Question

Suppose the road gradient is G = 10%. What is the corresponding angle (approximate value in radians)?

(a) 5 rad

(b) 0.1 rad

(c) 1 rad

(d) 10 rad

I have been asked this question during an online interview.

This interesting question is from Vehicles and Powertrain in division Emission Control Methods, Electric & Conventional Vehicles of Automobile Engineering

Answer 1

Right choice is (b) 0.1 rad

Explanation: G = tan (α). For small angles α, tan (α) = α. Hence α = 10% = 0.1 rad. The corresponding angle for road gradient G = 10% is 0.1 rad.