Different types of follower motions –
The follower during its travel may have one of the following motions:-
Uniform velocity, Simple harmonic motion, Uniform acceleration and retardation, Cycloidal motion.
Displacement Diagram of Uniform Velocity:
Ans.: Given data; N1 = 80 rpm. N2 =150 rpm. D1= 600 mm. S = 4 % To find; D2 =?;
(i) Case I: Taking t = 5 mm. Velocity ratio, (V.R.) N2/N1 = (D1 + t)/ (D2 + t)
150/80 = (600 + 5)/ (D2 + 5)
Therefore, diameter of driven pulley D2 = 317.66 mm ~ 318mm
(ii) Case II: Assuming for belt thickness 5 mm and total slip of 4%. Velocity ratio, (V.R.) N2/N1 = {(D1 + t)/ (D2 + t)} × {1- (S/100)}
150/80 = {(600 + 5) / (D2 + 5)} × {1- (4/100)
Therefore, diameter of driven pulley D2 = 304.76 mm ~ 305 mm
Applications- Automobiles like scooters, motorcycles, textile and paper industries, machine tools
Linear Velocity: It may be defined as the rate of change of linear displacement of a body with respect to the time. Since velocity is always expressed in a particular direction, therefore it is a vector quantity. Mathematically, linear velocity, v = ds/dt
Angular Velocity: It may be defined as the rate of change of angular displacement with respect to time. It is usually expressed by a Greek letter ɷ (omega). Mathematically, angular velocity, ɷ = dƟ /dt
