Steel Ball Bearing
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 51207 Carbon Steel Axial Ball Thrust Bearing 35x62x18mm  US $11.80
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 Bike Bicycle Bearing Parts 6mm Diameter Steel Ball 78 Pcs US $4.43
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 Replacement Parts 78Pcs 478mm Dia Bike Steel Ball Bearing US $3.62
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 100 Pcs Silver Tone Steel Ball for Bike Bearing Repair US $7.41
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 25x40x59mm Carbon Steel Linear Motion Ball Bearing LM25 US $13.11
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 100 Pcs Bike Replacing Steel Bearing Ball 6mm Diameter US $5.47
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 100 Pcs 6mm Dia Bicycle Replacement Steel Bearing Ball US $9.15
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 Replacement Parts 4mm Diameter 72 PCS Bike Steel Ball Bearing US $3.85
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 Replacement 608RS 8x22x7mm Carbon Steel Ball Bearing US $3.83
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 One 1 7 8 Chrome steel bearing ball US $17.00
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 Bicycle Hub Bearing Replacement Steel Ball 8mm Diameter US $11.74
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 2 Pcs Carbon Steel Linear Motion Ball Bearing 5x10x15mm US $7.57
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 72 Pcs 4mm Diameter Bike Bicyle Steel Ball Bearing Parts US $3.72
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 88 Pcs 8mm Dia Bicycle Bike Parts Bearing Steel Ball US $8.03
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 Replacement Parts 6mm Dia Bike Steel Ball Bearing 74Pcs US $4.01
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 80PCS 5mm Diameter Bike Bicyle Steel Ball Bearing Parts US $3.97
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 One 1 3 4 Chrome steel bearing ball US $14.00
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 4 Stainless Steel Door Hinges Ball Bearing screws x 2 pcs US $3.14
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 One 1 1 4 302 stainless steel bearing ball US $8.50
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 50 Pcs 3 Swivel Caster Rubber Steel Base Ball Bearing DIY Projects Industrial US $96.49
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 One 1 1 2 Carbon steel bearing ball US $7.00
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 Replacement 6mm x19mm x6mm Carbon Steel Ball Bearing US $3.81
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 51105 Carbon Steel Ball Thrust Bearing 25mmx42mmx11mm US $7.07
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 51100 Carbon Steel Ball Thrust Bearing 10mmx24mmx9mm US $5.73
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 One 1 1 2 Inch Chrome Steel Bearing Ball G25 US $10.95
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 Chrome Stainless Steel Deep Groove Ball Bearing 6202Z US $4.64
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 LGB G SCALE BARMER COACHLGB BALL BEARING STEEL WHEELSLED LIGHTING 3060 US $170.99
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Buy Steel Ball Bearing from the items shown under here on this page:
A spherical steel ball bearing has a diameter of 2.54cm at 28°C.Whats the diameter when temp is raised to 100C?
What is the diameter when its temperature is raised to 100°C?
What temperature change is required to increase its volume by 0.8%?
You need to know the coefficient of bulk thermal expansion for this one.
The bulk coefficient (α) is defined by
α Vi = ΔV / ΔT
where Vi is the initial volume of the object, and ΔV, ΔT are the total change in volume and the total change in temp. Another way of writing this is
α Vi = (Vf - Vi) / ΔT .
where Vf is obviously the final volume, which is the only unknown that we have in this problem. So, solving for Vf,
Vf = Vi (α ΔT +1).
The volume of a sphere (in terms of diameter) is
V = (π/6) D^3.
Therefore, substituting into the equation for final volume, you get (a bit messy)
(π/6) Df^3.= (π/6) Di^3 (α ΔT +1).
Obviously, Df and Di are the initial and final diameters. Note the the term (π/6) can be completely divided out. So, all that's needed to solve is to take the cube root of both sides and extract the perfect cubes:
Df = Di cbrt(α ΔT +1).
cbrt( x ) is the cube root function here. You can find the bulk coefficient (α) for steel in this table:
http://en.wikipedia.org/wiki/Coefficient_of_thermal_expansion#Thermal_expansion_coefficients_for_various_materials
I hope I don't need tell you how to find the change in temperature......
NOW, JUST USE THIS FORMULA AND "PLUG & CHUG"!!
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