For an inline slider-crank mechanism, the length of the

For an inline slider-crank mechanism, the length of the crank and connecting rod are 3 m and 4 m, respectively. At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is 1 m/s, the magnitude of angular velocity (upto 3 decimal points accuracy) of the crank is ______ radian/s.

1. 2.967 radian/second
2. 2.57 radian/second
3. 0.267 radian/second
4. 1.257 radian/second

Here, tanθ =	Perpendicular
	Hypotenuse

tanθ =	4
	3

⇒ θ = 53.13
φ = 90 – θ = 36.87

Cosφ =	3
	I₁₂ - I₂₄

Cos36.87 =	3
	I₁₂ - I₂₄

I₁₂ - I₂₄ = 3.75
V_I₂₄ = velocity of slider
= ω₂ (I₁₂ - I₂₄)
I = ω₂ × 3.75
ω₂ = 0.267 radian/second