Determine the efficiency of the car engine, which accelerates to a maximum of 100 km / h in 10 seconds

| July 3, 2021 | education

Determine the efficiency of the car engine, which accelerates to a maximum of 100 km / h in 10 seconds, if the mass of the car is 1 ton, the friction coefficient is 0.2. And for 100 km of travel, the car consumes 15 liters of gasoline

Data: V (speed) = 100 km / h (27.78 m / s); t (acceleration time) = 10 s; m (mass) = 1 t (10 ^ 3 kg); μ (coefficient of friction) = 0.2; S (distance) = 100 km (100 * 10 ^ 3 m); Vb (gasoline volume) = 15 liters (15 * 10 ^ -3 m3).

Constants: g = 9.81 m / s2; ρ (gasoline density) = 710 kg / m3; q (beats heat of combustion) = 4.6 * 10 ^ 7 J / kg.

Vehicle efficiency: η = A / Q = F * S / Q = (m * V / t + μ * m * g) * S / (ρ * Vb * q) = (10 ^ 3 * 27.78 / 10 + 0.2 * 10 ^ 3 * 9.81) * 100 * 10 ^ 3 / (710 * 15 * 10 ^ -3 * 4.6 * 10 ^ 7) = 0.9675 (96.75%).



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