please solve : The gear set shown in Figure P6.3 consists of three 20degree full
ID: 1857715 • Letter: P
Question
please solve :
The gear set shown in Figure P6.3 consists of three 20degree full-depth spur gears with a module of 8 mm and the following tooth numbers: N1 = 20, N2 = 40, and N3 = 100. Gear 2 is an idler. The unit transmits 20 kW at a rotational speed of 1000 rev/min of gear 1 in the clockwise direction. Determine the following: The center distances The rotational velocity (magnitude and direction) of each gear. The torque transmitted to each shaft. All forces (magnitude and direction) on each gear.Explanation / Answer
module = 8 mm
N1 = 20
N2 = 40
N3 = 100
(a)CD(1-2) = m(N1+N2)/2 = 240 mm
CD(2-3) = m(N2+N3)/2 = 560 mm
CD(1-3) = m(N3+N1)/2 = 480 mm
(b)w1 = 100 rpm clockwise
W2 = 100*(20/40) = 50 rpm anti-clockwise
W3 = 50*(40/100) = 20 rpm clockwise
(C) T1 = P/W = 20000/(2*pi*W1/60) = 1909 Nm
T2 = P/W2 = 3819.71 Nm
T3 = 9548.29 Nm
(d) Fr1 = T1cos(20)/r1 = 11.21 kN
Ft1 = 4.08 kN
Fr2 = 22.43 kN
Ft2 = 8.165 kN
Fr3 = 22.43 kN
Ft3 = 8.16 kN
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.