Difference between revisions of "Period"
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| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:center;" |A [[wave]] has a [[frequency]] of 0.2Hz. Calculate how long it takes for one [[wave]] to pass a point. |
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:center;" |The E-string on a bass guitar is plucked to produce a [[sound]] with a [[frequency]] of 40Hz. Calculate the time it takes for the E-string to make one full [[oscillation]]. |
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| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities''' |
f = 0.2Hz | f = 0.2Hz | ||
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities''' |
f = 40Hz | f = 40Hz | ||
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| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].''' |
<math>T = \frac{1}{0.2}</math> | <math>T = \frac{1}{0.2}</math> | ||
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<math>T = 5s</math> | <math>T = 5s</math> | ||
| − | | style="height:20px; width: | + | | style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].''' |
<math>T = \frac{1}{40}</math> | <math>T = \frac{1}{40}</math> | ||
Revision as of 13:24, 18 February 2019
Contents
Key Stage 3
Meaning
A period is the time taken for one complete wave to pass a point.
Key Stage 4
Meaning
A period is the time taken for a single oscillation to occur.
About Periods
- Period may refer to the time taken for an oscillating object such as a pendulum or mass on a spring to make one full oscillation.
- Period may refer to the time taken for one wave to pass a point.
Equation
NB: You do not need to remember this equation but you should be able to find the period of a wave using the frequency.
Period = 1/(Frequency)
\(T = \frac{1}{f}\)
Where:
f = Frequency
T = time period (the time it takes for one wave to pass a point).
Example Calculations
| A wave has a frequency of 0.2Hz. Calculate how long it takes for one wave to pass a point. | The E-string on a bass guitar is plucked to produce a sound with a frequency of 40Hz. Calculate the time it takes for the E-string to make one full oscillation. |
| 1. State the known quantities
f = 0.2Hz |
1. State the known quantities
f = 40Hz |
| 2. Substitute the numbers into the equation and solve.
\(T = \frac{1}{0.2}\) \(T = 5s\) |
2. Substitute the numbers into the equation and solve.
\(T = \frac{1}{40}\) \(T = 0.025s\) |