Solve Imperial to Metric Conversion Error for Roll Bar Rate

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The discussion centers on an error encountered while converting an equation from imperial to metric units for calculating roll bar rates. The original imperial equation yields a roll bar rate of 88.24 in*lbs, while the metric conversion results in an incorrect value of 1618.035 m*kg, which converts to 140439.1994 in*lbs. A participant points out that the conversion should use Newtons (N) instead of kilograms (kg) and highlights a mismatch in unit consistency within the equations. Additionally, a formula for calculating the roll bar rate for a solid anti-roll bar is provided, emphasizing the importance of using correct parameters. Accurate unit conversion and consistent equations are crucial for resolving the conversion error.
Jas1159
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I have an equation taken from a book that when converting from imperial to metric gives me the complete wrong answer when converting back afterwards... it seems simple but I am obviously missing a trick, can anybody help?

Imperial Equation
Angular Rate / (Lever Length2 x pi /180) = Roll Bar Rate (in*lbs)
75.46in*lb / (7in^2 * pi / 180) = 88.24 (in*lbs)

Metric Equation
0.892m*kg / (0.178m^2 * pi / 180) = 1618.035 (m*kg)

Converting 1618.035m*kg to in*lbs gives 140439.1994in*lbs
 
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Jas1159: lbf should be converted to Newton (N), not kg. Try again. Also, the units on the left-hand side of your equation do not match the units on the right-hand side of your equation, thus indicating a mistake.
 
is the ARB solid or hollow?
formula for solid Anti Roll Bar , sway bar , stabilizer is -
1,125,000 x D⁴ / L x A
where D = bar outside diameter, L= effective bar length A+ effective arm length
 

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