Question

lo TO 1o TIITTTT TITTITTA PROBLEM 3 Consider the oscillating steam-engine mechanism shown above. Suppose that the input crank of length R = 42 mm is driven at a speed of d = 125 rpm, and that the frame length is G = 173 mm. Consider the situation when displacements 0 = 63°, f = 166.336°, s = 161.451 mm. a) What is input speed & in rad/sec? b) What is the angular speed in rad/sec? c) What is speed { in mm/sec?

Consider the oscillating steam-engine mechanism shown above.

Suppose that the input crank of length R = 42 mm is driven at a speed of EMBED Equation.DSMT4 = 125 rpm, and that the frame length is G = 173 mm.

Consider the situation when displacements θ = 63°, φ = 166.336°, s = 161.451 mm.

What is input speed EMBED Equation.DSMT4 in rad/sec?

What is the angular speed EMBED Equation.DSMT4 in rad/sec?

What is speed EMBED Equation.DSMT4 in mm/sec?

Answer 1

A Giveni R = 42 mm, 5=1610451 mm 6 = 63° 0 = 166.336 Ko Ó = 125 opm G C a) 8 = 27*125 - 13.08996 radser 60 b) Vector loop egh, AB = AC + CB in complex polar form, Rě = Ge tse Differentialing court , variables, @,5,9 i Roje o+soe + sê, using ve ze ;(63+90) 14166.336 +90) i4166336) 7 42613. 08.996) e = (161.4510 e + se. je real imaginary using, e = cosa + i sina real part, 549.7787 cos 153=161.451 0 cos 256.336+3 cos 166336 - ). imaginary,549.77873in 153 =161.451 05in 256-336+ś sini66.336 solving (18 (2), 0 = -0-78545 radisece c) & Ś= 584.9534 mm/sec cs Scanned with CamScanner