Question

please help with solving the variables in the drawing of the photo (rc, wc, wb, rb, ra) and please include an explantion of how it would work

Dynamics Project: Part 1 Project Description: The saw blade in a lumber mill is required to remain in the horizontal position and undergo a complete Dack-and-forth motion in 2 seconds. An electric motor having a shaft rotation of 50 rad/s constant, is available to power the saw and can be located anywhere. Design a mechanism that will transfer the rotation of the motor's shaft to the saw blade. To do this, first design a gear mechanism (with at least 3 gears!) that will give the final pulley a complete revolution in 2s. This is the first part of your project! Note: This project can be solved easily if you find first wc. Think what would be that angular velocity in order for gear C to do a complete revolution in 2s. WA = so rau/s ro WB rB= rA= WC so rad radus of 109 not needed feet -us costamery system in Reword top descrenon Project Requirements: 1. Cover page 2. Introduction or problem statement. 3. A detail description of how your design works (use the Engineering System!). Example: In my design the motor turns Gear A (radius 3 inches) with a speed of 50 rad/sec. Gear A gives Gear B (radius 10 inches) an angular velocity of 10 rad/sec which in turn gives Gear C the desire angular velocity of ??? for the blade to undergo a complete back and forward motion in 25. 4. A detail drawing of your Design. Label each gear, include radii, angular velocities for each one. Show dimensions. 5. An Equation Page showing a detail step by step procedure of how you solve your problem to find the angular velocity needed for the blade to undergo a back and forward cycle in 2s. Show all equations. you get all valves prus work where

Answer 1

Col. 1) COVER PAGE: SAW BLADE MECHANISM 23 After analysing the problem we observe that we meed to desiog a mechanism of saw blade in a mumber 12111 that remain im horizontal position and undergoes a complete back and forth ronation is a sec which means that blade rotates at 0.5 revolution per second. 3) Given data for gear A. Radius =3 inches Angular velocity Bonudbec It means that gear A is completely attached to the motor since the motor velocity angular gear gears: Radius = 10 inch Angulay velocity = 1 Oradbec It means that gear B is attached parallel to the axis of the goar A which helps in rotating the 4% Design of saw black. [groen wm=50 rad/sec ane same. and the gear e Motor with I= 31.844 - 3.14 rodbec] gooor A R=3inch WA= 50 red (sec. B [ saw blade goat r=1011 wB= to rad kec

conethod a bach 5) Equation which shows the step by step procedure to find the angular velocity meeded for one blade to under go acid forward cycle im 23. we have 25- back to forth = 0.5re No=NC=0.5rev/sec sec A gear B. For Radius Asin DA=6inches angular velocity = 50 radlec For gear Radius B=10inches BB=20in angular velocity=10 nadleec Geoco C DC=? wo? Nc=0.58euls we know that wech2 = di dz WELTN for Nim mimis and w=2&N for N im sed's Now wc-2KNC - 2xX0.5 - 3.1 rad/sec uc=3.14 radlec wi wc wp DB PC = 3.14 Pc #20x10 3.14 10 D C D C = 63.64 inches .. Radius of gear C is RC=31.84 in Angular velocity of gear C and blade=3.14 rad Lec.
Note:plzzz don't give dislike.........plzzz comment if you have any problem i will try to solve your problem....plzzz give thumbs up i am in need.....