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If the vehicle is running on the road having 10% gradient at a constant speed, then on flat road it will accelerate at approximately 1 m/s2 (All the parameters remain the same).(a) True(b) FalseI got this question in an international level competition.The origin of the question is Vehicles and Powertrain topic in portion Emission Control Methods, Electric & Conventional Vehicles of Automobile Engineering

Answer»

The CORRECT answer is (a) True

The EXPLANATION is: F net = FTRACTION – Frolling – Faerodynamic – Fgradient. In CASE 1: Due to constant speed ⇒ avehicle = 0 ⇒ Fnet = 0 N and Ftraction = Frolling + Faerodynamic + F gradient. In case 2: Due to flat road, Fgradient = 0 N and Fnet = Ftraction – Frolling – Faerodynamic. As all parameter remain the same ⇒ Ftraction will be the same. Therefore Fnet = Fgradient. Fnet = mvehicle * avehicle = mvehicle * g * sin (α) = Fgrad. For small values, sin (α) = α. Therefore avehicle = g * α = 9.81 * 0.1 = 0.981 m/s^2 which is APPROXIMATELY 1 m/s^2.


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