math

posted by .

The distance from TDC (top dead centre) for the pin is given by x when the crank is
at angle . Hence :
i) Give an equation for x in terms of the other variables (r, L and ).

ii) If the crank rod is rotating at a constant value of ω calculate the speed of the
piston
i.e. calculate
dt
dx
in terms of ω, r,  and L
iii) Hence calculate the x value when the speed of the piston is at a maximum.

iv) If L is 1 metre, r is 0.25 metres and the crank is rotating at 5,000 rpm
calculate the maximum velocity of the piston in m/s.

  • math -

    What pin?
    What crank?

    What are x? r? L?

    My clairvoyant detector is not working very well today.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Maths

    The distance from TDC (top dead centre) for the pin is given by x when the crank is at angle . Hence : i) Give an equation for x in terms of the other variables (r, L and ). ii) If the crank rod is rotating at a constant …
  2. Physics

    Please guide me in the right direction, am so confused with this problem. A pendulum of length L is caused to swing by releasing it at an initial angle theta0 from the vertical. Because of air drag and friction in the mounting, …
  3. Maths

    A perfectly cylindrical container standing upright with a top and bottom(an oil drum or coke can for example) of area A has an empty mass of M and a height of H. It is filled with a liquid of uniform density(p)up to the height of h. …
  4. physics

    The ability to hear a "pin drop" is the sign of sensitive hearing. Suppose a 0.50 g pin is dropped from a height of 27 cm, and that the pin emits sound for 1.4 s when it lands. Assuming all of the mechanical energy of the pin is converted …
  5. physics

    The ability to hear a "pin drop" is the sign of sensitive hearing. Suppose a 0.40 pin is dropped from a height of 30 , and that the pin emits sound for 1.4 when it lands. Assuming all of the mechanical energy of the pin is converted …
  6. trig

    Prove sin 1 cos  1 cos sin  0 1. Show each step of your proof. 2. Provide written justification for each step of your proof. C. If you use sources, include all in-text …
  7. precal

    Prove sin 1 cos  1 cos sin  0 1. Show each step of your proof. 2. Provide written justification for each step of your proof. C. If you use sources, include all in-text …
  8. Physics

    A block of mass 3.00 kg is pushed up against a wall by a force P that makes an angle of  = 30.0° angle with the horizontal as shown below. The coefficient of static friction between the block and the wall is 0.25. (a) Determine …
  9. Dynamics of Rigid Bodies

    A body of mass “m” has an initial velocity “v0” directed up a plane that is at an inclination angle  to the horizontal. The coefficient of sliding friction between the mass and the plane is μ. What distance “s” …
  10. Maths

    the angles of of evolution of the top of a hill from the City centres of two towns on either side of the hill are observed to be 30° and 60° respectively. if the distance of hill of the top from the city centre of first is 9 …

More Similar Questions