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The Syst ème International

The Syst ème International. SI Units. GEL2006. Time. t. second. s. Length. l. metre. m. Mass. m. kilogram. kg. Temperature. T , Ө. kelvin. K. Electric Current. I. ampere. A. Amount of Substance. n. mole. mol. (not in A Level). candela. cd. Luminous Intensity.

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The Syst ème International

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  1. The Système International SI Units GEL2006

  2. Time t second s Length l metre m Mass m kilogram kg Temperature T , Ө kelvin K Electric Current I ampere A Amount of Substance n mole mol (not in A Level) candela cd Luminous Intensity

  3. density momentum force pressure work (energy) power electrical charge potential difference resistance

  4. Homogenous Equations • Ep = m g h • = • Nm = kg kgms-2kg-1 m • kgms-2 m = kgm2s-2 • kgm2s-2 = kgm2s-2 •  This equation is homogenous J kg Nkg-1 m

  5. Homogenous Equations • v2 = u2 +2ax • = + • m2s-2= m2s-2 + m2s-2 •  This equation is homogenous m2s-2 m2s-2 ms-2 m

  6. Homogenous Equations • F = mv r • = • kgms-2 = kgs-1 •  This equation is not homogenous N kg ms-1 m-1

  7. Homogenous Equations • What is missing? kgms-2 = kgs-1 •  The equation should read: • F = mv2 r ms-1 = v on rhs

  8. Homogenous Equations • Try these: • Ek = ½ m v2 • and v = u + at2 J = kg m2s-2 N m = kg m2s-2 kg m2s-2 = kg m2s-2 OK ms-1 = ms-1 + ms-2 s2 ms-1= ms-1+ m Not OK s-1 is missing, so equation should read: V = u + at

  9. Homogenous Equations Homework: Show that these equations are homogenous a) x = ut + ½at2 b) T = 2π√l/g c) v = fλ d) I = nAve e) W = ½CV2 What is missing here? f) F = mv - mu

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