For introduction to programming the PCalc iOS app, please click on this link:

http://edspi31415.blogspot.com/2014/05/pcalc-programming-introduction.html

PCalc:

Degrees Minutes Seconds to Decimal Degrees (DMS > D)

Converts DD.MMSSsssss to DD.dddddddddddd

D: Degrees

M: Minutes

S: Seconds

Example:

Input: 45.1535 (45° 15' 35")

Output: 45.2597222222 (≈ 45.25972°)

Program:

Decimal Mode

Set R0 To X

Truncate X

Set R1 To R0

Subtract X From R1

Multiply R1 By 100

Set R2 To R1

Truncate R1

Subtract R1 From R2

Divide R2 By 60

Multiply R2 By 100

Add R1 To R2

Divide R2 By 60

Add R2 To X

Decimal Degrees to Degrees Minutes Seconds (D > DMS)

Converts DD.ddddddd to DD.MMSSsssss where

D: Degrees

M: Minutes

S: Seconds

Example:

Input: 6.375 (6.375°)

Output: 6.2230 (6°22'30")

Decimal Mode

Set R0 To X

Truncate X

Set R1 To R0

Subtract X From R1

Multiply R1 By 60

Set R2 To R1

Truncate R1

Multiply R1 By 0.01

Add R1 To X

Set R3 To R2

Truncate R3

Subtract R3 From R2

Multiply R2 By 0.006

Add R2 To X

Stopping Sight Distance (in feet)

Input:

Y: design vehicle speed (miles per hour)

X: grade (in percentage)

Output:

X: Stopping sight distance in feet

Standard constants are used: deceleration of the car is assumed to be 11.2 ft/s^2.

Example:

Input:

Y: 45 mph

X: 2 (2% grade)

Output:

X: 249.8576858108 (feet)

Decimal Mode

Set R0 To 22/15

Multiply R0 By Y

Multiply X By 0.32

Add 11.2 To X

Invert X

Multiply X By 1.075

Y To Power of 2

Multiply X By Y

Add R0 To X

Perfect Trajectory (Projectile Motion without Air Resistance starting from point (0,0))

Input:

Y: Velocity in meters/second

X: Angle in Degrees

Output:

Y: Maximum Height in meters

X: Range of Projectile in meters

Example:

Input: Y: 30, X: 30

Output (to 4 decimal places): Y: 11.4718, X: 79.4790

Program:

Decimal Mode

Degrees Mode

Set R1 To 19.6133

Invert R1

Set R0 To X

Sine R0

R0 To The Power of 2

Multiply R1 By R0

Set R0 To Y

R0 To The Power of 2

Multiply R1 By R0

Set R2 To 9.80665

Invert R2

Set R0 To X

Multiply R0 By 2

Sine R0

Multiply R2 By R0

Set R0 To Y

R0 To The Power of 2

Multiply R2 By R0

Set X To R2

Set Y To R1

Eddie

This blog is property of Edward Shore. 2014

A blog is that is all about mathematics and calculators, two of my passions in life.

## Sunday, May 4, 2014

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