Calculating with units, Calculating with dates -1, Converting angular units – HP 48g Graphing Calculator User Manual

Page 125

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Converting Angular Units

Planar and solid angles are associated with actual units. However,
although this distinguishes them from scalars {dimensionless

numbers), the HP 48 allows you to convert between units of angle

and scalars. The conversion will interpret the scalar according to the
current angle mode setting (degrees, radians, or grads).

Unit

Symbol

Definition

Value

Arcmin

Arcsec

Degree

Grad

Radian

Steradian

r" C

\ ‘ \

1 r I

V

21600

unit circle

Vi

296000

unit circle

Vseo unit circle

V

400

unit circle

^

/

2

TT unit circle

^ /

4

TT unit sphere

2.90888208666 x 10'^

r

4.8481368111

X

10-®

r

1.74532925199 x

lO'^ r

1.57079632679 x

lO'^ r

1 r

1 sr

10

Calculating with Units

The HP 48 lets you execute many arithmetic operations with unit

objects, just as you would with real numbers;

■ Addition and subtraction (dimensionally consistent units only)
m Multiplication and division
■ Inversion
■ Raising to a power
■ Percentage calculations (dimensionally consistent units only)
■ Comparisons of values (dimensionally consistent units only)
■ Trigonometric operations (planar angular units only)

Several additional math operations are available, but work only on the

number part of the unit object.

1. Enter the unit objects.

2. Execute the commands.

Units are automatically converted and combined during the
calculation, though certain operations require dimensionally consistent

Unit Objects 10-7

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