Question

Make derivation for the velocity and accelaration for circular arc cam

Answer 1

Circular arc and tangent cams
Tangent Cam with Reciprocating Roller Follower
When the flanks of the cam are straight and tangential to the base circle and nose circle, then the cam is known as a
tangent cam
,
as shown in Fig. These cams are usually symmetrical about the centre line of the cam shaft. Such type of cams are used for operating the inlet and exhaust valves of internal combustion engines. We shall now derive the expressions for displacement, velocity and acceleration of the follower for the following two cases :
1.
When the roller has contact with the straight flanks  and
2.
When the roller has contact with the nose.!et
r
"
# $adius of the base circle or minimum radius of the cam,
r
%
# $adius of the roller,
r
&
# $adius of nose,' # Semi(angle of action of cam or angle of ascent,) # *ngle turned by the cam from the beginning of the roller displacement,+ # *ngle turned by the cam for contact of roller with the straight flank, and # *ngular velocity of the cam.