COMMON FORMULAS FOR PERIMETER AND AREA
WORKING WITH EQUATIONS AND FORMULAS
SOLVE PROBLEMS USING COMMON FORMULAS
CALCULATING WEIGHTS OF LOADS
WLL
100

WHAT IS FORMULA FOR VOLUME OF A CYLINDER?

V= r2 x H                     r2= radius squared

                                   H= Height

100

SOLVE  5/8=N+1/4

N=5/8-1/4=5/8-2/8 N=3/8

100

CALCULATE THE CIRCUMFERENCE OF A CIRCLE WHERE DIAMETER = 125MM

C=PI x D

C=392.7MM

100

WHAT IS THE WEIGHT OF ONE CUBIC METER OF STEEL?

7850KG

100

IF THE BREAKING STRENGTH OF A 1 IN. DIAMETER WIRE ROPE IS 7000 kg ( 15432 lb), WHAT IS THE WLL FOR LIFTING WORKERS?

ANSWER IN KG AND LBS.

7000 kg divided by 10 = 700 kg

15432 lb divided by 10 = 1543 lb

200

WHAT IS THE FORMULA FOR VOLUME OF A CUBE?

 V= x3                                     V= volume

                                             multiplied x 3 sides.

200

SOLVE  3N = 123

123 divided by 3 

N= 41

200

CALCULATE THE AREA OF A TRIANGLE WHERE B= 100MM AND H=75MM

A= BxH

        2      

A= 3750mm Squared

200

TWO PIECES OF STEEL PLATE MEASURING 38MM X 1352 MM X 3 M WOULD WEIGH...

WEIGHT= .038 m x 1.352 m x 3.0 m x 7850 x 2 

weight= 2420 kg

200

CALCULATE THE WLL OF A BRIDLE HITCH WITH EQUAL LENGTH SLINGS THAT HAVE A WLL RATING OF 2000 kg. 

H = 3 M

L = 4 M

WLL = 2000 x 3 x 2 divided by 4

WLL = 3000 kg
300

WHAT IS THE FORMULA FOR CALCULATING CIRCUMFERENCE OF A CIRCLE?

C= PI X D                              PI= 3.1416

                                               D= diameter

300

SOLVE  X=2[13+(8-5)]

3+13=16X2=32

X=32

300

FIND THE VOLUME OF A SOLID ROUND STOCK THAT HAS A RADIUS OF 6cm AND A HEIGHT OF 12cm.

Pi ( radius squared) x H

3.1416 x 6 squared x 12cm= 1357.1712cm cubic

300

WHAT IS THE WEIGHT OF 3 PIECES OF 3/8 PLATE EACH MEASURING 4' X 8'?

 .375 x 48" x 96" x .283 = 489lbs x 3 plates =1,467lbs

300

CALCULATE THE WLL OF A 3 SLING ARRANGEMENT WITH EACH INDIVIDUAL LEG OF THE SLING HAS A WLL RATING OF 1000 kg.

H = 3.5 m

L = 4 m

WLL= 1000 x 3.5 x 2 divided by 4

WLL = 1750 kg

400

WHAT IS THE FORMULA FOR AREA OF A CIRCLE?

A= PI R SQUARED     PI = 3.1416

                                  r = radius

400

SOLVE  5/9N-13=27

WHAT IS N

N=72

400

DOUBLE

CALCULATE THE AREA OF A TRIANGLE WHERE B=100mm AND H= 75mm

A= BxH DIVIDED BY 2

A= 100x 75 divided by 2 = 3750mm squared.

400

DOUBLE

A PIECE OF STEEL 1 FT SQUARE AND 1/4 IN. THICK WEIGHS ABOUT...

10LBS

400

IF POLYPROPYLENE ROPE HAS A WLL FOR MATERIALS OF 480 LB. WHAT IS ITS WLL FOR LIFTING PERSONNEL?

WLL = 220 x 5 design factor = 2400 = BREAKING STRENGTH DIVIDED BY 10

WLL = 240 LB

500

WHAT IS THE FORMULA FOR AREA OF A TRIANGLE?

A=1/2 BXH                       A= area

           2                            B= base

                                       H= height

                                        divided by 2


       

500

DOUBLE 

SOLVE  N+2(3-1)=8


WHAT IS N?

4+2+2=8

N=4

500

WHAT IS THE VOLUME OF A RECTANGULAR BOX WITH THE FOLLOWING DIMENSIONS: 

H=10"

L=10"

W=20"

L x W x H

2000 inches cubic.

500

WHAT IS THE WEIGHT OF A STEEL PIPE WITH MEASUREMENTS OF.. 10 MM THICK, 250 MM OD AND A LENGTH OF 3.8 M?

C=MD x PI             wt.=T x W x L x 7850 kg            

C=240 x 3.1416     wt.= .010 x .754 x 3.8 x 7850

C=754 MM              wt.=225kg              

500

DOUBLE

A WLL RATING OF A SLING IS 3000 kg. WHAT IS THE STRONGEST WLL YOU COULD GET IF YOU USE IT IN A SINGLE CHOKER HITCH?

WLL x 3/4 = 2250 kg

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