Processing math: 0%

Thursday, July 26, 2012

Unit 5 - Problem 3 ==> Shock Absorber Period


Given:

  • \mbox{mass of the car} = 2,000  \mbox{kilograms}
  • \mbox{four shock absorbers with four wheels}
  • \mbox{each shock absorber has }  k = 100,000
  • \mbox{gravity}  = 10  

Rationale:

  • T_{period-shock-absorber} = 2 \pi \sqrt\frac{m_{on-shock-absorber}}{k}
  • m_{on-shock-absorber} = \frac{m_{car}}{4}
  • T_{period-shock-absorber} = 2 \pi \sqrt\frac{\frac{m_{car}}{4}}{k} = 2 \pi \sqrt\frac{m_{car}}{4 k}

Calculate:

  • T_{period-shock-absorber} = 2 \pi \sqrt\frac{2,000}{4 * 100,000}
  • T_{period-shock-absorber} = \frac{44}{7} \sqrt{.005} = 6.2857 * .07071 = 0.44

No comments:

Post a Comment