Difference between revisions of "Template:Classical mechanics SI units"
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(serif font for math symbols) |
imported>Cmglee (Add SI units row and columns) |
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<table class="wikitable" style="text-align:center;line-height:0.9;border-collapse:collapse;margin:auto;border:none;background:none;"> | <table class="wikitable" style="text-align:center;line-height:0.9;border-collapse:collapse;margin:auto;border:none;background:none;"> | ||
<tr> | <tr> | ||
| − | <th colspan=" | + | <th colspan="4">Linear/translational quantities</th> |
| − | < | + | <td rowspan="12" style="border:none;backgound:none;"></td> |
| − | <th colspan=" | + | <th colspan="4">Angular/rotational quantities</th> |
</tr> | </tr> | ||
<tr> | <tr> | ||
| + | <th style="font-weight:normal;font-size:90%;">SI units</th> | ||
| + | <th style="font-weight:normal;">—</th> | ||
| + | <th style="font-weight:normal;">m</th> | ||
| + | <th style="font-weight:normal;">m<sup>2</sup></th> | ||
| + | <th style="font-weight:normal;font-size:90%;">SI units</th> | ||
| + | <th style="font-weight:normal;">—</th> | ||
| + | <th style="font-weight:normal;">—</th> | ||
| + | <th style="font-weight:normal;">—</th> | ||
| + | </tr> | ||
| + | <tr> | ||
| + | <th style="font-weight:normal;">s</th> | ||
<td>[[time]]: {{math|''t''}}<br />s</td> | <td>[[time]]: {{math|''t''}}<br />s</td> | ||
<td></td> | <td></td> | ||
<td></td> | <td></td> | ||
| + | <th style="font-weight:normal;">s</th> | ||
<td>[[time]]: {{math|''t''}}<br />s</td> | <td>[[time]]: {{math|''t''}}<br />s</td> | ||
<td></td> | <td></td> | ||
| Line 19: | Line 31: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
| + | <th style="font-weight:normal;">—</th> | ||
<td></td> | <td></td> | ||
<td>[[Displacement_(vector)|displacement]], [[Position_(vector)|position]]: {{math|'''x'''}}<br />m</td> | <td>[[Displacement_(vector)|displacement]], [[Position_(vector)|position]]: {{math|'''x'''}}<br />m</td> | ||
<td></td> | <td></td> | ||
| + | <th style="font-weight:normal;">—</th> | ||
<td></td> | <td></td> | ||
<td>[[angular displacement]], [[angle]]: {{math|'''θ'''}}<br /><span style="margin-right:0.2em;">rad</span></td> | <td>[[angular displacement]], [[angle]]: {{math|'''θ'''}}<br /><span style="margin-right:0.2em;">rad</span></td> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
| + | <th style="font-weight:normal;">s<sup>-1</sup></th> | ||
<td>[[frequency]]: {{math|''f''}}<br />s<sup>−1</sup>, Hz</td> | <td>[[frequency]]: {{math|''f''}}<br />s<sup>−1</sup>, Hz</td> | ||
<td>[[speed]]: {{math|''v''}}, [[velocity]]: {{math|'''v'''}}<br />m s<sup>−1</sup></td> | <td>[[speed]]: {{math|''v''}}, [[velocity]]: {{math|'''v'''}}<br />m s<sup>−1</sup></td> | ||
<td></td> | <td></td> | ||
| + | <th style="font-weight:normal;">s<sup>-1</sup></th> | ||
<td>[[frequency]]: {{math|''f''}}<br />s<sup>−1</sup>, Hz</td> | <td>[[frequency]]: {{math|''f''}}<br />s<sup>−1</sup>, Hz</td> | ||
<td>[[angular velocity]]: {{math|'''ω'''}}<br /><span style="margin-right:0.2em;">rad</span>s<sup>−1</sup></td> | <td>[[angular velocity]]: {{math|'''ω'''}}<br /><span style="margin-right:0.2em;">rad</span>s<sup>−1</sup></td> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
| + | <th style="font-weight:normal;">s<sup>-2</sup></th> | ||
<td></td> | <td></td> | ||
<td>[[acceleration]]: {{math|'''a'''}}<br />m s<sup>−2</sup></td> | <td>[[acceleration]]: {{math|'''a'''}}<br />m s<sup>−2</sup></td> | ||
<td></td> | <td></td> | ||
| + | <th style="font-weight:normal;">s<sup>-2</sup></th> | ||
<td></td> | <td></td> | ||
<td>[[angular acceleration]]: {{math|'''α'''}}<br /><span style="margin-right:0.2em;">rad</span> s<sup>−2</sup></td> | <td>[[angular acceleration]]: {{math|'''α'''}}<br /><span style="margin-right:0.2em;">rad</span> s<sup>−2</sup></td> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
| + | <th style="font-weight:normal;">s<sup>-3</sup></th> | ||
<td></td> | <td></td> | ||
<td>[[Jerk_(physics)|jerk]]: {{math|'''j'''}}<br />m s<sup>−3</sup></td> | <td>[[Jerk_(physics)|jerk]]: {{math|'''j'''}}<br />m s<sup>−3</sup></td> | ||
<td></td> | <td></td> | ||
| + | <th style="font-weight:normal;">s<sup>-3</sup></th> | ||
<td></td> | <td></td> | ||
<td>[[Jerk_(physics)#Jerk_in_rotation|angular jerk]]: {{math|'''ζ'''}}<br /><span style="margin-right:0.2em;">rad</span> s<sup>−;3</sup></td> | <td>[[Jerk_(physics)#Jerk_in_rotation|angular jerk]]: {{math|'''ζ'''}}<br /><span style="margin-right:0.2em;">rad</span> s<sup>−;3</sup></td> | ||
<td></td> | <td></td> | ||
</tr> | </tr> | ||
| − | <tr style=" | + | <tr> |
| − | + | <td colspan="4" style="padding-top:0;"></td> | |
| − | + | <td colspan="4" style="padding-top:0;"></td> | |
| − | |||
| − | |||
| − | |||
| − | <td></td> | ||
</tr> | </tr> | ||
| − | + | <th style="font-weight:normal;">kg</th> | |
<td>[[mass]]: {{math|''m''}}<br />kg</td> | <td>[[mass]]: {{math|''m''}}<br />kg</td> | ||
<td></td> | <td></td> | ||
<td></td> | <td></td> | ||
| + | <th style="font-weight:normal;">kg m<sup>2</sup></th> | ||
<td>[[moment of inertia]]: {{math|''I''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> <span style="margin-left:0.2em;">rad<sup>−2</sup></span></td> | <td>[[moment of inertia]]: {{math|''I''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> <span style="margin-left:0.2em;">rad<sup>−2</sup></span></td> | ||
<td></td> | <td></td> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
| + | <th style="font-weight:normal;">kg s<sup>-1</sup></th> | ||
<td></td> | <td></td> | ||
<td>[[momentum]]: {{math|'''p'''}}, [[Impulse (physics)|impulse]]: {{math|'''J'''}}<br /><span style="margin-right:0.1em;">kg</span> m s<sup>−1</sup>''', '''N s</td> | <td>[[momentum]]: {{math|'''p'''}}, [[Impulse (physics)|impulse]]: {{math|'''J'''}}<br /><span style="margin-right:0.1em;">kg</span> m s<sup>−1</sup>''', '''N s</td> | ||
<td></td> | <td></td> | ||
| + | <th style="font-weight:normal;">kg m<sup>2</sup> s<sup>-1</sup></th> | ||
<td></td> | <td></td> | ||
<td>[[angular momentum]]: {{math|'''L'''}}, [[List of equations in classical mechanics#Derived dynamic quantities|angular impulse]]: {{math|Δ'''L'''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> s<sup>−1</sup> <span style="margin-left:0.1em;">rad<sup>−1</sup></span></td> | <td>[[angular momentum]]: {{math|'''L'''}}, [[List of equations in classical mechanics#Derived dynamic quantities|angular impulse]]: {{math|Δ'''L'''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> s<sup>−1</sup> <span style="margin-left:0.1em;">rad<sup>−1</sup></span></td> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
| + | <th style="font-weight:normal;">kg s<sup>-2</sup></th> | ||
<td></td> | <td></td> | ||
<td>[[force]]: {{math|'''F'''}}, [[weight]]: {{math|'''F'''<sub>g</sub>}}<br /><span style="margin-right:0.1em;">kg </span> m s<sup>−2</sup>, N</td> | <td>[[force]]: {{math|'''F'''}}, [[weight]]: {{math|'''F'''<sub>g</sub>}}<br /><span style="margin-right:0.1em;">kg </span> m s<sup>−2</sup>, N</td> | ||
<td>[[energy]]: {{math|''E''}}, [[Work_(physics)|work]]: {{math|''W''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> s<sup>−2</sup>, J</td> | <td>[[energy]]: {{math|''E''}}, [[Work_(physics)|work]]: {{math|''W''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> s<sup>−2</sup>, J</td> | ||
| + | <th style="font-weight:normal;">kg m<sup>2</sup> s<sup>-2</sup></th> | ||
<td></td> | <td></td> | ||
<td>[[torque]]: {{math|'''τ'''}}, [[Torque#Terminology|moment]]: {{math|'''M'''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> s<sup>−2</sup> <span style="margin-left:0.1em;">rad<sup>−1</sup></span>, N m</td> | <td>[[torque]]: {{math|'''τ'''}}, [[Torque#Terminology|moment]]: {{math|'''M'''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> s<sup>−2</sup> <span style="margin-left:0.1em;">rad<sup>−1</sup></span>, N m</td> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
| + | <th style="font-weight:normal;">kg s<sup>-3</sup></th> | ||
<td></td> | <td></td> | ||
<td>[[List_of_equations_in_classical_mechanics#Dynamics|yank]]: {{math|'''Y'''}}<br /><span style="margin-right:0.1em;">kg</span> m s<sup>−3</sup>, N s<sup>−1</sup></td> | <td>[[List_of_equations_in_classical_mechanics#Dynamics|yank]]: {{math|'''Y'''}}<br /><span style="margin-right:0.1em;">kg</span> m s<sup>−3</sup>, N s<sup>−1</sup></td> | ||
<td>[[Power_(physics)|power]]: {{math|''P''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> s<sup>−3</sup>, W</td> | <td>[[Power_(physics)|power]]: {{math|''P''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> s<sup>−3</sup>, W</td> | ||
| + | <th style="font-weight:normal;">kg m<sup>2</sup> s<sup>-3</sup></th> | ||
<td></td> | <td></td> | ||
<td>[[rotatum]]: {{math|'''P'''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> s<sup>−3</sup> <span style="margin-left:0.1em;">rad<sup>−1</sup></span></td> | <td>[[rotatum]]: {{math|'''P'''}}<br /><span style="margin-right:0.1em;">kg</span> m<sup>2</sup> s<sup>−3</sup> <span style="margin-left:0.1em;">rad<sup>−1</sup></span></td> | ||