | 4.1 |
| Neptune | 30.1 | 165.0 Earth years | 17.8 hours | 17.2 | 3.9 |
Mercury, Venus, Earth and Mars are called 'inner planets'. Jupiter, Saturn, Uranus and Neptune are 'outer planets'.
Green/Yellow insulated core to the earth terminal (top)
Brown insulated core to the live terminal. The live terminal can be identified by the fuse. The fuse and the switch should always be connected to live as it is the live which supplies electrical energy to the device. If the fuse and switch were connected to neutral, the appliance could appear to be off, yet still be connected to live.
Blue insulated core to the neutral terminal.
The formula which relates power (P), energy (E) and time (t) is:
E = P x t
In electrical applications, there are other equations for power, which involve current, voltage and resistance. They are:
P = I V
P = I2R
P = V2 / R
P = 1 / f
Red + Green = Yellow
Red + Blue = Magenta (pink)
Green + Blue = Cyan (Turquoise)
If all three colours are mixed together, white light can be obtained.
Note that these are the primary and secondary colours of light. The primary and secondary colours of pigment (paint) are not the same.
Considering each nucleus on its own, radioactive decay is a random process. There is no way of knowing when a particular nucleus will decay - it may decay within the next millionth of a second, or it may not decay for another billion years! This isn't a measurement problem - the information just doesn't exist.
However, when you take a very large number of nuclei, the number of nuclei decaying (i.e. the activity) becomes predictable. Once a nucleus has decayed and given out radiation, the remains of the nucleus will still be in whatever material it started in. However that nucleus will not be able to decay in the same way again. (You can only smash a cup once, but you can go back over and stamp on all the bits again!) This means that the level of activity will gradually drop away over time as the nuclei all decay. For some elements, the activity will drop away to background very rapidly, for other elements activity drops more slowly. Half-life is a measure of how quickly the activity level drops.
The angle of incidence is equal to the angle of reflection.
Vsupply = V1 + V2 + V3 + ...
Isupply = I1 = I2 = I3 = ...
Rtotal = R1 + R2 + R3 + ...
The mnemonic VISA may help to remember the rules for voltage and current in series and parallel circuits:
VISA: Voltages In Series Add
More information is available from the University of Alberta, CA or the University of Exeter, UK.
The simple formula for movement at constant speed is: distance = speed x time.
For waves, the formula v = f l can be used.
When subjected to low temperatures, the resistance of a thermistor is high.
When subjected to a high temperature, the resistance of a thermistor is low.
Total internal reflection occurs only when the angle of incidence is above a certain value called the critical angle.
| A | B | C | Z |
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 0 |
It is wrong to say: "The voltage flows into the lamp". Voltage does not flow. It is current that flows. A difference in voltage between the terminals of a lamp causes current to flow through the lamp. (An analogy for voltage is the difference in heights between two points on a hillside. This difference in heights (voltage) causes water to flow downhill (electrical current). One would not speak of height flowing into a water-mill!).
Voltage, current and resistance are related through Ohm's Law
Problem: Given resistors of 100R and 200R, connected in series, calculate the voltage division when connected to a 12V power supply.
Solution: 100:200 is equivalent to 1:2, so split the 12V supply voltage into 1+2=3 parts. Hence 1 part = 12/3 = 4 V and then 2 parts = 8 V. Do a quick check to see that 4+8=12V and then the answer can be given: the 100R resistor has a p.d. across it of 4V, the 200R p.d. is 8V.
See also: cycle.
Work Done = Force x Distance
The SI unit of work is the same as that of energy - the joule
The force only does work when it is at least partially aligned with the direction of movement. If the force acts at right angles to the direction of movement, then that force does no work. Work done can be used to calculate energy transferred. For example, if a box is pushed for 20 m with a force of 30 N, the pushing force does 600 J of work on the box (Work = 30 x 20 = 600 J). This work will either make the box accelerate or heat up due to friction (or both) - i.e. it will cause an increase in the kinetic energy of the box, or the heat energy within the box.
Note from the equation W = F d, the unit of one joule is equivalent to one newton.metre (1 J = 1 Nm)
X-rays are produced in an X-ray tube (soft X-rays for diagnosis) or in a linear accelerator (hard X-rays for treatment).
X-rays can be detected using photographic film or scintillation counters.
In medicine, 'soft' X-rays can be used to take photographs of broken bones. Bone absorbs X-rays more than soft flesh and therefore shows up white on a photographic plate. A break in the bone will show up dark. (X-rays blacken the photographic chemicals on the film).
Alternatively, scintillation counters can be used to detect x-rays and display an image on a TV type screen. This method is used with barium meals for investigating the gut.
For a three dimensional view, computed tomography can be used where the X-ray source and detector rotate around the patient to build up a series of image slices.
Accuracy An accurate measurement is one which is close to the true value.
Calibration This involves fixing known points and then marking a scale on a
measuring instrument, between these fixed points.
Data This refers to a collection of measurements.
For example: Data can be collected for the volume of a gas or the type of rubber.
Datum The singular of data.
Errors,
- random
- systematic
- zero
These cause readings to be different from the true value. Random
errors may be detected and compensated for by taking a large number
of readings.
For example: Random errors may be caused by human error, a faulty technique
in taking the measurements, or by faulty equipment.
These cause readings to be spread about some value other than the
true value; in other words, all the readings are shifted one way or the
other way from the true value.
For example: A systematic error occurs when using a wrongly calibrated
instrument.
These are a type of systematic error. They are caused by measuring
instruments that have a false zero.
For example: A zero error occurs when the needle on an ammeter fails to return
to zero when no current flows, or when a top-pan balance shows a reading when
there is nothing placed on the pan.
Evidence This comprises data which have been subjected to some form of
validation. It is possible to give a measure of importance to data
which has been validated when coming to an overall judgement.
Fair test A fair test is one in which only the independent variable has been
allowed to affect the dependent variable.
For example: A fair test can usually be achieved by keeping all other variables
constant.
Precision The precision of a measurement is determined by the limits of the
scale on the instrument being used. Precision is related to the
smallest scale division on the measuring instrument that you are using.
It may be the case that a set of precise measurements has very little
spread about the mean value.
For example, using a ruler with a millimetre scale on it to measure the thickness
of
a book will give greater precision than using a ruler that is only marked in
centimetres.
Reliability The results of an investigation may be considered reliable if the
results
can be repeated. If someone else can carry out your investigation and
get the same results, then your results are more likely to be reliable.
One way of checking reliability is to compare your results with those
of others. The reliability of data can be improved by carrying out
repeat measurements and calculating a mean.
True Value This is the accurate value which would be found if the quantity could
be measured without any errors at all.