Below is a calculation,
Why does r2 = 0.000 031
I'm unable to work this out!?
Please explain...
1 Calculate the force that the cable will need to support
We are told that F = m * g and that m is 1200kg and g is 10msˉ²
Therefore F = 1200 * 10 = 12,000 N
2 Allow for the safety factor
The designer wants the cable to support eight times the expected load so multiply the actual load by eight. So the cable must be able to support 12,000 * 8 = 96,000 N
3 Calculate Steel area
The steel will support 1000 MN per square metre.
96,000N is 0.096 MN so we would need 0.000096 square metres of steel to support it
4 Calculate Cable diameter
The cable is round so the cross section area is given by Area = πr²
So 0.000096 = π r²
That means r² = 0.000 031 and r = 0.005 568m
The diameter is twice the radius so that is 0.011136m
That's in metres in milimetres it would be 11.136 mm
Why does r2 = 0.000 031
I'm unable to work this out!?
Please explain...
1 Calculate the force that the cable will need to support
We are told that F = m * g and that m is 1200kg and g is 10msˉ²
Therefore F = 1200 * 10 = 12,000 N
2 Allow for the safety factor
The designer wants the cable to support eight times the expected load so multiply the actual load by eight. So the cable must be able to support 12,000 * 8 = 96,000 N
3 Calculate Steel area
The steel will support 1000 MN per square metre.
96,000N is 0.096 MN so we would need 0.000096 square metres of steel to support it
4 Calculate Cable diameter
The cable is round so the cross section area is given by Area = πr²
So 0.000096 = π r²
That means r² = 0.000 031 and r = 0.005 568m
The diameter is twice the radius so that is 0.011136m
That's in metres in milimetres it would be 11.136 mm
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0.000096 = pi r^2
r^2 = 0.000096 / pi
r^2 = 0.000030557 rounds to 0.000031
r^2 = 0.000096 / pi
r^2 = 0.000030557 rounds to 0.000031