3. (a) A 3200c.c. Spark Ignition (SI) V6 engine operates on a four stroke cycle at 7800RPM. The engine compression ratio is 9.2, the length of the connecting rod is 15.6cm, and the engine has a bore/stroke ratio of 1.7. At this speed, combustion ends at 34° ATDC. Calculate: i Cylinder bore and stroke length. ii Average piston speed iii Clearance volume of one cylinder. (b) The same engine is connected to a dynamometer which gives a brake output torque reading of 175Nm at 7800 RPM. At this speed, air enters the cylinders at 80kPa and 65°C, and the me- chanical efficiency of the engine is 80%. Calculate: i Brake power ii Indicated power iii Brake mean effective pressure iv Indicated mean effective pressure v Friction mean effective pressure Tutt

Consider the figure as shown below. O-XoYoZo is the reference frame and O-X₁Y₁Z₁ is the frame attached to the tool. Sketch the tool position after each intermediate position of the operation of the tool about the reference frame: roll π/2(rotate about Zo), pitch -T/2(rotate about Yo), yaw π/2(rotate about Xo). Please write the final rotation matrix expression. ZI,Zo XI,Xo Yı, Yo

The slotted arm AB drives pin "C" through the spiral groove described by the equation r = = (30) ft, where "0" is in radians. If the arm starts from rest when 0 = 60° and is driven at an angular velocity of 8 = (4t) rad/s, where "t" is in seconds, determine the radial and transverse components of velocity and acceleration of the pin "C" when t = 1 s. B C Ans. a₁ = -134.3 ft/s² Ans. ā= 132.6 ft/s²

Needs Complete typed solution with 100 % accuracy.

Use rotation about the current frame to calculate the transformation matrix for a rotation of 90° about yo axis and then 90° about zo axis.