Solve Imperial to Metric Conversion Error for Roll Bar Rate

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SUMMARY

The discussion focuses on resolving an error in converting roll bar rates from imperial to metric units. The initial imperial equation provided was Angular Rate / (Lever Length² x π / 180) = Roll Bar Rate (in*lbs), yielding an incorrect conversion when compared to the metric equation. A key insight from participant Jas1159 highlights that the conversion from kilograms to Newtons is essential, as well as ensuring unit consistency on both sides of the equation. Additionally, the formula for calculating the roll bar rate for a solid anti-roll bar is presented as 1,125,000 x D⁴ / L x A, where D is the bar's outside diameter, L is the effective bar length, and A is the effective arm length.

PREREQUISITES
  • Understanding of unit conversion between imperial and metric systems
  • Familiarity with basic physics concepts, particularly torque and angular rates
  • Knowledge of roll bar mechanics and their applications in automotive engineering
  • Ability to manipulate algebraic equations and understand dimensional analysis
NEXT STEPS
  • Study the principles of unit conversion in physics, focusing on force and torque
  • Learn about the properties and calculations for solid versus hollow anti-roll bars
  • Explore the application of the formula 1,125,000 x D⁴ / L x A in automotive suspension design
  • Investigate the significance of using Newtons (N) in calculations involving mass and acceleration
USEFUL FOR

Automotive engineers, mechanical engineers, and anyone involved in suspension design or performance tuning who needs to understand roll bar rate calculations and unit conversions.

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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