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A circular racetrack of radius 100 m is banked at an angle of 45^(@). Whatis the (i) Optimum speed of race car to avoid wear and tear of its tyres? (ii) Maximum permissible speed to avoid slipping if the coefficient of friction is 0.2? |
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Answer» Solution :At the optimum speed, optimum speed `v_(0)` is given by EQUATION `v_(0)=(Rg tan THETA)^(1//2)` `=(100xx9.8xx tan45)^(1//2)` `=31.3 m//s` The MAXIMUM PERMISSIBLE speed `v_("MAX")` is given by `v_("max")=("Rg"(mu_(s)+tan theta)/(1-mu_(s)tan theta))^(1//2)` `=(100xx9.8xx (0.2+tan45)/(1-0.2 tan45))^(1//2)` `=38.34 m//s` |
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