Using and Converting Units

Rating - 3/5
473 views

We use equations to express relationships among physical quantities, represented by algebraic symbols. Each algebraic symbol always denotes both a number and a unit. For example, d might represent a distance of 10 m, t a time of 5 s, and v a speed of 2 m>s.
An equation must always be dimensionally consistent. You can’t add apples and automobiles; two terms may be added or equated only if they have the same units. For example, if a body moving with constant speed v travels a distance d in a time t, these quantities are related by the equation

These Topics Are Also In Your Syllabus
1 Types of Operating Systems - Batch operating system, Time-sharing systems, Distributed OS, Network OS, Real Time OS link
2 solving rigid-body equilibrium problems link
You May Find Something Very Interesting Here. link
3 SOLVED EXAMPLES ON EQUILIBRIUM link
4 stress, strain, and elastic moduLi link

d = vt

These Topics Are Also In Your Syllabus
1 Types of Operating Systems - Batch operating system, Time-sharing systems, Distributed OS, Network OS, Real Time OS link
2 Pressure in a fLuid link
You May Find Something Very Interesting Here. link
3 pressure, depth, and pascals Law link

If d is measured in meters, then the product vt must also be expressed in meters. Using the above numbers as an example, we may write

These Topics Are Also In Your Syllabus
1 Types of Operating Systems - Batch operating system, Time-sharing systems, Distributed OS, Network OS, Real Time OS link
2 Interpreting E, K, and U in SHM link
You May Find Something Very Interesting Here. link
3 Solved examples on SHM link
4 Applications of simple Harmonic motion link

10 m = (2 m/s)(5s)

These Topics Are Also In Your Syllabus
1 Types of Operating Systems - Batch operating system, Time-sharing systems, Distributed OS, Network OS, Real Time OS link
2 Period and amplitude in SHM link
You May Find Something Very Interesting Here. link
3 Displacement, velocity, and acceleration in SHM link
4 Energy in simple Harmonic motion link

Because the unit s in the denominator of m>s cancels, the product has units of meters, as it must. In calculations, units are treated just like algebraic symbol with respect to multiplication and division.

These Topics Are Also In Your Syllabus
1 Types of Operating Systems - Batch operating system, Time-sharing systems, Distributed OS, Network OS, Real Time OS link
You May Find Something Very Interesting Here. link
3 A visit to a Black hole link