Formula for acceleration of the piston - Theory of Machines - 1

Q.  In IC engine mechanism, which formula is used to calculate acceleration of the piston?
- Published on 06 Aug 15

a. ω2 r (cos θ + cos θ / n)
b. ω2 r (cos θ + cos 2θ / n)
c. ω2 r (cos θ - cos θ / n)
d. ω2 r (cos θ - cos 2θ / n)

ANSWER: ω2 r (cos θ + cos 2θ / n)
 

    Discussion

  • Sravanthi   -Posted on 21 Oct 15
    ω2 r (cos θ + cos 2θ / n) is the formula to calculate angular acceleration of the piston in IC engines.

    Rate of change of velocity with respect to time is called as acceleration.

    Velocity (Vp) = ω r [sin θ + (sin 2θ / 2√n2 – sin2 θ)]

    Acceleration (Ap) = d Vp / dt

    Acceleration (Ap) = d {ω r [sin θ + (sin 2θ / 2√n2 – sin2 θ)]} / dt

    = ω2 r (cos θ + cos 2θ / n)

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